#11270: Implement David Zywina's new fast algorithm for determining 
surjectivity of
Galois representations attached to elliptic curves
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       Reporter:  was              |        Owner:  cremona
           Type:  enhancement      |       Status:  new
       Priority:  minor            |    Milestone:  sage-6.1
      Component:  elliptic curves  |   Resolution:
       Keywords:                   |    Merged in:
        Authors:                   |    Reviewers:
Report Upstream:  N/A              |  Work issues:
         Branch:                   |       Commit:
   Dependencies:                   |     Stopgaps:
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Comment (by wuthrich):

 I tried to do this, but I ran into an inconsistency. I copied the first
 code of Zywina taken from

 http://www.mast.queensu.ca/~zywina/papers/code/EffectiveModl.py

 where for small primes, he uses explicit polynomials as criterions for
 non-surjectivity. When I did so, there were doctest failures that show
 that his program does not give the same answer as our sage implementation.
 I have checked in details these three cases and I found that our result is
 correct and his wrong. I contact him about this.

 So until further notice, this is a ticket that we should NOT do.

--
Ticket URL: <http://trac.sagemath.org/ticket/11270#comment:2>
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