#11270: Implement David Zywina's new fast algorithm for determining
surjectivity of
Galois representations attached to elliptic curves
-------------------------------+--------------------------------------------
Reporter: was | Owner: cremona
Type: enhancement | Status: new
Priority: minor | Milestone: sage-4.7.1
Component: elliptic curves | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
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This paper [1] has a much faster more precise algorithm than the one in
Sage for accomplishing the following sort of thing:
{{{
sage: E = EllipticCurve('147b1')
sage: E.galois_representation().non_surjective()
[13]
}}}
The point of this ticket is to get this into Sage as the default algorithm
(while keeping the old one, of course). I (William Stein) am working
with Zywina on this (it is a little more involved than just copying things
from his paper...)
[1] http://www.math.upenn.edu/~zywina/papers/EffectiveModl.pdf
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11270>
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