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Sage 9.6 Documentation
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Reference Manual
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Elliptic curves
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Index
Index
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B
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C
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D
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E
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F
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G
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H
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I
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J
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K
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L
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M
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N
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O
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P
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Q
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R
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S
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T
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U
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V
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W
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X
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Y
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Z
A
a1() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
a2() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
a3() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
a4() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
a6() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
a_invariants() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
a_number() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method)
abelian_group() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method)
abelian_variety() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
absolute_degree() (sage.schemes.elliptic_curves.heegner.RingClassField method)
absolute_igusa_invariants_kohel() (in module sage.schemes.hyperelliptic_curves.invariants)
(sage.schemes.hyperelliptic_curves.hyperelliptic_g2.HyperellipticCurve_g2 method)
absolute_igusa_invariants_wamelen() (in module sage.schemes.hyperelliptic_curves.invariants)
(sage.schemes.hyperelliptic_curves.hyperelliptic_g2.HyperellipticCurve_g2 method)
add_reductions() (sage.schemes.elliptic_curves.saturation.EllipticCurveSaturator method)
additive_order() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_field method)
(sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_finite_field method)
(sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field method)
adjusted_prec() (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer)
ainvs() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
all_values_for_one_denominator() (sage.schemes.elliptic_curves.mod_sym_num.ModularSymbolNumerical method)
alpha() (sage.schemes.elliptic_curves.heegner.GaloisAutomorphismQuadraticForm method)
(sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method)
(sage.schemes.elliptic_curves.padic_lseries.pAdicLseries method)
an() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
(sage.schemes.elliptic_curves.sha_tate.Sha method)
an_numerical() (sage.schemes.elliptic_curves.sha_tate.Sha method)
an_padic() (sage.schemes.elliptic_curves.sha_tate.Sha method)
analytic_rank() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
analytic_rank_upper_bound() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
anlist() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
antilogarithm() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
ap() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
aplist() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
approximative_value() (sage.schemes.elliptic_curves.mod_sym_num.ModularSymbolNumerical method)
archimedean_local_height() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field method)
are_projectively_equivalent() (in module sage.schemes.elliptic_curves.constructor)
at1() (sage.schemes.elliptic_curves.lseries_ell.Lseries_ell method)
ate_pairing() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_field method)
atkin_lehner_act() (sage.schemes.elliptic_curves.heegner.HeegnerPointOnX0N method)
automorphisms() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
B
B() (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method)
b2() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
b4() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
b6() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
b8() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
b_invariants() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
bad_reduction_type() (sage.schemes.elliptic_curves.ell_local_data.EllipticCurveLocalData method)
base_extend() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
(sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.hyperelliptic_curves.hyperelliptic_generic.HyperellipticCurve_generic method)
(sage.schemes.hyperelliptic_curves.jacobian_homset.JacobianHomset_divisor_classes method)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferentialRing method)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientRing method)
base_field() (sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method)
(sage.schemes.elliptic_curves.heegner.GaloisGroup method)
(sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method)
base_ring() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
(sage.schemes.elliptic_curves.ell_modular_symbols.ModularSymbol method)
baseWI (class in sage.schemes.elliptic_curves.weierstrass_morphism)
basis() (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method)
basis_matrix() (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method)
bernardi_sigma_function() (sage.schemes.elliptic_curves.padic_lseries.pAdicLseriesSupersingular method)
beta() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlgEmbedding method)
betas() (sage.schemes.elliptic_curves.heegner.HeegnerPoints_level_disc_cond method)
Billerey_B_bound() (in module sage.schemes.elliptic_curves.gal_reps_number_field)
Billerey_B_l() (in module sage.schemes.elliptic_curves.gal_reps_number_field)
Billerey_P_l() (in module sage.schemes.elliptic_curves.gal_reps_number_field)
Billerey_R_bound() (in module sage.schemes.elliptic_curves.gal_reps_number_field)
Billerey_R_q() (in module sage.schemes.elliptic_curves.gal_reps_number_field)
border() (sage.schemes.elliptic_curves.period_lattice_region.PeriodicRegion method)
bound() (sage.schemes.elliptic_curves.sha_tate.Sha method)
bound_kato() (sage.schemes.elliptic_curves.sha_tate.Sha method)
bound_kolyvagin() (sage.schemes.elliptic_curves.sha_tate.Sha method)
brandt_module() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method)
C
c4() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
c6() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
c_invariants() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
cantor_composition() (in module sage.schemes.hyperelliptic_curves.jacobian_morphism)
cantor_composition_simple() (in module sage.schemes.hyperelliptic_curves.jacobian_morphism)
cantor_reduction() (in module sage.schemes.hyperelliptic_curves.jacobian_morphism)
cantor_reduction_simple() (in module sage.schemes.hyperelliptic_curves.jacobian_morphism)
cardinality() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method)
(sage.schemes.elliptic_curves.heegner.GaloisGroup method)
(sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method)
cardinality_bsgs() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method)
cardinality_exhaustive() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method)
(sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method)
cardinality_hypellfrob() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method)
cardinality_pari() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method)
Cartier_matrix() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method)
change_ring() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
(sage.schemes.hyperelliptic_curves.hyperelliptic_generic.HyperellipticCurve_generic method)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferentialRing method)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientElement method)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientRing method)
change_weierstrass_model() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
check_prime() (in module sage.schemes.elliptic_curves.ell_local_data)
chord_and_tangent() (in module sage.schemes.elliptic_curves.constructor)
class_number() (in module sage.schemes.elliptic_curves.heegner)
clear_cache() (sage.schemes.elliptic_curves.mod_sym_num.ModularSymbolNumerical method)
clebsch_invariants() (in module sage.schemes.hyperelliptic_curves.invariants)
(sage.schemes.hyperelliptic_curves.hyperelliptic_g2.HyperellipticCurve_g2 method)
clebsch_to_igusa() (in module sage.schemes.hyperelliptic_curves.invariants)
cm_discriminant() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
cm_j_invariants() (in module sage.schemes.elliptic_curves.cm)
cm_j_invariants_and_orders() (in module sage.schemes.elliptic_curves.cm)
cm_orders() (in module sage.schemes.elliptic_curves.cm)
codomain() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlgEmbedding method)
coeff() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method)
coefficients_from_j() (in module sage.schemes.elliptic_curves.constructor)
coefficients_from_Weierstrass_polynomial() (in module sage.schemes.elliptic_curves.constructor)
coeffs() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialCubicQuotientRingElement method)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientElement method)
coleman_integral() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method)
coleman_integral_from_weierstrass_via_boundary() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method)
