Index

A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | V | Z

A

abelian_variety() (sage.modular.abvar.finite_subgroup.FiniteSubgroup method)
(sage.modular.abvar.homology.Homology_abvar method)
(sage.modular.abvar.homspace.EndomorphismSubring method)
(sage.modular.abvar.lseries.Lseries method)
(sage.modular.abvar.torsion_subgroup.QQbarTorsionSubgroup method)
AbelianVariety() (in module sage.modular.abvar.constructor)
action_on_homology() (sage.modular.abvar.morphism.HeckeOperator method)
ambient_hecke_module() (sage.modular.abvar.homology.Homology_abvar method)
(sage.modular.abvar.homology.Homology_submodule method)
ambient_morphism() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
ambient_variety() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
(sage.modular.abvar.abvar_ambient_jacobian.ModAbVar_ambient_jacobian_class method)

B

base_extend() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
base_field() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
brandt_module() (sage.modular.abvar.abvar.ModularAbelianVariety_modsym method)

C

calculate_generators() (sage.modular.abvar.homspace.Homspace method)
change_ring() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
characteristic_polynomial() (sage.modular.abvar.morphism.HeckeOperator method)
charpoly() (sage.modular.abvar.morphism.HeckeOperator method)
cokernel() (sage.modular.abvar.morphism.Morphism_abstract method)
complement() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
complementary_isogeny() (sage.modular.abvar.morphism.Morphism_abstract method)
component_group_order() (sage.modular.abvar.abvar.ModularAbelianVariety_modsym method)
cuspidal_subgroup() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
CuspidalSubgroup (class in sage.modular.abvar.cuspidal_subgroup)
CuspidalSubgroup_generic (class in sage.modular.abvar.cuspidal_subgroup)

D

decomposition() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
(sage.modular.abvar.abvar.ModularAbelianVariety_modsym_abstract method)
(sage.modular.abvar.abvar_ambient_jacobian.ModAbVar_ambient_jacobian_class method)
degen_t() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
degeneracy_map() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
(sage.modular.abvar.abvar_ambient_jacobian.ModAbVar_ambient_jacobian_class method)
DegeneracyMap (class in sage.modular.abvar.morphism)
degree() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
dimension() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
(sage.modular.abvar.abvar.ModularAbelianVariety_modsym_abstract method)
(sage.modular.abvar.abvar_ambient_jacobian.ModAbVar_ambient_jacobian_class method)
direct_product() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
discriminant() (sage.modular.abvar.homspace.EndomorphismSubring method)
divisor_of_order() (sage.modular.abvar.torsion_subgroup.RationalTorsionSubgroup method)
dual() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)

E

Element (sage.modular.abvar.finite_subgroup.FiniteSubgroup attribute)
(sage.modular.abvar.homspace.Homspace attribute)
(sage.modular.abvar.torsion_subgroup.QQbarTorsionSubgroup attribute)
endomorphism_ring() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
(sage.modular.abvar.abvar_newform.ModularAbelianVariety_newform method)
EndomorphismSubring (class in sage.modular.abvar.homspace)
exponent() (sage.modular.abvar.finite_subgroup.FiniteSubgroup method)

F

factor_modsym_space_new_factors() (in module sage.modular.abvar.abvar)
factor_new_space() (in module sage.modular.abvar.abvar)
factor_number() (sage.modular.abvar.abvar_newform.ModularAbelianVariety_newform method)
factor_out_component_group() (sage.modular.abvar.morphism.Morphism_abstract method)
field_of_definition() (sage.modular.abvar.finite_subgroup.FiniteSubgroup method)
(sage.modular.abvar.torsion_subgroup.QQbarTorsionSubgroup method)
finite_subgroup() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
FiniteSubgroup (class in sage.modular.abvar.finite_subgroup)
FiniteSubgroup_lattice (class in sage.modular.abvar.finite_subgroup)
free_module() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
(sage.modular.abvar.homology.Homology_abvar method)
(sage.modular.abvar.homology.Homology_submodule method)
(sage.modular.abvar.homspace.Homspace method)

