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Sage 9.6 Documentation
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Modular Forms
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Index
A
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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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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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V
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W
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Z
A
abelian_variety() (sage.modular.modform.element.Newform method)
ambient_space() (sage.modular.modform.ambient.ModularFormsAmbient method)
ap() (sage.modular.modform.numerical.NumericalEigenforms method)
atkin_lehner_action() (sage.modular.modform.element.Newform method)
atkin_lehner_eigenvalue() (sage.modular.modform.element.ModularForm_abstract method)
(sage.modular.modform.element.ModularFormElement method)
(sage.modular.modform.element.ModularFormElement_elliptic_curve method)
(sage.modular.modform.element.Newform method)
B
basis() (sage.modular.modform.space.ModularFormsSpace method)
C
canonical_parameters() (in module sage.modular.modform.constructor)
change_ring() (sage.modular.modform.ambient.ModularFormsAmbient method)
(sage.modular.modform.ambient_eps.ModularFormsAmbient_eps method)
(sage.modular.modform.ambient_R.ModularFormsAmbient_R method)
(sage.modular.modform.cuspidal_submodule.CuspidalSubmodule method)
(sage.modular.modform.eisenstein_submodule.EisensteinSubmodule_params method)
character() (sage.modular.modform.element.EisensteinSeries method)
(sage.modular.modform.element.ModularForm_abstract method)
(sage.modular.modform.element.Newform method)
(sage.modular.modform.space.ModularFormsSpace method)
chi() (sage.modular.modform.element.EisensteinSeries method)
cm_discriminant() (sage.modular.modform.element.ModularForm_abstract method)
coefficient() (sage.modular.modform.element.ModularForm_abstract method)
(sage.modular.modform.element.Newform method)
coefficients() (sage.modular.modform.element.ModularForm_abstract method)
compute_eisenstein_params() (in module sage.modular.modform.eis_series)
contains_each() (in module sage.modular.modform.space)
CuspForms() (in module sage.modular.modform.constructor)
cuspidal_ideal_generators() (sage.modular.modform.ring.ModularFormsRing method)
cuspidal_submodule() (sage.modular.modform.ambient.ModularFormsAmbient method)
(sage.modular.modform.ambient_eps.ModularFormsAmbient_eps method)
(sage.modular.modform.ambient_g0.ModularFormsAmbient_g0_Q method)
(sage.modular.modform.ambient_g1.ModularFormsAmbient_g1_Q method)
(sage.modular.modform.ambient_g1.ModularFormsAmbient_gH_Q method)
(sage.modular.modform.ambient_R.ModularFormsAmbient_R method)
(sage.modular.modform.space.ModularFormsSpace method)
cuspidal_submodule_q_expansion_basis() (sage.modular.modform.ring.ModularFormsRing method)
cuspidal_subspace() (sage.modular.modform.space.ModularFormsSpace method)
CuspidalSubmodule (class in sage.modular.modform.cuspidal_submodule)
CuspidalSubmodule_eps (class in sage.modular.modform.cuspidal_submodule)
CuspidalSubmodule_g0_Q (class in sage.modular.modform.cuspidal_submodule)
CuspidalSubmodule_g1_Q (class in sage.modular.modform.cuspidal_submodule)
CuspidalSubmodule_gH_Q (class in sage.modular.modform.cuspidal_submodule)
CuspidalSubmodule_level1_Q (class in sage.modular.modform.cuspidal_submodule)
CuspidalSubmodule_modsym_qexp (class in sage.modular.modform.cuspidal_submodule)
CuspidalSubmodule_R (class in sage.modular.modform.cuspidal_submodule)
CuspidalSubmodule_wt1_eps (class in sage.modular.modform.cuspidal_submodule)
CuspidalSubmodule_wt1_gH (class in sage.modular.modform.cuspidal_submodule)
cyclotomic_restriction() (in module sage.modular.modform.eisenstein_submodule)
cyclotomic_restriction_tower() (in module sage.modular.modform.eisenstein_submodule)
D
decomposition() (sage.modular.modform.space.ModularFormsSpace method)
delta_lseries() (in module sage.modular.modform.element)
delta_qexp() (in module sage.modular.modform.vm_basis)
derivative() (sage.modular.modform.element.GradedModularFormElement method)
dimension() (sage.modular.modform.ambient.ModularFormsAmbient method)