coleman_integral_P_to_S() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method)
coleman_integral_S_to_Q() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method)
coleman_integrals_on_basis() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method)
coleman_integrals_on_basis_hyperelliptic() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method)
complex_area() (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method)
complex_conjugation() (sage.schemes.elliptic_curves.heegner.GaloisGroup method)
complex_intersection_is_empty() (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method)
compute_codomain_formula() (in module sage.schemes.elliptic_curves.ell_curve_isogeny)
compute_codomain_kohel() (in module sage.schemes.elliptic_curves.ell_curve_isogeny)
compute_intermediate_curves() (in module sage.schemes.elliptic_curves.ell_curve_isogeny)
compute_isogeny_kernel_polynomial() (in module sage.schemes.elliptic_curves.ell_curve_isogeny)
compute_isogeny_starks() (in module sage.schemes.elliptic_curves.ell_curve_isogeny)
compute_sequence_of_maps() (in module sage.schemes.elliptic_curves.ell_curve_isogeny)
compute_vw_kohel_even_deg1() (in module sage.schemes.elliptic_curves.ell_curve_isogeny)
compute_vw_kohel_even_deg3() (in module sage.schemes.elliptic_curves.ell_curve_isogeny)
compute_vw_kohel_odd() (in module sage.schemes.elliptic_curves.ell_curve_isogeny)
compute_wp_fast() (in module sage.schemes.elliptic_curves.ell_wp)
compute_wp_pari() (in module sage.schemes.elliptic_curves.ell_wp)
compute_wp_quadratic() (in module sage.schemes.elliptic_curves.ell_wp)
conductor() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
(sage.schemes.elliptic_curves.heegner.HeegnerPoint method)
(sage.schemes.elliptic_curves.heegner.HeegnerPoints_level_disc_cond method)
(sage.schemes.elliptic_curves.heegner.KolyvaginCohomologyClass method)
(sage.schemes.elliptic_curves.heegner.RingClassField method)
conductor_valuation() (sage.schemes.elliptic_curves.ell_local_data.EllipticCurveLocalData method)
congruence_number() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
conjugacy_test() (in module sage.schemes.elliptic_curves.Qcurves)
conjugate() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlgEmbedding method)
conjugates_over_K() (sage.schemes.elliptic_curves.heegner.HeegnerPointOnEllipticCurve method)
contract() (sage.schemes.elliptic_curves.period_lattice_region.PeriodicRegion method)
coordinates() (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method)
copy() (sage.schemes.elliptic_curves.isogeny_class.IsogenyClass_EC_NumberField method)
(sage.schemes.elliptic_curves.isogeny_class.IsogenyClass_EC_Rational method)
count_points() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method)
(sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method)
count_points_exhaustive() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method)
count_points_frobenius_polynomial() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method)
count_points_hypellfrob() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method)
count_points_matrix_traces() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method)
CPS_height_bound() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
create_element() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialCubicQuotientRing method)
create_key_and_extra_args() (sage.schemes.elliptic_curves.constructor.EllipticCurveFactory method)
create_object() (sage.schemes.elliptic_curves.constructor.EllipticCurveFactory method)
cremona_curves() (in module sage.schemes.elliptic_curves.ell_rational_field)
cremona_label() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
cremona_optimal_curves() (in module sage.schemes.elliptic_curves.ell_rational_field)
curve() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_field method)
(sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method)
(sage.schemes.elliptic_curves.ell_torsion.EllipticCurveTorsionSubgroup method)
(sage.schemes.elliptic_curves.formal_group.EllipticCurveFormalGroup method)
(sage.schemes.elliptic_curves.heegner.HeegnerPointOnEllipticCurve method)
(sage.schemes.elliptic_curves.heegner.KolyvaginPoint method)
(sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method)
(sage.schemes.elliptic_curves.modular_parametrization.ModularParameterization method)
(sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method)
(sage.schemes.hyperelliptic_curves.jacobian_homset.JacobianHomset_divisor_classes method)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientRing method)
curve_key() (in module sage.schemes.elliptic_curves.ell_egros)
curve_over_ram_extn() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method)
cyclic_subideal_p1() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method)
D
data (sage.schemes.elliptic_curves.period_lattice_region.PeriodicRegion attribute)
database_attributes() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
database_curve() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
DE() (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method)
deg_one_primes_iter() (in module sage.schemes.elliptic_curves.gal_reps_number_field)
degree() (sage.schemes.elliptic_curves.ell_curve_isogeny.EllipticCurveIsogeny method)
(sage.schemes.elliptic_curves.hom.EllipticCurveHom method)
(sage.schemes.elliptic_curves.hom_composite.EllipticCurveHom_composite method)
(sage.schemes.elliptic_curves.weierstrass_morphism.WeierstrassIsomorphism method)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferentialRing method)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientRing method)
degree_over_H() (sage.schemes.elliptic_curves.heegner.RingClassField method)
degree_over_K() (sage.schemes.elliptic_curves.heegner.RingClassField method)
degree_over_Q() (sage.schemes.elliptic_curves.heegner.RingClassField method)
deriv_at1() (sage.schemes.elliptic_curves.lseries_ell.Lseries_ell method)
descend_to() (sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method)
diff() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientElement method)
differential() (sage.schemes.elliptic_curves.formal_group.EllipticCurveFormalGroup method)
differential_operator() (in module sage.schemes.hyperelliptic_curves.invariants)
diffsymb() (in module sage.schemes.hyperelliptic_curves.invariants)
diffxy() (in module sage.schemes.hyperelliptic_curves.invariants)
dimension() (sage.schemes.hyperelliptic_curves.jacobian_generic.HyperellipticJacobian_generic method)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferentialRing method)
discrete_log() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_finite_field method)
discriminant() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
(sage.schemes.elliptic_curves.heegner.HeegnerPoint method)
(sage.schemes.elliptic_curves.heegner.HeegnerPoints_level_disc method)
discriminant_of_K() (sage.schemes.elliptic_curves.heegner.RingClassField method)
discriminant_valuation() (sage.schemes.elliptic_curves.ell_local_data.EllipticCurveLocalData method)
discriminants() (sage.schemes.elliptic_curves.heegner.HeegnerPoints_level method)
discriminants_with_bounded_class_number() (in module sage.schemes.elliptic_curves.cm)
division_field() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
division_points() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_field method)
division_polynomial() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
division_polynomial_0() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
divisors_to_string() (in module sage.interfaces.genus2reduction)
dokchitser() (sage.schemes.elliptic_curves.lseries_ell.Lseries_ell method)
domain() (sage.schemes.elliptic_curves.heegner.GaloisAutomorphism method)
(sage.schemes.elliptic_curves.heegner.HeegnerQuatAlgEmbedding method)
domain_conductor() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlgEmbedding method)
domain_gen() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlgEmbedding method)
Dp_valued_height() (sage.schemes.elliptic_curves.padic_lseries.pAdicLseriesSupersingular method)
Dp_valued_regulator() (sage.schemes.elliptic_curves.padic_lseries.pAdicLseriesSupersingular method)
Dp_valued_series() (sage.schemes.elliptic_curves.padic_lseries.pAdicLseriesSupersingular method)
ds() (sage.schemes.elliptic_curves.period_lattice_region.PeriodicRegion method)
dual() (sage.schemes.elliptic_curves.ell_curve_isogeny.EllipticCurveIsogeny method)
(sage.schemes.elliptic_curves.hom.EllipticCurveHom method)
(sage.schemes.elliptic_curves.hom_composite.EllipticCurveHom_composite method)
(sage.schemes.elliptic_curves.weierstrass_morphism.WeierstrassIsomorphism method)
E
E2() (sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method)
e_log_RC() (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method)
e_p() (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method)
egros_from_j() (in module sage.schemes.elliptic_curves.ell_egros)
egros_from_j_0() (in module sage.schemes.elliptic_curves.ell_egros)
egros_from_j_1728() (in module sage.schemes.elliptic_curves.ell_egros)
egros_from_jlist() (in module sage.schemes.elliptic_curves.ell_egros)
egros_get_j() (in module sage.schemes.elliptic_curves.ell_egros)
ei() (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method)
Element (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferentialRing attribute)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialCubicQuotientRing attribute)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientRing attribute)
ell() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method)
ell_heegner_discriminants() (in module sage.schemes.elliptic_curves.heegner)
ell_heegner_discriminants_list() (in module sage.schemes.elliptic_curves.heegner)
ell_heegner_point() (in module sage.schemes.elliptic_curves.heegner)
elliptic_curve() (sage.schemes.elliptic_curves.ell_modular_symbols.ModularSymbol method)
(sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method)
(sage.schemes.elliptic_curves.gal_reps_number_field.GaloisRepresentation method)
(sage.schemes.elliptic_curves.lseries_ell.Lseries_ell method)
(sage.schemes.elliptic_curves.mod_sym_num.ModularSymbolNumerical method)
(sage.schemes.elliptic_curves.padic_lseries.pAdicLseries method)
elliptic_curve_congruence_graph() (in module sage.schemes.elliptic_curves.ell_rational_field)