G

gen() (sage.modular.abvar.finite_subgroup.FiniteSubgroup method)
(sage.modular.abvar.homology.Homology_abvar method)
(sage.modular.abvar.homspace.Homspace method)
gens() (sage.modular.abvar.finite_subgroup.FiniteSubgroup method)
(sage.modular.abvar.homology.Homology_abvar method)
(sage.modular.abvar.homspace.Homspace method)
group() (sage.modular.abvar.abvar.ModularAbelianVariety_modsym_abstract method)
(sage.modular.abvar.abvar_ambient_jacobian.ModAbVar_ambient_jacobian_class method)
groups() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
(sage.modular.abvar.abvar.ModularAbelianVariety_modsym_abstract method)
(sage.modular.abvar.abvar_ambient_jacobian.ModAbVar_ambient_jacobian_class method)

H

hecke_bound() (sage.modular.abvar.homology.Homology_abvar method)
(sage.modular.abvar.homology.Homology_submodule method)
hecke_matrix() (sage.modular.abvar.homology.Homology_abvar method)
(sage.modular.abvar.homology.Homology_over_base method)
(sage.modular.abvar.homology.Homology_submodule method)
(sage.modular.abvar.homology.IntegralHomology method)
(sage.modular.abvar.homology.RationalHomology method)
hecke_operator() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
hecke_polynomial() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
(sage.modular.abvar.homology.Homology method)
(sage.modular.abvar.homology.IntegralHomology method)
(sage.modular.abvar.homology.RationalHomology method)
HeckeOperator (class in sage.modular.abvar.morphism)
Homology (class in sage.modular.abvar.homology)
homology() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
Homology_abvar (class in sage.modular.abvar.homology)
Homology_over_base (class in sage.modular.abvar.homology)
Homology_submodule (class in sage.modular.abvar.homology)
Homspace (class in sage.modular.abvar.homspace)

I

image() (sage.modular.abvar.morphism.Morphism_abstract method)
image_of_hecke_algebra() (sage.modular.abvar.homspace.EndomorphismSubring method)
in_same_ambient_variety() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
index() (sage.modular.abvar.morphism.HeckeOperator method)
index_in() (sage.modular.abvar.homspace.EndomorphismSubring method)
index_in_saturation() (sage.modular.abvar.homspace.EndomorphismSubring method)
integral_homology() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
IntegralHomology (class in sage.modular.abvar.homology)
intersection() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
(sage.modular.abvar.finite_subgroup.FiniteSubgroup method)
invariants() (sage.modular.abvar.finite_subgroup.FiniteSubgroup method)
is_ambient() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
(sage.modular.abvar.abvar.ModularAbelianVariety_modsym_abstract method)
is_hecke_stable() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
is_isogeny() (sage.modular.abvar.morphism.Morphism_abstract method)
is_ModularAbelianVariety() (in module sage.modular.abvar.abvar)
is_rational_cusp_gamma0() (in module sage.modular.abvar.cuspidal_subgroup)
is_simple() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
is_subgroup() (sage.modular.abvar.finite_subgroup.FiniteSubgroup method)
is_subvariety() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
(sage.modular.abvar.abvar.ModularAbelianVariety_modsym_abstract method)
is_subvariety_of_ambient_jacobian() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
isogeny_number() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)

J

J0() (in module sage.modular.abvar.constructor)
J1() (in module sage.modular.abvar.constructor)
JH() (in module sage.modular.abvar.constructor)

K

kernel() (sage.modular.abvar.morphism.Morphism_abstract method)

L

label() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
(sage.modular.abvar.abvar_newform.ModularAbelianVariety_newform method)
lattice() (sage.modular.abvar.abvar.ModularAbelianVariety method)
(sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
(sage.modular.abvar.abvar.ModularAbelianVariety_modsym_abstract method)
(sage.modular.abvar.cuspidal_subgroup.CuspidalSubgroup method)
(sage.modular.abvar.cuspidal_subgroup.RationalCuspSubgroup method)
(sage.modular.abvar.cuspidal_subgroup.RationalCuspidalSubgroup method)
(sage.modular.abvar.finite_subgroup.FiniteSubgroup method)
(sage.modular.abvar.finite_subgroup.FiniteSubgroup_lattice method)
(sage.modular.abvar.torsion_subgroup.RationalTorsionSubgroup method)
level() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
Lseries (class in sage.modular.abvar.lseries)
lseries() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
Lseries_complex (class in sage.modular.abvar.lseries)
Lseries_padic (class in sage.modular.abvar.lseries)

