#11905: Implement division_field() from elliptic curves
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       Reporter:  jdemeyer           |        Owner:  cremona
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.1
      Component:  elliptic curves    |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Jeroen Demeyer     |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/jdemeyer/ticket/11905            |  05c57d2a031f34ac4d95ca5a13448c92206f0f41
   Dependencies:  #2217, #15626,     |     Stopgaps:
  #11271                             |
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Description changed by jdemeyer:

Old description:

> `sage/schemes/elliptic_curves/gal_reps.py` has code to compute a
> splitting field, but that clearly does not belong to elliptic curves.  We
> should use the new `splitting_field()` function from #2217.
>
> We should make it work also over number fields and think about
> efficiency.

New description:

 `sage/schemes/elliptic_curves/gal_reps.py` has code to compute a splitting
 field, but that clearly does not belong to elliptic curves. This is used
 to compute the division field. We should use the new `splitting_field()`
 function from #2217 to implement this. We should make it work also over
 number fields.

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Ticket URL: <http://trac.sagemath.org/ticket/11905#comment:29>
Sage <http://www.sagemath.org>
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