elliptic_exponential() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
(sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method)
elliptic_logarithm() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field method)
(sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method)
EllipticCurve_field (class in sage.schemes.elliptic_curves.ell_field)
EllipticCurve_finite_field (class in sage.schemes.elliptic_curves.ell_finite_field)
EllipticCurve_from_c4c6() (in module sage.schemes.elliptic_curves.constructor)
EllipticCurve_from_cubic() (in module sage.schemes.elliptic_curves.constructor)
EllipticCurve_from_j() (in module sage.schemes.elliptic_curves.constructor)
EllipticCurve_from_Weierstrass_polynomial() (in module sage.schemes.elliptic_curves.constructor)
EllipticCurve_generic (class in sage.schemes.elliptic_curves.ell_generic)
EllipticCurve_number_field (class in sage.schemes.elliptic_curves.ell_number_field)
EllipticCurve_padic_field (class in sage.schemes.elliptic_curves.ell_padic_field)
EllipticCurve_rational_field (class in sage.schemes.elliptic_curves.ell_rational_field)
EllipticCurveCanonicalHeight (class in sage.schemes.elliptic_curves.height)
EllipticCurveFactory (class in sage.schemes.elliptic_curves.constructor)
EllipticCurveFormalGroup (class in sage.schemes.elliptic_curves.formal_group)
EllipticCurveHom (class in sage.schemes.elliptic_curves.hom)
EllipticCurveHom_composite (class in sage.schemes.elliptic_curves.hom_composite)
EllipticCurveIsogeny (class in sage.schemes.elliptic_curves.ell_curve_isogeny)
EllipticCurveLocalData (class in sage.schemes.elliptic_curves.ell_local_data)
EllipticCurvePoint (class in sage.schemes.elliptic_curves.ell_point)
EllipticCurvePoint_field (class in sage.schemes.elliptic_curves.ell_point)
EllipticCurvePoint_finite_field (class in sage.schemes.elliptic_curves.ell_point)
EllipticCurvePoint_number_field (class in sage.schemes.elliptic_curves.ell_point)
EllipticCurves (class in sage.schemes.elliptic_curves.ec_database)
EllipticCurves_with_good_reduction_outside_S() (in module sage.schemes.elliptic_curves.constructor)
EllipticCurveSaturator (class in sage.schemes.elliptic_curves.saturation)
EllipticCurveTorsionSubgroup (class in sage.schemes.elliptic_curves.ell_torsion)
eps() (in module sage.schemes.elliptic_curves.height)
eval_modular_form() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
expand() (sage.schemes.elliptic_curves.period_lattice_region.PeriodicRegion method)
extended_agm_iteration() (in module sage.schemes.elliptic_curves.period_lattice)
extract_pow_y() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientElement method)
F
factors() (sage.schemes.elliptic_curves.hom_composite.EllipticCurveHom_composite method)
faltings_height() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
field() (sage.schemes.elliptic_curves.heegner.GaloisGroup method)
fill_isogeny_matrix() (in module sage.schemes.elliptic_curves.ell_curve_isogeny)
fill_ss_j_dict() (in module sage.schemes.elliptic_curves.ell_finite_field)
find_char_zero_weier_point() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method)
finite_endpoints() (sage.schemes.elliptic_curves.height.UnionOfIntervals method)
fk_intervals() (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method)
formal() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
(sage.schemes.elliptic_curves.hom.EllipticCurveHom method)
(sage.schemes.elliptic_curves.hom_composite.EllipticCurveHom_composite method)
formal_group() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
Fricke_module() (in module sage.schemes.elliptic_curves.isogeny_small_degree)
Fricke_polynomial() (in module sage.schemes.elliptic_curves.isogeny_small_degree)
frob_basis_elements() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferentialRing method)
frob_invariant_differential() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferentialRing method)
frob_Q() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferentialRing method)
frobenius() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method)
(sage.schemes.elliptic_curves.ell_padic_field.EllipticCurve_padic_field method)
(sage.schemes.elliptic_curves.padic_lseries.pAdicLseriesSupersingular method)
(sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method)
frobenius_expansion_by_newton() (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer)
frobenius_expansion_by_series() (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer)
Frobenius_filter() (in module sage.schemes.elliptic_curves.gal_reps_number_field)
frobenius_matrix() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method)
frobenius_matrix_hypellfrob() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method)
frobenius_order() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method)
frobenius_polynomial() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method)
(sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method)
frobenius_polynomial_cardinalities() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method)
frobenius_polynomial_matrix() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method)
frobenius_polynomial_pari() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method)
from_factors() (sage.schemes.elliptic_curves.hom_composite.EllipticCurveHom_composite class method)
full (sage.schemes.elliptic_curves.period_lattice_region.PeriodicRegion attribute)
full_p_saturation() (sage.schemes.elliptic_curves.saturation.EllipticCurveSaturator method)
G
galois_group() (sage.schemes.elliptic_curves.heegner.RingClassField method)
galois_group_over_hilbert_class_field() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method)
galois_group_over_quadratic_field() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method)
galois_orbit_over_K() (sage.schemes.elliptic_curves.heegner.HeegnerPointOnX0N method)
galois_representation() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
GaloisAutomorphism (class in sage.schemes.elliptic_curves.heegner)
GaloisAutomorphismComplexConjugation (class in sage.schemes.elliptic_curves.heegner)
GaloisAutomorphismQuadraticForm (class in sage.schemes.elliptic_curves.heegner)
GaloisGroup (class in sage.schemes.elliptic_curves.heegner)
GaloisRepresentation (class in sage.schemes.elliptic_curves.gal_reps)
(class in sage.schemes.elliptic_curves.gal_reps_number_field)
gen() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
gens() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method)
(sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
(sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
(sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialCubicQuotientRing method)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientRing method)
gens_certain() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
gens_quadratic() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
genus() (sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method)
(sage.schemes.hyperelliptic_curves.hyperelliptic_generic.HyperellipticCurve_generic method)
Genus2reduction (class in sage.interfaces.genus2reduction)
geometric_endomorphism_algebra_is_field() (sage.schemes.hyperelliptic_curves.jacobian_generic.HyperellipticJacobian_generic method)
geometric_endomorphism_ring_is_ZZ() (sage.schemes.hyperelliptic_curves.jacobian_generic.HyperellipticJacobian_generic method)
get_boundary_point() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method)
get_post_isomorphism() (sage.schemes.elliptic_curves.ell_curve_isogeny.EllipticCurveIsogeny method)
get_pre_isomorphism() (sage.schemes.elliptic_curves.ell_curve_isogeny.EllipticCurveIsogeny method)
global_integral_model() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
global_minimal_model() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
global_minimality_class() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
graph() (sage.schemes.elliptic_curves.isogeny_class.IsogenyClass_EC method)
group_law() (sage.schemes.elliptic_curves.formal_group.EllipticCurveFormalGroup method)
H
has_additive_reduction() (sage.schemes.elliptic_curves.ell_local_data.EllipticCurveLocalData method)
(sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
has_bad_reduction() (sage.schemes.elliptic_curves.ell_local_data.EllipticCurveLocalData method)
(sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
has_cm() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
has_finite_order() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_field method)
(sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_finite_field method)
(sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field method)
has_global_minimal_model() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
has_good_reduction() (sage.schemes.elliptic_curves.ell_local_data.EllipticCurveLocalData method)
(sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field method)
has_good_reduction_outside_S() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
has_infinite_order() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_field method)
(sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field method)
has_multiplicative_reduction() (sage.schemes.elliptic_curves.ell_local_data.EllipticCurveLocalData method)
(sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
has_nonsplit_multiplicative_reduction() (sage.schemes.elliptic_curves.ell_local_data.EllipticCurveLocalData method)
(sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
has_odd_degree_model() (sage.schemes.hyperelliptic_curves.hyperelliptic_generic.HyperellipticCurve_generic method)
has_rational_cm() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
has_split_multiplicative_reduction() (sage.schemes.elliptic_curves.ell_local_data.EllipticCurveLocalData method)
(sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
hasse_invariant() (sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method)
Hasse_Witt() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method)
heegner_conductors() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method)
heegner_discriminants() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
(sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method)