E
echelon_basis() (sage.modular.modform.space.ModularFormsSpace method)
echelon_form() (sage.modular.modform.space.ModularFormsSpace method)
eigenvalues() (sage.modular.modform.numerical.NumericalEigenforms method)
eisenstein_params() (sage.modular.modform.ambient.ModularFormsAmbient method)
eisenstein_series() (sage.modular.modform.ambient.ModularFormsAmbient method)
(sage.modular.modform.eisenstein_submodule.EisensteinSubmodule_params method)
(sage.modular.modform.space.ModularFormsSpace method)
eisenstein_series_lseries() (in module sage.modular.modform.eis_series)
eisenstein_series_poly() (in module sage.modular.modform.eis_series_cython)
eisenstein_series_qexp() (in module sage.modular.modform.eis_series)
eisenstein_submodule() (sage.modular.modform.ambient.ModularFormsAmbient method)
(sage.modular.modform.ambient_eps.ModularFormsAmbient_eps method)
(sage.modular.modform.ambient_g0.ModularFormsAmbient_g0_Q method)
(sage.modular.modform.ambient_g1.ModularFormsAmbient_g1_Q method)
(sage.modular.modform.ambient_g1.ModularFormsAmbient_gH_Q method)
(sage.modular.modform.eisenstein_submodule.EisensteinSubmodule method)
(sage.modular.modform.space.ModularFormsSpace method)
eisenstein_subspace() (sage.modular.modform.space.ModularFormsSpace method)
EisensteinForms() (in module sage.modular.modform.constructor)
EisensteinSeries (class in sage.modular.modform.element)
EisensteinSubmodule (class in sage.modular.modform.eisenstein_submodule)
EisensteinSubmodule_eps (class in sage.modular.modform.eisenstein_submodule)
EisensteinSubmodule_g0_Q (class in sage.modular.modform.eisenstein_submodule)
EisensteinSubmodule_g1_Q (class in sage.modular.modform.eisenstein_submodule)
EisensteinSubmodule_gH_Q (class in sage.modular.modform.eisenstein_submodule)
EisensteinSubmodule_params (class in sage.modular.modform.eisenstein_submodule)
Ek_ZZ() (in module sage.modular.modform.eis_series_cython)
Element (sage.modular.modform.ring.ModularFormsRing attribute)
(sage.modular.modform.space.ModularFormsSpace attribute)
element() (sage.modular.modform.element.Newform method)
elliptic_curve() (sage.modular.modform.element.ModularFormElement_elliptic_curve method)
embedded_submodule() (sage.modular.modform.space.ModularFormsSpace method)
F
find_in_space() (sage.modular.modform.space.ModularFormsSpace method)
free_module() (sage.modular.modform.ambient.ModularFormsAmbient method)
from_polynomial() (sage.modular.modform.ring.ModularFormsRing method)
G
gen() (sage.modular.modform.ring.ModularFormsRing method)
(sage.modular.modform.space.ModularFormsSpace method)
gen_forms() (sage.modular.modform.ring.ModularFormsRing method)
generators() (sage.modular.modform.ring.ModularFormsRing method)
gens() (sage.modular.modform.space.ModularFormsSpace method)
GradedModularFormElement (class in sage.modular.modform.element)
group() (sage.modular.modform.element.GradedModularFormElement method)
(sage.modular.modform.element.ModularForm_abstract method)
(sage.modular.modform.ring.ModularFormsRing method)
(sage.modular.modform.space.ModularFormsSpace method)
H
half_integral_weight_modform_basis() (in module sage.modular.modform.half_integral)
has_character() (sage.modular.modform.space.ModularFormsSpace method)
has_cm() (sage.modular.modform.element.ModularForm_abstract method)
hecke_eigenvalue_field() (sage.modular.modform.element.Newform method)
hecke_module_of_level() (sage.modular.modform.ambient.ModularFormsAmbient method)
(sage.modular.modform.ambient_eps.ModularFormsAmbient_eps method)
hecke_operator_on_basis() (in module sage.modular.modform.hecke_operator_on_qexp)
hecke_operator_on_qexp() (in module sage.modular.modform.hecke_operator_on_qexp)
hecke_polynomial() (sage.modular.modform.ambient.ModularFormsAmbient method)
(sage.modular.modform.cuspidal_submodule.CuspidalSubmodule_modsym_qexp method)
homogeneous_component() (sage.modular.modform.element.GradedModularFormElement method)
I
integral_basis() (sage.modular.modform.space.ModularFormsSpace method)
is_ambient() (sage.modular.modform.ambient.ModularFormsAmbient method)
(sage.modular.modform.space.ModularFormsSpace method)
is_cuspidal() (sage.modular.modform.cuspidal_submodule.CuspidalSubmodule method)
(sage.modular.modform.element.Newform method)
