#4337: [with patch, needs review] modular forms -- compute action of Hecke
operators on Gamma_1(N) modular forms
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Reporter: was | Owner: davidloeffler
Type: defect | Status: assigned
Priority: major | Milestone: sage-4.0
Component: modular forms | Keywords:
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Changes (by davidloeffler):
* owner: craigcitro => davidloeffler
* status: new => assigned
Comment:
I believe I've fixed the Gamma1 bug; I've checked the algorithm by
comparing the output with the obvious algorithm of summing over the
character spaces for all characters of the given modulus, and it seems to
agree (and it's a lot quicker).
The GammaH one is more deep-rooted -- just about nothing works for spaces
of GammaH forms, not even the basis() method. I've inserted a dummy
routine that raises a NotImplementedError at an appropriate place, which
is better than the current infinite loop. It will be easy to add
computation of Hecke ops for modular forms for GammaH once we have them
for the corresponding spaces of modular symbols.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4337#comment:1>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
Reinventing the Wheel
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