heegner_discriminants_list() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
heegner_divisor() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method)
heegner_index() (in module sage.schemes.elliptic_curves.heegner)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
heegner_index_bound() (in module sage.schemes.elliptic_curves.heegner)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
heegner_point() (in module sage.schemes.elliptic_curves.heegner)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
(sage.schemes.elliptic_curves.heegner.KolyvaginCohomologyClass method)
(sage.schemes.elliptic_curves.heegner.KolyvaginPoint method)
heegner_point_height() (in module sage.schemes.elliptic_curves.heegner)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
heegner_point_on_X0N() (sage.schemes.elliptic_curves.heegner.HeegnerPointOnEllipticCurve method)
heegner_points() (in module sage.schemes.elliptic_curves.heegner)
heegner_sha_an() (in module sage.schemes.elliptic_curves.heegner)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
HeegnerPoint (class in sage.schemes.elliptic_curves.heegner)
HeegnerPointOnEllipticCurve (class in sage.schemes.elliptic_curves.heegner)
HeegnerPointOnX0N (class in sage.schemes.elliptic_curves.heegner)
HeegnerPoints (class in sage.schemes.elliptic_curves.heegner)
HeegnerPoints_level (class in sage.schemes.elliptic_curves.heegner)
HeegnerPoints_level_disc (class in sage.schemes.elliptic_curves.heegner)
HeegnerPoints_level_disc_cond (class in sage.schemes.elliptic_curves.heegner)
HeegnerQuatAlg (class in sage.schemes.elliptic_curves.heegner)
HeegnerQuatAlgEmbedding (class in sage.schemes.elliptic_curves.heegner)
height() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
height_function() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
height_pairing_matrix() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
helper_matrix() (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferentialRing method)
hilbert_class_polynomial() (in module sage.schemes.elliptic_curves.cm)
hypellfrob() (in module sage.schemes.hyperelliptic_curves.hypellfrob)
hyperelliptic_polynomials() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
(sage.schemes.hyperelliptic_curves.hyperelliptic_generic.HyperellipticCurve_generic method)
HyperellipticCurve() (in module sage.schemes.hyperelliptic_curves.constructor)
HyperellipticCurve_finite_field (class in sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field)
HyperellipticCurve_from_invariants() (in module sage.schemes.hyperelliptic_curves.mestre)
HyperellipticCurve_g2 (class in sage.schemes.hyperelliptic_curves.hyperelliptic_g2)
HyperellipticCurve_generic (class in sage.schemes.hyperelliptic_curves.hyperelliptic_generic)
HyperellipticCurve_padic_field (class in sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field)
HyperellipticCurve_rational_field (class in sage.schemes.hyperelliptic_curves.hyperelliptic_rational_field)
HyperellipticJacobian_g2 (class in sage.schemes.hyperelliptic_curves.jacobian_g2)
HyperellipticJacobian_generic (class in sage.schemes.hyperelliptic_curves.jacobian_generic)
I
ideal() (sage.schemes.elliptic_curves.heegner.GaloisAutomorphismQuadraticForm method)
igusa_clebsch_invariants() (in module sage.schemes.hyperelliptic_curves.invariants)
(sage.schemes.hyperelliptic_curves.hyperelliptic_g2.HyperellipticCurve_g2 method)
igusa_to_clebsch() (in module sage.schemes.hyperelliptic_curves.invariants)
image_classes() (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method)
image_type() (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method)
index() (sage.schemes.elliptic_curves.heegner.KolyvaginPoint method)
(sage.schemes.elliptic_curves.isogeny_class.IsogenyClass_EC method)
inf_max_abs() (in module sage.schemes.elliptic_curves.height)
init() (in module sage.schemes.elliptic_curves.gp_simon)
innermost_point() (sage.schemes.elliptic_curves.period_lattice_region.PeriodicRegion method)
integral_model() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
integral_points() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
integral_points_with_bounded_mw_coeffs() (in module sage.schemes.elliptic_curves.ell_rational_field)
integral_short_weierstrass_model() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
integral_x_coords_in_interval() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
integrate() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method)
intersection() (sage.schemes.elliptic_curves.height.UnionOfIntervals class method)
interval_products() (in module sage.schemes.hyperelliptic_curves.hypellfrob)
intervals() (sage.schemes.elliptic_curves.height.UnionOfIntervals method)
invariant_differential() (sage.schemes.hyperelliptic_curves.hyperelliptic_generic.HyperellipticCurve_generic method)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferentialRing method)
inverse() (sage.schemes.elliptic_curves.formal_group.EllipticCurveFormalGroup method)
(sage.schemes.elliptic_curves.weierstrass_transform.WeierstrassTransformationWithInverse_class method)
is_cm_j_invariant() (in module sage.schemes.elliptic_curves.cm)
is_crystalline() (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method)
is_divisible_by() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_field method)
is_EllipticCurve() (in module sage.schemes.elliptic_curves.ell_generic)
is_empty() (sage.schemes.elliptic_curves.height.UnionOfIntervals method)
(sage.schemes.elliptic_curves.period_lattice_region.PeriodicRegion method)
is_field() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientRing method)
is_finite_order() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_field method)
is_global_integral_model() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
is_global_minimal_model() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
is_good() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
is_HyperellipticCurve() (in module sage.schemes.hyperelliptic_curves.hyperelliptic_generic)
is_identity() (sage.schemes.elliptic_curves.weierstrass_morphism.baseWI method)
is_in_weierstrass_disc() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method)
is_inert() (in module sage.schemes.elliptic_curves.heegner)
is_injective() (sage.schemes.elliptic_curves.hom.EllipticCurveHom method)
(sage.schemes.elliptic_curves.hom_composite.EllipticCurveHom_composite method)
is_integral() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
is_irreducible() (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method)
is_isogenous() (sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method)
(sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method)
(sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
is_isomorphic() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
is_j_supersingular() (in module sage.schemes.elliptic_curves.ell_finite_field)
is_kernel_polynomial() (in module sage.schemes.elliptic_curves.isogeny_small_degree)
is_kolyvagin() (sage.schemes.elliptic_curves.heegner.GaloisGroup method)
is_kolyvagin_conductor() (in module sage.schemes.elliptic_curves.heegner)
is_local_integral_model() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
is_minimal() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
is_normalized() (sage.schemes.elliptic_curves.hom.EllipticCurveHom method)
is_odd_degree() (sage.schemes.hyperelliptic_curves.hyperelliptic_g2.HyperellipticCurve_g2 method)
is_on_curve() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
is_on_identity_component() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field method)
is_ordinary() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
(sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method)
(sage.schemes.elliptic_curves.padic_lseries.pAdicLseriesOrdinary method)
(sage.schemes.elliptic_curves.padic_lseries.pAdicLseriesSupersingular method)
is_p_integral() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
is_p_minimal() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
is_possible_j() (in module sage.schemes.elliptic_curves.ell_egros)
is_potentially_crystalline() (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method)
is_potentially_semistable() (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method)
is_Q_curve() (in module sage.schemes.elliptic_curves.Qcurves)
(sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
is_quadratic_twist() (sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method)
is_quartic_twist() (sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method)
is_quasi_unipotent() (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method)
is_ramified() (in module sage.schemes.elliptic_curves.heegner)
is_real() (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method)
is_rectangular() (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method)
is_reducible() (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method)
is_same_disc() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method)
is_semistable() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
(sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method)
is_separable() (sage.schemes.elliptic_curves.hom.EllipticCurveHom method)
(sage.schemes.elliptic_curves.hom_composite.EllipticCurveHom_composite method)
is_sextic_twist() (sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method)
is_singular() (sage.schemes.hyperelliptic_curves.hyperelliptic_generic.HyperellipticCurve_generic method)
is_smooth() (sage.schemes.hyperelliptic_curves.hyperelliptic_generic.HyperellipticCurve_generic method)
is_split() (in module sage.schemes.elliptic_curves.heegner)
(sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method)
is_subfield() (sage.schemes.elliptic_curves.heegner.RingClassField method)
is_supersingular() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
(sage.schemes.elliptic_curves.padic_lseries.pAdicLseriesOrdinary method)
(sage.schemes.elliptic_curves.padic_lseries.pAdicLseriesSupersingular method)
is_surjective() (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method)
(sage.schemes.elliptic_curves.gal_reps_number_field.GaloisRepresentation method)
(sage.schemes.elliptic_curves.hom.EllipticCurveHom method)
is_unipotent() (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method)
