def __init__(self, f, internal_name=False):
"""
Create the modular abelian variety `A_f` attached to the
newform `f`.
INPUT:
f -- a newform
EXAMPLES::
sage: f = CuspForms(37).newforms('a')[0]
sage: f.abelian_variety()
Newform abelian subvariety 37a of dimension 1 of J0(37)
"""
if not isinstance(f, Newform):
raise TypeError, "f must be a newform"
self.__f = f
self._is_hecke_stable = True
K = f.qexp().base_ring()
if K == QQ:
variable_name = None
else:
variable_name = K.variable_name()
self.__named_newforms = { variable_name: self.__f }
if not internal_name:
self.__named_newforms[None] = self.__f
ModularAbelianVariety_modsym_abstract.__init__(self, (f.group(),), QQ,
is_simple=True, newform_level = (f.level(), f.group()),
isogeny_number=f.number(), number=0)
def __init__(self, f, internal_name=False):
"""
Create the modular abelian variety `A_f` attached to the
newform `f`.
INPUT:
f -- a newform
EXAMPLES::
sage: f = CuspForms(37).newforms('a')[0]
sage: f.abelian_variety()
Newform abelian subvariety 37a of dimension 1 of J0(37)
"""
if not isinstance(f, Newform):
raise TypeError, "f must be a newform"
self.__f = f
self._is_hecke_stable = True
K = f.qexp().base_ring()
if K == QQ:
variable_name = None
else:
variable_name = K.variable_name()
self.__named_newforms = {variable_name: self.__f}
if not internal_name:
self.__named_newforms[None] = self.__f
ModularAbelianVariety_modsym_abstract.__init__(
self, (f.group(), ),
QQ,
is_simple=True,
newform_level=(f.level(), f.group()),
isogeny_number=f.number(),
number=0)
def __init__(self, group):
"""
Create an ambient Jacobian modular abelian variety.
EXAMPLES::
sage: A = J0(37); A
Abelian variety J0(37) of dimension 2
sage: type(A)
<class 'sage.modular.abvar.abvar_ambient_jacobian.ModAbVar_ambient_jacobian_class_with_category'>
sage: A.group()
Congruence Subgroup Gamma0(37)
"""
ModularAbelianVariety_modsym_abstract.__init__(self, (group, ), QQ)
self.__group = group
self._is_hecke_stable = True
def __init__(self, group):
"""
Create an ambient Jacobian modular abelian variety.
EXAMPLES::
sage: A = J0(37); A
Abelian variety J0(37) of dimension 2
sage: type(A)
<class 'sage.modular.abvar.abvar_ambient_jacobian.ModAbVar_ambient_jacobian_class_with_category'>
sage: A.group()
Congruence Subgroup Gamma0(37)
"""
ModularAbelianVariety_modsym_abstract.__init__(self, (group,), QQ)
self.__group = group
self._is_hecke_stable = True