M

matrix() (sage.modular.abvar.morphism.HeckeOperator method)
matrix_space() (sage.modular.abvar.homspace.Homspace method)
ModAbVar_ambient_jacobian() (in module sage.modular.abvar.abvar_ambient_jacobian)
ModAbVar_ambient_jacobian_class (class in sage.modular.abvar.abvar_ambient_jacobian)
modsym_lattices() (in module sage.modular.abvar.abvar)
modular_degree() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
modular_kernel() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
modular_symbols() (sage.modular.abvar.abvar.ModularAbelianVariety_modsym_abstract method)
ModularAbelianVariety (class in sage.modular.abvar.abvar)
ModularAbelianVariety_abstract (class in sage.modular.abvar.abvar)
ModularAbelianVariety_modsym (class in sage.modular.abvar.abvar)
ModularAbelianVariety_modsym_abstract (class in sage.modular.abvar.abvar)
ModularAbelianVariety_newform (class in sage.modular.abvar.abvar_newform)
Morphism (class in sage.modular.abvar.morphism)
Morphism_abstract (class in sage.modular.abvar.morphism)
multiple_of_order() (sage.modular.abvar.torsion_subgroup.RationalTorsionSubgroup method)

N

n() (sage.modular.abvar.morphism.HeckeOperator method)
new_subvariety() (sage.modular.abvar.abvar.ModularAbelianVariety_modsym_abstract method)
newform() (sage.modular.abvar.abvar_newform.ModularAbelianVariety_newform method)
newform_label() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
newform_level() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
ngens() (sage.modular.abvar.homspace.Homspace method)

O

old_subvariety() (sage.modular.abvar.abvar.ModularAbelianVariety_modsym_abstract method)
order() (sage.modular.abvar.finite_subgroup.FiniteSubgroup method)
(sage.modular.abvar.torsion_subgroup.RationalTorsionSubgroup method)

P

padic_lseries() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
possible_orders() (sage.modular.abvar.torsion_subgroup.RationalTorsionSubgroup method)
power_series() (sage.modular.abvar.lseries.Lseries_padic method)
prime() (sage.modular.abvar.lseries.Lseries_padic method)
project_to_factor() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
projection() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)

Q

qbar_torsion_subgroup() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
QQbarTorsionSubgroup (class in sage.modular.abvar.torsion_subgroup)
quotient() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)

R

random_hecke_operator() (in module sage.modular.abvar.abvar)
rank() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
(sage.modular.abvar.homology.Homology_abvar method)
(sage.modular.abvar.homology.Homology_submodule method)
rational_cusp_subgroup() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
rational_cuspidal_subgroup() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
rational_homology() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
rational_part() (sage.modular.abvar.lseries.Lseries_complex method)
rational_torsion_subgroup() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
RationalCuspidalSubgroup (class in sage.modular.abvar.cuspidal_subgroup)
RationalCuspSubgroup (class in sage.modular.abvar.cuspidal_subgroup)
RationalHomology (class in sage.modular.abvar.homology)
RationalTorsionSubgroup (class in sage.modular.abvar.torsion_subgroup)
restrict_domain() (sage.modular.abvar.morphism.Morphism method)

S

sage.modular.abvar.abvar (module)
sage.modular.abvar.abvar_ambient_jacobian (module)
sage.modular.abvar.abvar_newform (module)
sage.modular.abvar.constructor (module)
sage.modular.abvar.cuspidal_subgroup (module)
sage.modular.abvar.finite_subgroup (module)
sage.modular.abvar.homology (module)
sage.modular.abvar.homspace (module)
sage.modular.abvar.lseries (module)
sage.modular.abvar.morphism (module)
sage.modular.abvar.torsion_subgroup (module)
shimura_subgroup() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
simple_factorization_of_modsym_space() (in module sage.modular.abvar.abvar)
sqrt_poly() (in module sage.modular.abvar.abvar)
sturm_bound() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
subgroup() (sage.modular.abvar.finite_subgroup.FiniteSubgroup method)
submodule() (sage.modular.abvar.homology.Homology_abvar method)

T

t() (sage.modular.abvar.morphism.DegeneracyMap method)
tamagawa_number() (sage.modular.abvar.abvar.ModularAbelianVariety_modsym method)
tamagawa_number_bounds() (sage.modular.abvar.abvar.ModularAbelianVariety_modsym method)
torsion_subgroup() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)

V

vector_space() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)

Z

zero_subgroup() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)
zero_subvariety() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method)