def cuspidal_submodule(self):
"""
Return the cuspidal submodule of this modular forms space.
EXAMPLES::
sage: m = ModularForms(GammaH(100, [29]),2); m
Modular Forms space of dimension 48 for Congruence Subgroup Gamma_H(100) with H generated by [29] of weight 2 over Rational Field
sage: m.cuspidal_submodule()
Cuspidal subspace of dimension 13 of Modular Forms space of dimension 48 for Congruence Subgroup Gamma_H(100) with H generated by [29] of weight 2 over Rational Field
"""
try:
return self.__cuspidal_submodule
except AttributeError:
if self.level() == 1:
self.__cuspidal_submodule = cuspidal_submodule.CuspidalSubmodule_level1_Q(
self)
else:
self.__cuspidal_submodule = cuspidal_submodule.CuspidalSubmodule_gH_Q(
self)
return self.__cuspidal_submodule
def cuspidal_submodule(self):
r"""
Return the cuspidal submodule of this space of modular forms for
`\Gamma_0(N)`.
EXAMPLES::
sage: m = ModularForms(Gamma0(33),4)
sage: s = m.cuspidal_submodule(); s
Cuspidal subspace of dimension 10 of Modular Forms space of dimension 14 for Congruence Subgroup Gamma0(33) of weight 4 over Rational Field
sage: type(s)
<class 'sage.modular.modform.cuspidal_submodule.CuspidalSubmodule_g0_Q_with_category'>
"""
try:
return self.__cuspidal_submodule
except AttributeError:
if self.level() == 1:
self.__cuspidal_submodule = cuspidal_submodule.CuspidalSubmodule_level1_Q(self)
else:
self.__cuspidal_submodule = cuspidal_submodule.CuspidalSubmodule_g0_Q(self)
return self.__cuspidal_submodule
def cuspidal_submodule(self):
"""
Return the cuspidal submodule of this modular forms space.
EXAMPLES::
sage: m = ModularForms(Gamma1(17),2); m
Modular Forms space of dimension 20 for Congruence Subgroup Gamma1(17) of weight 2 over Rational Field
sage: m.cuspidal_submodule()
Cuspidal subspace of dimension 5 of Modular Forms space of dimension 20 for Congruence Subgroup Gamma1(17) of weight 2 over Rational Field
"""
try:
return self.__cuspidal_submodule
except AttributeError:
if self.level() == 1:
self.__cuspidal_submodule = cuspidal_submodule.CuspidalSubmodule_level1_Q(
self)
else:
self.__cuspidal_submodule = cuspidal_submodule.CuspidalSubmodule_g1_Q(
self)
return self.__cuspidal_submodule