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Package sage :: Package modular :: Package modform :: Module modform :: Class ModularFormsWithCharacter |
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HeckeModule
--+ |ModularFormsSpace
--+ |object
--+ | | |_uniqModularForms
--+ |ModularForms
--+ |object
--+ | | |_uniqModularForms_chars
--+ | ModularFormsWithCharacter
Method Summary | |
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weight -- int character -- dirichlet.DirichletCharacter base_field -- base field | |
__repr__(self)
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change_base(self,
F)
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dim_cuspidal(self)
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dim_eisenstein(self)
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dim_new_cuspidal(self)
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dim_new_eisenstein(self)
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modular_symbols(self)
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Inherited from ModularForms | |
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Set or get default initial precision for printing modular forms. | |
Compute q-expansion to precision prec of the linear combination of the basis for this space given by the vector. | |
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Inherited from object | |
x.__delattr__('name') <==> del x.name | |
x.__getattribute__('name') <==> x.name | |
x.__hash__() <==> hash(x) | |
helper for pickle | |
helper for pickle | |
x.__setattr__('name', value) <==> x.name = value | |
x.__str__() <==> str(x) | |
Inherited from ModularFormsSpace | |
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True if x is an element or subspace of self. | |
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This function returns a list of subspaces V(f_i,t) corresponding to newforms f_i of some level dividing the level of self, such that the direct sum of the subspaces equals self, if possible. | |
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This function returns a list of subspaces S(M,t) and E(M,t), corresponding to levels M dividing N and integers t dividing N/M, such that self is the direct sum of these spaces, if possible. | |
For a space M of modular forms, this function returns an integer B such that two modular forms in either self or M are equal if and only if their q-expansions are equal to precision B. | |
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Inherited from HeckeModule | |
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Returns true if and only if only it is possible to split off a nontrivial generalized eigenspace of self as the kernel of some Hecke operator. | |
Returns true if and only if only it is possible to split off a nontrivial generalized eigenspace of self as the kernel of some Hecke operator of index coprime to the level. | |
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Instance Method Details |
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__init__(self,
character,
weight,
base_field=None)
weight -- int character -- dirichlet.DirichletCharacter base_field
-- base field
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