is_unramified() (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method)
is_weierstrass() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method)
is_x_coord() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
is_zero() (sage.schemes.elliptic_curves.hom.EllipticCurveHom method)
isogenies() (sage.schemes.elliptic_curves.isogeny_class.IsogenyClass_EC method)
isogenies_13_0() (in module sage.schemes.elliptic_curves.isogeny_small_degree)
isogenies_13_1728() (in module sage.schemes.elliptic_curves.isogeny_small_degree)
isogenies_2() (in module sage.schemes.elliptic_curves.isogeny_small_degree)
isogenies_3() (in module sage.schemes.elliptic_curves.isogeny_small_degree)
isogenies_5_0() (in module sage.schemes.elliptic_curves.isogeny_small_degree)
isogenies_5_1728() (in module sage.schemes.elliptic_curves.isogeny_small_degree)
isogenies_7_0() (in module sage.schemes.elliptic_curves.isogeny_small_degree)
isogenies_7_1728() (in module sage.schemes.elliptic_curves.isogeny_small_degree)
isogenies_prime_degree() (in module sage.schemes.elliptic_curves.isogeny_small_degree)
(sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method)
(sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
isogenies_prime_degree_general() (in module sage.schemes.elliptic_curves.isogeny_small_degree)
isogenies_prime_degree_genus_0() (in module sage.schemes.elliptic_curves.isogeny_small_degree)
isogenies_prime_degree_genus_plus_0() (in module sage.schemes.elliptic_curves.isogeny_small_degree)
isogenies_prime_degree_genus_plus_0_j0() (in module sage.schemes.elliptic_curves.isogeny_small_degree)
isogenies_prime_degree_genus_plus_0_j1728() (in module sage.schemes.elliptic_curves.isogeny_small_degree)
isogenies_sporadic_Q() (in module sage.schemes.elliptic_curves.isogeny_small_degree)
isogeny() (sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method)
isogeny_bound() (sage.schemes.elliptic_curves.gal_reps_number_field.GaloisRepresentation method)
isogeny_class() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
isogeny_codomain() (sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method)
isogeny_codomain_from_kernel() (in module sage.schemes.elliptic_curves.ell_curve_isogeny)
isogeny_degree() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
isogeny_degrees_cm() (in module sage.schemes.elliptic_curves.isogeny_class)
isogeny_determine_algorithm() (in module sage.schemes.elliptic_curves.ell_curve_isogeny)
isogeny_ell_graph() (sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method)
isogeny_graph() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
IsogenyClass_EC (class in sage.schemes.elliptic_curves.isogeny_class)
IsogenyClass_EC_NumberField (class in sage.schemes.elliptic_curves.isogeny_class)
IsogenyClass_EC_Rational (class in sage.schemes.elliptic_curves.isogeny_class)
isomorphism_to() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
isomorphisms() (in module sage.schemes.elliptic_curves.weierstrass_morphism)
(sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
J
j_invariant() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
Jacobian() (in module sage.schemes.elliptic_curves.jacobian)
jacobian() (sage.schemes.hyperelliptic_curves.hyperelliptic_g2.HyperellipticCurve_g2 method)
(sage.schemes.hyperelliptic_curves.hyperelliptic_generic.HyperellipticCurve_generic method)
Jacobian_of_curve() (in module sage.schemes.elliptic_curves.jacobian)
Jacobian_of_equation() (in module sage.schemes.elliptic_curves.jacobian)
JacobianHomset_divisor_classes (class in sage.schemes.hyperelliptic_curves.jacobian_homset)
JacobianMorphism_divisor_class_field (class in sage.schemes.hyperelliptic_curves.jacobian_morphism)
join() (sage.schemes.elliptic_curves.height.UnionOfIntervals static method)
K
kernel_polynomial() (sage.schemes.elliptic_curves.ell_curve_isogeny.EllipticCurveIsogeny method)
(sage.schemes.elliptic_curves.hom.EllipticCurveHom method)
(sage.schemes.elliptic_curves.hom_composite.EllipticCurveHom_composite method)
(sage.schemes.elliptic_curves.weierstrass_morphism.WeierstrassIsomorphism method)
kodaira_symbol() (sage.schemes.elliptic_curves.ell_local_data.EllipticCurveLocalData method)
(sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
kodaira_type() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
kodaira_type_old() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
KodairaSymbol() (in module sage.schemes.elliptic_curves.kodaira_symbol)
KodairaSymbol_class (class in sage.schemes.elliptic_curves.kodaira_symbol)
kolyvagin_cohomology_class() (sage.schemes.elliptic_curves.heegner.HeegnerPointOnEllipticCurve method)
(sage.schemes.elliptic_curves.heegner.KolyvaginPoint method)
kolyvagin_conductors() (sage.schemes.elliptic_curves.heegner.HeegnerPoints_level_disc method)
kolyvagin_cyclic_subideals() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method)
kolyvagin_generator() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method)
kolyvagin_generators() (sage.schemes.elliptic_curves.heegner.GaloisGroup method)
(sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method)
kolyvagin_point() (in module sage.schemes.elliptic_curves.heegner)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
(sage.schemes.elliptic_curves.heegner.HeegnerPointOnEllipticCurve method)
(sage.schemes.elliptic_curves.heegner.KolyvaginCohomologyClass method)
kolyvagin_point_on_curve() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method)
kolyvagin_reduction_data() (in module sage.schemes.elliptic_curves.heegner)
kolyvagin_sigma_operator() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method)
KolyvaginCohomologyClass (class in sage.schemes.elliptic_curves.heegner)
KolyvaginCohomologyClassEn (class in sage.schemes.elliptic_curves.heegner)
KolyvaginPoint (class in sage.schemes.elliptic_curves.heegner)
kummer_morphism() (sage.schemes.hyperelliptic_curves.hyperelliptic_g2.HyperellipticCurve_g2 method)
kummer_surface() (sage.schemes.hyperelliptic_curves.jacobian_g2.HyperellipticJacobian_g2 method)
KummerSurface (class in sage.schemes.hyperelliptic_curves.kummer_surface)
L
L1_vanishes() (sage.schemes.elliptic_curves.lseries_ell.Lseries_ell method)
L_invariant() (sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method)
L_ratio() (sage.schemes.elliptic_curves.lseries_ell.Lseries_ell method)
label() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
Lambda() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
largest_fundamental_disc_with_class_number() (in module sage.schemes.elliptic_curves.cm)
left_orders() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method)
level() (sage.schemes.elliptic_curves.heegner.HeegnerPoint method)
(sage.schemes.elliptic_curves.heegner.HeegnerPoints method)
(sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method)
lift() (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer)
(sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method)
lift_of_hilbert_class_field_galois_group() (sage.schemes.elliptic_curves.heegner.GaloisGroup method)
lift_x() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
(sage.schemes.hyperelliptic_curves.hyperelliptic_generic.HyperellipticCurve_generic method)
lll_reduce() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
lmfdb_page() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
local_analytic_interpolation() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method)
local_coord() (sage.schemes.hyperelliptic_curves.hyperelliptic_generic.HyperellipticCurve_generic method)
local_coordinates_at_infinity() (sage.schemes.hyperelliptic_curves.hyperelliptic_generic.HyperellipticCurve_generic method)
local_coordinates_at_nonweierstrass() (sage.schemes.hyperelliptic_curves.hyperelliptic_generic.HyperellipticCurve_generic method)
local_coordinates_at_weierstrass() (sage.schemes.hyperelliptic_curves.hyperelliptic_generic.HyperellipticCurve_generic method)
local_data() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
local_integral_model() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
local_minimal_model() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
log() (sage.schemes.elliptic_curves.formal_group.EllipticCurveFormalGroup method)
lseries() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
Lseries_ell (class in sage.schemes.elliptic_curves.lseries_ell)
lseries_gross_zagier() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
M
make_default() (sage.schemes.elliptic_curves.hom_composite.EllipticCurveHom_composite static method)
make_monic() (in module sage.schemes.elliptic_curves.heegner)
manin_constant() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
manin_symbol() (sage.schemes.elliptic_curves.mod_sym_num.ModularSymbolNumerical method)
map_to_complex_numbers() (sage.schemes.elliptic_curves.heegner.HeegnerPointOnEllipticCurve method)
(sage.schemes.elliptic_curves.modular_parametrization.ModularParameterization method)
map_to_curve() (sage.schemes.elliptic_curves.heegner.HeegnerPointOnX0N method)
matrix() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlgEmbedding method)
(sage.schemes.elliptic_curves.isogeny_class.IsogenyClass_EC method)
matrix_of_frobenius() (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
(sage.schemes.hyperelliptic_curves.hyperelliptic_rational_field.HyperellipticCurve_rational_field method)
matrix_of_frobenius_hyperelliptic() (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer)
max_pow_y() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientElement method)
ME() (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method)
measure() (sage.schemes.elliptic_curves.padic_lseries.pAdicLseries method)
Mestre_conic() (in module sage.schemes.hyperelliptic_curves.mestre)
min() (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method)
min_gr() (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method)
min_on_disk() (in module sage.schemes.elliptic_curves.height)
min_pow_y() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientElement method)
minimal_discriminant_ideal() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
minimal_model() (sage.schemes.elliptic_curves.ell_local_data.EllipticCurveLocalData method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
minimal_quadratic_twist() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