(sage.modular.modform.space.ModularFormsSpace method)
is_eisenstein() (sage.modular.modform.space.ModularFormsSpace method)
is_homogeneous() (sage.modular.modform.element.GradedModularFormElement method)
(sage.modular.modform.element.ModularForm_abstract method)
is_modular_form() (sage.modular.modform.element.GradedModularFormElement method)
(sage.modular.modform.element.ModularForm_abstract method)
is_ModularFormElement() (in module sage.modular.modform.element)
is_ModularFormsSpace() (in module sage.modular.modform.space)
is_one() (sage.modular.modform.element.GradedModularFormElement method)
is_zero() (sage.modular.modform.element.GradedModularFormElement method)
J
j_invariant_qexp() (in module sage.modular.modform.j_invariant)
L
L() (sage.modular.modform.element.EisensteinSeries method)
level() (sage.modular.modform.element.ModularForm_abstract method)
(sage.modular.modform.numerical.NumericalEigenforms method)
(sage.modular.modform.space.ModularFormsSpace method)
local_component() (sage.modular.modform.element.Newform method)
lseries() (sage.modular.modform.element.ModularForm_abstract method)
M
M() (sage.modular.modform.element.EisensteinSeries method)
minimal_twist() (sage.modular.modform.element.Newform method)
modsym_eigenspace() (sage.modular.modform.element.Newform method)
modular_forms_of_weight() (sage.modular.modform.ring.ModularFormsRing method)
modular_symbols() (sage.modular.modform.ambient.ModularFormsAmbient method)
(sage.modular.modform.ambient_eps.ModularFormsAmbient_eps method)
(sage.modular.modform.ambient_R.ModularFormsAmbient_R method)
(sage.modular.modform.cuspidal_submodule.CuspidalSubmodule method)
(sage.modular.modform.eisenstein_submodule.EisensteinSubmodule method)
(sage.modular.modform.element.Newform method)
(sage.modular.modform.numerical.NumericalEigenforms method)
(sage.modular.modform.space.ModularFormsSpace method)
ModularForm_abstract (class in sage.modular.modform.element)
ModularFormElement (class in sage.modular.modform.element)
ModularFormElement_elliptic_curve (class in sage.modular.modform.element)
ModularForms() (in module sage.modular.modform.constructor)
ModularForms_clear_cache() (in module sage.modular.modform.constructor)
ModularFormsAmbient (class in sage.modular.modform.ambient)
ModularFormsAmbient_eps (class in sage.modular.modform.ambient_eps)
ModularFormsAmbient_g0_Q (class in sage.modular.modform.ambient_g0)
ModularFormsAmbient_g1_Q (class in sage.modular.modform.ambient_g1)
ModularFormsAmbient_gH_Q (class in sage.modular.modform.ambient_g1)
ModularFormsAmbient_R (class in sage.modular.modform.ambient_R)
ModularFormsRing (class in sage.modular.modform.ring)
ModularFormsSpace (class in sage.modular.modform.space)
ModularFormsSubmodule (class in sage.modular.modform.submodule)
ModularFormsSubmoduleWithBasis (class in sage.modular.modform.submodule)
module
sage.modular.modform.ambient
sage.modular.modform.ambient_eps
sage.modular.modform.ambient_g0
sage.modular.modform.ambient_g1
sage.modular.modform.ambient_R
sage.modular.modform.constructor
sage.modular.modform.cuspidal_submodule
sage.modular.modform.eis_series
sage.modular.modform.eis_series_cython
sage.modular.modform.eisenstein_submodule
sage.modular.modform.element
sage.modular.modform.half_integral
sage.modular.modform.hecke_operator_on_qexp
sage.modular.modform.j_invariant
sage.modular.modform.notes
sage.modular.modform.numerical
sage.modular.modform.ring
sage.modular.modform.space
sage.modular.modform.submodule
sage.modular.modform.theta
sage.modular.modform.vm_basis
module() (sage.modular.modform.ambient.ModularFormsAmbient method)
N
new_eisenstein_series() (sage.modular.modform.eisenstein_submodule.EisensteinSubmodule_params method)
new_level() (sage.modular.modform.element.EisensteinSeries method)
new_submodule() (sage.modular.modform.ambient.ModularFormsAmbient method)
(sage.modular.modform.cuspidal_submodule.CuspidalSubmodule_modsym_qexp method)
(sage.modular.modform.eisenstein_submodule.EisensteinSubmodule_params method)
(sage.modular.modform.space.ModularFormsSpace method)
new_subspace() (sage.modular.modform.space.ModularFormsSpace method)
Newform (class in sage.modular.modform.element)
Newform() (in module sage.modular.modform.constructor)
