#4795: Modular forms over finite fields need work
---------------------------+------------------------------------------------
Reporter: craigcitro | Owner: craigcitro
Type: defect | Status: new
Priority: major | Milestone: sage-3.2.2
Component: modular forms | Keywords:
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The modular forms code hasn't really been tested too much with the base
ring being a finite field. There was an old file
`sage/modular/modform/bugs.py` which contained two tests, both of which
fail.
First, we have what seems to be an infinite loop:
{{{
sage: m = ModularForms(DirichletGroup(8).1,2,GF(7)); m
Modular Forms space of dimension 2, character [1, -1] and weight 2 over
Finite Field of size 7
sage: m.basis() # this just goes into infinite loop (???)
}}}
And now for a `NotImplementedError` -- the following '''should''' work but
doesn't:
{{{
sage: ModularForms(DirichletGroup(13, GF(7)).0^6,3).base_ring()
Finite Field of size 7
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4795>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
Reinventing the Wheel
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