mod() (sage.schemes.elliptic_curves.heegner.KolyvaginPoint method)
mod5family() (in module sage.schemes.elliptic_curves.mod5family)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
modp_dual_elliptic_curve_factor() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method)
modp_splitting_data() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method)
modp_splitting_map() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method)
modular_degree() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
modular_form() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
modular_parametrization() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
modular_symbol() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
(sage.schemes.elliptic_curves.padic_lseries.pAdicLseries method)
modular_symbol_numerical() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
modular_symbol_space() (in module sage.schemes.elliptic_curves.ell_modular_symbols)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
ModularParameterization (class in sage.schemes.elliptic_curves.modular_parametrization)
ModularSymbol (class in sage.schemes.elliptic_curves.ell_modular_symbols)
ModularSymbolECLIB (class in sage.schemes.elliptic_curves.ell_modular_symbols)
ModularSymbolNumerical (class in sage.schemes.elliptic_curves.mod_sym_num)
ModularSymbolSage (class in sage.schemes.elliptic_curves.ell_modular_symbols)
module
sage.interfaces.genus2reduction
sage.schemes.elliptic_curves.cm
sage.schemes.elliptic_curves.constructor
sage.schemes.elliptic_curves.descent_two_isogeny
sage.schemes.elliptic_curves.ec_database
sage.schemes.elliptic_curves.ell_curve_isogeny
sage.schemes.elliptic_curves.ell_egros
sage.schemes.elliptic_curves.ell_field
sage.schemes.elliptic_curves.ell_finite_field
sage.schemes.elliptic_curves.ell_generic
sage.schemes.elliptic_curves.ell_local_data
sage.schemes.elliptic_curves.ell_modular_symbols
sage.schemes.elliptic_curves.ell_number_field
sage.schemes.elliptic_curves.ell_padic_field
sage.schemes.elliptic_curves.ell_point
sage.schemes.elliptic_curves.ell_rational_field
sage.schemes.elliptic_curves.ell_tate_curve
sage.schemes.elliptic_curves.ell_torsion
sage.schemes.elliptic_curves.ell_wp
sage.schemes.elliptic_curves.formal_group
sage.schemes.elliptic_curves.gal_reps
sage.schemes.elliptic_curves.gal_reps_number_field
sage.schemes.elliptic_curves.gp_simon
sage.schemes.elliptic_curves.heegner
sage.schemes.elliptic_curves.height
sage.schemes.elliptic_curves.hom
sage.schemes.elliptic_curves.hom_composite
sage.schemes.elliptic_curves.isogeny_class
sage.schemes.elliptic_curves.isogeny_small_degree
sage.schemes.elliptic_curves.jacobian
sage.schemes.elliptic_curves.kodaira_symbol
sage.schemes.elliptic_curves.lseries_ell
sage.schemes.elliptic_curves.mod5family
sage.schemes.elliptic_curves.mod_sym_num
sage.schemes.elliptic_curves.modular_parametrization
sage.schemes.elliptic_curves.padic_lseries
sage.schemes.elliptic_curves.period_lattice
sage.schemes.elliptic_curves.period_lattice_region
sage.schemes.elliptic_curves.Qcurves
sage.schemes.elliptic_curves.saturation
sage.schemes.elliptic_curves.sha_tate
sage.schemes.elliptic_curves.weierstrass_morphism
sage.schemes.elliptic_curves.weierstrass_transform
sage.schemes.hyperelliptic_curves.constructor
sage.schemes.hyperelliptic_curves.hypellfrob
sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field
sage.schemes.hyperelliptic_curves.hyperelliptic_g2
sage.schemes.hyperelliptic_curves.hyperelliptic_generic
sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field
sage.schemes.hyperelliptic_curves.hyperelliptic_rational_field
sage.schemes.hyperelliptic_curves.invariants
sage.schemes.hyperelliptic_curves.jacobian_g2
sage.schemes.hyperelliptic_curves.jacobian_generic
sage.schemes.hyperelliptic_curves.jacobian_homset
sage.schemes.hyperelliptic_curves.jacobian_morphism
sage.schemes.hyperelliptic_curves.kummer_surface
sage.schemes.hyperelliptic_curves.mestre
sage.schemes.hyperelliptic_curves.monsky_washnitzer
monomial() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientRing method)
monomial_diff_coeffs() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientRing method)
monomial_diff_coeffs_matrices() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientRing method)
monsky_washnitzer() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientRing method)
monsky_washnitzer_gens() (sage.schemes.hyperelliptic_curves.hyperelliptic_generic.HyperellipticCurve_generic method)
MonskyWashnitzerDifferential (class in sage.schemes.hyperelliptic_curves.monsky_washnitzer)
MonskyWashnitzerDifferentialRing (class in sage.schemes.hyperelliptic_curves.monsky_washnitzer)
MonskyWashnitzerDifferentialRing_class (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer)
mult_by_n() (sage.schemes.elliptic_curves.formal_group.EllipticCurveFormalGroup method)
multiplication_by_m() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
multiplication_by_m_isogeny() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
mwrank() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
mwrank_curve() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
N
n() (sage.schemes.elliptic_curves.ell_curve_isogeny.EllipticCurveIsogeny method)
(sage.schemes.elliptic_curves.heegner.KolyvaginCohomologyClass method)
nearby_rational_poly() (in module sage.schemes.elliptic_curves.heegner)
newform() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
newton_sqrt() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method)
ngens() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
non_archimedean_local_height() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field method)
non_minimal_primes() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
non_surjective() (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method)
(sage.schemes.elliptic_curves.gal_reps_number_field.GaloisRepresentation method)
nonneg_region() (in module sage.schemes.elliptic_curves.height)
normalise_periods() (in module sage.schemes.elliptic_curves.period_lattice)
normalised_basis() (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method)
Np() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
numerical_approx() (sage.schemes.elliptic_curves.heegner.HeegnerPointOnEllipticCurve method)
(sage.schemes.elliptic_curves.heegner.KolyvaginPoint method)
O
odd_degree_model() (sage.schemes.hyperelliptic_curves.hyperelliptic_generic.HyperellipticCurve_generic method)
omega() (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method)
one() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialCubicQuotientRing method)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientRing method)
optimal_curve() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
optimal_embeddings() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method)
order() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method)
(sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_field method)
(sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_finite_field method)
(sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field method)
(sage.schemes.elliptic_curves.heegner.GaloisAutomorphismComplexConjugation method)
(sage.schemes.elliptic_curves.heegner.GaloisAutomorphismQuadraticForm method)
order_of_vanishing() (sage.schemes.elliptic_curves.padic_lseries.pAdicLseries method)
ordinary_primes() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
original_curve() (sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method)
P
p1_element() (sage.schemes.elliptic_curves.heegner.GaloisAutomorphismQuadraticForm method)
p_primary_bound() (sage.schemes.elliptic_curves.sha_tate.Sha method)
p_primary_order() (sage.schemes.elliptic_curves.sha_tate.Sha method)
p_projections() (in module sage.schemes.elliptic_curves.saturation)
p_rank() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method)
p_saturation() (sage.schemes.elliptic_curves.saturation.EllipticCurveSaturator method)
P_to_S() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method)
padic_E2() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
padic_elliptic_logarithm() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field method)
padic_height() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
(sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method)
padic_height_pairing_matrix() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
padic_height_via_multiply() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
padic_lseries() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
padic_regulator() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
(sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method)
padic_sigma() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
padic_sigma_truncated() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
pAdicLseries (class in sage.schemes.elliptic_curves.padic_lseries)
pAdicLseriesOrdinary (class in sage.schemes.elliptic_curves.padic_lseries)
pAdicLseriesSupersingular (class in sage.schemes.elliptic_curves.padic_lseries)
parameter() (sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method)
parametrisation_onto_original_curve() (sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method)
parametrisation_onto_tate_curve() (sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method)
parent() (sage.schemes.elliptic_curves.heegner.GaloisAutomorphism method)
pari_curve() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
pari_mincurve() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
period_lattice() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
PeriodicRegion (class in sage.schemes.elliptic_curves.period_lattice_region)
PeriodLattice (class in sage.schemes.elliptic_curves.period_lattice)
PeriodLattice_ell (class in sage.schemes.elliptic_curves.period_lattice)
plot() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method)
(sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
(sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_field method)
(sage.schemes.elliptic_curves.heegner.HeegnerPointOnX0N method)
(sage.schemes.elliptic_curves.heegner.HeegnerPoints_level_disc_cond method)
(sage.schemes.elliptic_curves.heegner.KolyvaginPoint method)
(sage.schemes.elliptic_curves.period_lattice_region.PeriodicRegion method)