Newforms() (in module sage.modular.modform.constructor)
newforms() (sage.modular.modform.space.ModularFormsSpace method)
ngens() (sage.modular.modform.ring.ModularFormsRing method)
number() (sage.modular.modform.element.Newform method)
NumericalEigenforms (class in sage.modular.modform.numerical)
O
one() (sage.modular.modform.ring.ModularFormsRing method)
P
padded_list() (sage.modular.modform.element.ModularForm_abstract method)
parameters() (sage.modular.modform.eisenstein_submodule.EisensteinSubmodule_params method)
(sage.modular.modform.element.EisensteinSeries method)
parse_label() (in module sage.modular.modform.constructor)
period() (sage.modular.modform.element.ModularForm_abstract method)
petersson_norm() (sage.modular.modform.element.ModularForm_abstract method)
polynomial_ring() (sage.modular.modform.ring.ModularFormsRing method)
prec() (sage.modular.modform.ambient.ModularFormsAmbient method)
(sage.modular.modform.element.ModularForm_abstract method)
(sage.modular.modform.space.ModularFormsSpace method)
psi() (sage.modular.modform.element.EisensteinSeries method)
Q
q_echelon_basis() (sage.modular.modform.space.ModularFormsSpace method)
q_expansion() (sage.modular.modform.element.GradedModularFormElement method)
(sage.modular.modform.element.ModularForm_abstract method)
q_expansion_basis() (sage.modular.modform.ring.ModularFormsRing method)
(sage.modular.modform.space.ModularFormsSpace method)
q_integral_basis() (sage.modular.modform.space.ModularFormsSpace method)
qexp() (sage.modular.modform.element.GradedModularFormElement method)
(sage.modular.modform.element.ModularForm_abstract method)
R
rank() (sage.modular.modform.ambient.ModularFormsAmbient method)
S
sage.modular.modform.ambient
module
sage.modular.modform.ambient_eps
module
sage.modular.modform.ambient_g0
module
sage.modular.modform.ambient_g1
module
sage.modular.modform.ambient_R
module
sage.modular.modform.constructor
module
sage.modular.modform.cuspidal_submodule
module
sage.modular.modform.eis_series
module
sage.modular.modform.eis_series_cython
module
sage.modular.modform.eisenstein_submodule
module
sage.modular.modform.element
module
sage.modular.modform.half_integral
module
sage.modular.modform.hecke_operator_on_qexp
module
sage.modular.modform.j_invariant
module
sage.modular.modform.notes
module
sage.modular.modform.numerical
module
sage.modular.modform.ring
module
sage.modular.modform.space
module
sage.modular.modform.submodule
module
sage.modular.modform.theta
module
sage.modular.modform.vm_basis
module
serre_derivative() (sage.modular.modform.element.GradedModularFormElement method)
(sage.modular.modform.element.ModularForm_abstract method)
set_precision() (sage.modular.modform.ambient.ModularFormsAmbient method)
(sage.modular.modform.space.ModularFormsSpace method)
some_elements() (sage.modular.modform.ring.ModularFormsRing method)
span() (sage.modular.modform.space.ModularFormsSpace method)
span_of_basis() (sage.modular.modform.space.ModularFormsSpace method)
sturm_bound() (sage.modular.modform.space.ModularFormsSpace method)
support() (in module sage.modular.modform.numerical)
symsquare_lseries() (sage.modular.modform.element.ModularForm_abstract method)
systems_of_abs() (sage.modular.modform.numerical.NumericalEigenforms method)
systems_of_eigenvalues() (sage.modular.modform.numerical.NumericalEigenforms method)
T
t() (sage.modular.modform.element.EisensteinSeries method)
theta2_qexp() (in module sage.modular.modform.theta)
theta_qexp() (in module sage.modular.modform.theta)
to_polynomial() (sage.modular.modform.element.GradedModularFormElement method)
twist() (sage.modular.modform.element.ModularFormElement method)
(sage.modular.modform.element.Newform method)
V
valuation() (sage.modular.modform.element.ModularForm_abstract method)
victor_miller_basis() (in module sage.modular.modform.vm_basis)
W
weight() (sage.modular.modform.element.GradedModularFormElement method)
(sage.modular.modform.element.ModularForm_abstract method)
(sage.modular.modform.numerical.NumericalEigenforms method)
(sage.modular.modform.space.ModularFormsSpace method)
weights_list() (sage.modular.modform.element.GradedModularFormElement method)
Z
zero() (sage.modular.modform.ring.ModularFormsRing method)
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