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Package sage :: Package modular :: Package modform :: Module modform :: Class ModularFormElement |
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EisensteinSeries
A modular form. INPUT: parent -- ModularForms (an ambient space of modular forms) vector -- a vector on the basis for parent OUTPUT: ModularFormElement -- a modular form EXAMPLES: >>> from sage.modular.congroup import Gamma0 >>> M = ModularForms(Gamma0(11),2) >>> V = M.vector_space() >>> f = ModularFormElement(M, V.gen(0)) >>> f.parent() Space of modular forms on Gamma0(11) of weight 2 and dimension 2 over Rational Field
Method Summary | |
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__init__(self,
parent,
vector)
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__add__(self,
other)
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__cmp__(self,
other)
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__getitem__(self,
n)
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__getslice__(self,
i,
j)
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__neg__(self)
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__pos__(self)
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__radd__(self,
left)
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__repr__(self)
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__rsub__(self,
left)
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__sub__(self,
right)
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base_field(self)
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character(self)
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The coefficients a_n of self, for integers n>=0 in the list X. | |
Compute the coefficients a_n of self, for integers n>=0 in the list X. | |
is_zero(self)
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level(self)
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parent(self)
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prec(self)
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The q-expansion of the modular form to precision O(q**prec). | |
valuation(self)
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weight(self)
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Method Details |
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coefficients(self, X)The coefficients a_n of self, for integers n>=0 in the list X. This function caches the results of the compute function. |
compute(self, X)Compute the coefficients a_n of self, for integers n>=0 in the list X. The results need not be cached; use the coefficients method instead for cached results. |
qexp(self, prec=None)The q-expansion of the modular form to precision O(q**prec). This function takes one argument, which is the integer prec. |
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