point() (sage.schemes.hyperelliptic_curves.jacobian_generic.HyperellipticJacobian_generic method)
point_exact() (sage.schemes.elliptic_curves.heegner.HeegnerPointOnEllipticCurve method)
(sage.schemes.elliptic_curves.heegner.KolyvaginPoint method)
point_search() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
points() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method)
(sage.schemes.elliptic_curves.ell_torsion.EllipticCurveTorsionSubgroup method)
(sage.schemes.elliptic_curves.heegner.HeegnerPoints_level_disc_cond method)
(sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method)
pollack_stevens_modular_symbol() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
poly_ring() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialCubicQuotientRing method)
possible_isogeny_degrees() (in module sage.schemes.elliptic_curves.isogeny_class)
post_rescaling() (sage.schemes.elliptic_curves.weierstrass_transform.WeierstrassTransformation method)
power_series() (sage.schemes.elliptic_curves.modular_parametrization.ModularParameterization method)
(sage.schemes.elliptic_curves.padic_lseries.pAdicLseriesOrdinary method)
(sage.schemes.elliptic_curves.padic_lseries.pAdicLseriesSupersingular method)
prime() (sage.schemes.elliptic_curves.ell_local_data.EllipticCurveLocalData method)
(sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method)
(sage.schemes.elliptic_curves.padic_lseries.pAdicLseries method)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientRing method)
projective_point() (in module sage.schemes.elliptic_curves.constructor)
prove_BSD() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
Psi() (in module sage.schemes.elliptic_curves.isogeny_small_degree)
psi() (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method)
Psi2() (in module sage.schemes.elliptic_curves.isogeny_small_degree)
Q
Q() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferentialRing method)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientRing method)
q_eigenform() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
q_expansion() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
qf_matrix() (sage.schemes.elliptic_curves.isogeny_class.IsogenyClass_EC method)
quadratic_field() (sage.schemes.elliptic_curves.heegner.HeegnerPoint method)
(sage.schemes.elliptic_curves.heegner.HeegnerPoints_level_disc method)
(sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method)
(sage.schemes.elliptic_curves.heegner.RingClassField method)
quadratic_form() (sage.schemes.elliptic_curves.heegner.GaloisAutomorphismQuadraticForm method)
(sage.schemes.elliptic_curves.heegner.HeegnerPointOnEllipticCurve method)
(sage.schemes.elliptic_curves.heegner.HeegnerPointOnX0N method)
quadratic_order() (in module sage.schemes.elliptic_curves.heegner)
(sage.schemes.elliptic_curves.heegner.HeegnerPoint method)
quadratic_twist() (sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
quartic_twist() (sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method)
quaternion_algebra() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method)
R
ramified_primes() (sage.schemes.elliptic_curves.heegner.RingClassField method)
random_element() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method)
random_point() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method)
rank() (sage.schemes.elliptic_curves.ec_database.EllipticCurves method)
(sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
rank_bound() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
rank_bounds() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
rat_term_CIF() (in module sage.schemes.elliptic_curves.height)
rational_kolyvagin_divisor() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method)
rational_maps() (sage.schemes.elliptic_curves.ell_curve_isogeny.EllipticCurveIsogeny method)
(sage.schemes.elliptic_curves.hom.EllipticCurveHom method)
(sage.schemes.elliptic_curves.hom_composite.EllipticCurveHom_composite method)
(sage.schemes.elliptic_curves.weierstrass_morphism.WeierstrassIsomorphism method)
rational_points() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method)
(sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.hyperelliptic_curves.hyperelliptic_generic.HyperellipticCurve_generic method)
real_components() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
real_intersection_is_empty() (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method)
real_period() (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method)
reduce() (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method)
reduce_all() (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer)
reduce_fast() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method)
reduce_mod() (sage.schemes.elliptic_curves.heegner.HeegnerPoints_level method)
reduce_mod_q() (in module sage.schemes.elliptic_curves.saturation)
reduce_neg_y() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method)
reduce_neg_y_fast() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method)
reduce_neg_y_faster() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method)
reduce_negative() (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer)
reduce_pos_y() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method)
reduce_pos_y_fast() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method)
reduce_positive() (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer)
reduce_tau() (in module sage.schemes.elliptic_curves.period_lattice)
reduce_zero() (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer)
reduced_quadratic_form() (sage.schemes.elliptic_curves.heegner.HeegnerPointOnX0N method)
reducible_primes() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method)
(sage.schemes.elliptic_curves.gal_reps_number_field.GaloisRepresentation method)
reducible_primes_Billerey() (in module sage.schemes.elliptic_curves.gal_reps_number_field)
reducible_primes_naive() (in module sage.schemes.elliptic_curves.gal_reps_number_field)
reduction() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
ReductionData (class in sage.interfaces.genus2reduction)
refine() (sage.schemes.elliptic_curves.period_lattice_region.PeriodicRegion method)
regulator() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
regulator_of_points() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
reorder() (sage.schemes.elliptic_curves.isogeny_class.IsogenyClass_EC method)
residue_disc() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method)
right_ideals() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method)
ring_class_field() (sage.schemes.elliptic_curves.heegner.HeegnerPoint method)
(sage.schemes.elliptic_curves.heegner.HeegnerPoints_level_disc_cond method)
RingClassField (class in sage.schemes.elliptic_curves.heegner)
root_number() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
rst_transform() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
S
S() (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method)
S_integral_points() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
S_to_Q() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method)
sage.interfaces.genus2reduction
module
sage.schemes.elliptic_curves.cm
module
sage.schemes.elliptic_curves.constructor
module
sage.schemes.elliptic_curves.descent_two_isogeny
module
sage.schemes.elliptic_curves.ec_database
module
sage.schemes.elliptic_curves.ell_curve_isogeny
module
sage.schemes.elliptic_curves.ell_egros
module
sage.schemes.elliptic_curves.ell_field
module
sage.schemes.elliptic_curves.ell_finite_field
module
sage.schemes.elliptic_curves.ell_generic
module
sage.schemes.elliptic_curves.ell_local_data
module
sage.schemes.elliptic_curves.ell_modular_symbols
module
sage.schemes.elliptic_curves.ell_number_field
module
sage.schemes.elliptic_curves.ell_padic_field
module
sage.schemes.elliptic_curves.ell_point
module
sage.schemes.elliptic_curves.ell_rational_field
module
sage.schemes.elliptic_curves.ell_tate_curve
module
sage.schemes.elliptic_curves.ell_torsion
module
sage.schemes.elliptic_curves.ell_wp
module
sage.schemes.elliptic_curves.formal_group
module
sage.schemes.elliptic_curves.gal_reps
module
sage.schemes.elliptic_curves.gal_reps_number_field
module
sage.schemes.elliptic_curves.gp_simon
module
sage.schemes.elliptic_curves.heegner
module
sage.schemes.elliptic_curves.height
module
sage.schemes.elliptic_curves.hom
module
sage.schemes.elliptic_curves.hom_composite
module
sage.schemes.elliptic_curves.isogeny_class
module
sage.schemes.elliptic_curves.isogeny_small_degree
module
sage.schemes.elliptic_curves.jacobian
module
sage.schemes.elliptic_curves.kodaira_symbol
module
sage.schemes.elliptic_curves.lseries_ell
module
sage.schemes.elliptic_curves.mod5family
module
sage.schemes.elliptic_curves.mod_sym_num
module
sage.schemes.elliptic_curves.modular_parametrization
module
sage.schemes.elliptic_curves.padic_lseries
module
sage.schemes.elliptic_curves.period_lattice
module
sage.schemes.elliptic_curves.period_lattice_region
module
sage.schemes.elliptic_curves.Qcurves
module
sage.schemes.elliptic_curves.saturation
module
sage.schemes.elliptic_curves.sha_tate
module
sage.schemes.elliptic_curves.weierstrass_morphism
module
sage.schemes.elliptic_curves.weierstrass_transform
module
sage.schemes.hyperelliptic_curves.constructor
module
sage.schemes.hyperelliptic_curves.hypellfrob
module
sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field
module
sage.schemes.hyperelliptic_curves.hyperelliptic_g2
module
sage.schemes.hyperelliptic_curves.hyperelliptic_generic
module
sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field
module
sage.schemes.hyperelliptic_curves.hyperelliptic_rational_field
module
sage.schemes.hyperelliptic_curves.invariants
module
sage.schemes.hyperelliptic_curves.jacobian_g2
module
sage.schemes.hyperelliptic_curves.jacobian_generic
module
sage.schemes.hyperelliptic_curves.jacobian_homset
module
sage.schemes.hyperelliptic_curves.jacobian_morphism
module
sage.schemes.hyperelliptic_curves.kummer_surface
module
sage.schemes.hyperelliptic_curves.mestre
module
sage.schemes.hyperelliptic_curves.monsky_washnitzer
module
satisfies_heegner_hypothesis() (in module sage.schemes.elliptic_curves.heegner)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
(sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method)
satisfies_kolyvagin_hypothesis() (sage.schemes.elliptic_curves.heegner.HeegnerPointOnEllipticCurve method)
(sage.schemes.elliptic_curves.heegner.HeegnerPoints_level_disc_cond method)
(sage.schemes.elliptic_curves.heegner.KolyvaginPoint method)
satisfies_weak_heegner_hypothesis() (in module sage.schemes.elliptic_curves.heegner)
saturation() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
scalar_multiply() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialCubicQuotientRingElement method)
scale_curve() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
scheme() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_field method)
(sage.schemes.hyperelliptic_curves.jacobian_morphism.JacobianMorphism_divisor_class_field method)
selmer_rank() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
series() (sage.schemes.elliptic_curves.padic_lseries.pAdicLseriesOrdinary method)
(sage.schemes.elliptic_curves.padic_lseries.pAdicLseriesSupersingular method)
set_order() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method)
(sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_field method)
set_post_isomorphism() (sage.schemes.elliptic_curves.ell_curve_isogeny.EllipticCurveIsogeny method)
set_pre_isomorphism() (sage.schemes.elliptic_curves.ell_curve_isogeny.EllipticCurveIsogeny method)
sextic_twist() (sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method)
Sha (class in sage.schemes.elliptic_curves.sha_tate)
sha() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
shift() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialCubicQuotientRingElement method)
short_weierstrass_model() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
sigma() (sage.schemes.elliptic_curves.formal_group.EllipticCurveFormalGroup method)
(sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method)
sign() (sage.schemes.elliptic_curves.ell_modular_symbols.ModularSymbol method)
silverman_height_bound() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
simon_two_descent() (in module sage.schemes.elliptic_curves.gp_simon)
(sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
simplest_rational_poly() (in module sage.schemes.elliptic_curves.heegner)
Sn() (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method)
solve_linear_differential_system() (in module sage.schemes.elliptic_curves.ell_wp)
SpecialCubicQuotientRing (class in sage.schemes.hyperelliptic_curves.monsky_washnitzer)
SpecialCubicQuotientRingElement (class in sage.schemes.hyperelliptic_curves.monsky_washnitzer)
SpecialHyperellipticQuotientElement (class in sage.schemes.hyperelliptic_curves.monsky_washnitzer)
SpecialHyperellipticQuotientRing (class in sage.schemes.hyperelliptic_curves.monsky_washnitzer)
SpecialHyperellipticQuotientRing_class (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer)
split_kernel_polynomial() (in module sage.schemes.elliptic_curves.ell_curve_isogeny)
square() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialCubicQuotientRingElement method)
Step4Test() (in module sage.schemes.elliptic_curves.Qcurves)
supersingular_j_polynomial() (in module sage.schemes.elliptic_curves.ell_finite_field)
supersingular_primes() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
switch_sign() (sage.schemes.elliptic_curves.ell_curve_isogeny.EllipticCurveIsogeny method)
sympow() (sage.schemes.elliptic_curves.lseries_ell.Lseries_ell method)
sympow_derivs() (sage.schemes.elliptic_curves.lseries_ell.Lseries_ell method)
T
tamagawa_exponent() (sage.schemes.elliptic_curves.ell_local_data.EllipticCurveLocalData method)
(sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
tamagawa_number() (sage.schemes.elliptic_curves.ell_local_data.EllipticCurveLocalData method)
(sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
tamagawa_number_old() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
tamagawa_numbers() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
tamagawa_product() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
tamagawa_product_bsd() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
tangent_at_smooth_point() (in module sage.schemes.elliptic_curves.constructor)
tate_curve() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
tate_pairing() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_field method)
TateCurve (class in sage.schemes.elliptic_curves.ell_tate_curve)
tau() (sage.schemes.elliptic_curves.heegner.HeegnerPointOnEllipticCurve method)
(sage.schemes.elliptic_curves.heegner.HeegnerPointOnX0N method)
(sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method)
(sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method)
taylor_series() (sage.schemes.elliptic_curves.lseries_ell.Lseries_ell method)
teichmuller() (sage.schemes.elliptic_curves.padic_lseries.pAdicLseries method)
(sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method)
test_els() (in module sage.schemes.elliptic_curves.descent_two_isogeny)
test_mu() (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method)
test_padic_square() (in module sage.schemes.elliptic_curves.descent_two_isogeny)
test_qpls() (in module sage.schemes.elliptic_curves.descent_two_isogeny)
test_valuation() (in module sage.schemes.elliptic_curves.descent_two_isogeny)
three_selmer_rank() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
tiny_integrals() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method)
tiny_integrals_on_basis() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method)
torsion_bound() (in module sage.schemes.elliptic_curves.ell_torsion)
torsion_order() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
torsion_points() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
torsion_polynomial() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
torsion_subgroup() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method)
(sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
trace_of_frobenius() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method)
trace_to_real_numerical() (sage.schemes.elliptic_curves.heegner.KolyvaginPoint method)
transportable_symbol() (sage.schemes.elliptic_curves.mod_sym_num.ModularSymbolNumerical method)
transpose_list() (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer)
truncate_neg() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientElement method)
tuple() (sage.schemes.elliptic_curves.weierstrass_morphism.baseWI method)
twist_values() (sage.schemes.elliptic_curves.lseries_ell.Lseries_ell method)
twist_zeros() (sage.schemes.elliptic_curves.lseries_ell.Lseries_ell method)
two_descent() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
two_descent_by_two_isogeny() (in module sage.schemes.elliptic_curves.descent_two_isogeny)
two_descent_by_two_isogeny_work() (in module sage.schemes.elliptic_curves.descent_two_isogeny)
two_descent_simon() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method)
two_division_polynomial() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)
two_selmer_bound() (sage.schemes.elliptic_curves.sha_tate.Sha method)
two_torsion_part() (in module sage.schemes.elliptic_curves.ell_curve_isogeny)
two_torsion_rank() (sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method)
U
ubs() (in module sage.schemes.hyperelliptic_curves.invariants)
Ueberschiebung() (in module sage.schemes.hyperelliptic_curves.invariants)
unfill_isogeny_matrix() (in module sage.schemes.elliptic_curves.ell_curve_isogeny)
union() (sage.schemes.elliptic_curves.height.UnionOfIntervals class method)
UnionOfIntervals (class in sage.schemes.elliptic_curves.height)
V
value_ring() (sage.schemes.hyperelliptic_curves.jacobian_homset.JacobianHomset_divisor_classes method)
values_along_line() (sage.schemes.elliptic_curves.lseries_ell.Lseries_ell method)
verify() (sage.schemes.elliptic_curves.period_lattice_region.PeriodicRegion method)
W
w() (sage.schemes.elliptic_curves.formal_group.EllipticCurveFormalGroup method)
w1 (sage.schemes.elliptic_curves.period_lattice_region.PeriodicRegion attribute)
w2 (sage.schemes.elliptic_curves.period_lattice_region.PeriodicRegion attribute)
weierstrass_p() (in module sage.schemes.elliptic_curves.ell_wp)
(sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method)
weierstrass_points() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method)
WeierstrassIsomorphism (class in sage.schemes.elliptic_curves.weierstrass_morphism)
WeierstrassTransformation (class in sage.schemes.elliptic_curves.weierstrass_transform)
WeierstrassTransformationWithInverse() (in module sage.schemes.elliptic_curves.weierstrass_transform)
WeierstrassTransformationWithInverse_class (class in sage.schemes.elliptic_curves.weierstrass_transform)
weil_pairing() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_field method)
wp_c() (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method)
wp_intervals() (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method)
wp_on_grid() (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method)
X
x() (sage.schemes.elliptic_curves.formal_group.EllipticCurveFormalGroup method)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientRing method)
x_poly_exact() (sage.schemes.elliptic_curves.heegner.HeegnerPointOnEllipticCurve method)
x_rational_map() (sage.schemes.elliptic_curves.ell_curve_isogeny.EllipticCurveIsogeny method)
(sage.schemes.elliptic_curves.hom.EllipticCurveHom method)
(sage.schemes.elliptic_curves.hom_composite.EllipticCurveHom_composite method)
(sage.schemes.elliptic_curves.weierstrass_morphism.WeierstrassIsomorphism method)
x_to_p() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferentialRing method)
xy() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_field method)
Y
y() (sage.schemes.elliptic_curves.formal_group.EllipticCurveFormalGroup method)
(sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientRing method)
Z
zero() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientRing method)
zero_sums() (sage.schemes.elliptic_curves.lseries_ell.Lseries_ell method)
zeros() (sage.schemes.elliptic_curves.lseries_ell.Lseries_ell method)
zeros_in_interval() (sage.schemes.elliptic_curves.lseries_ell.Lseries_ell method)
zeta_function() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method)
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