#10745: bug in elliptic curve gens()
-----------------------------------+--------------------------
       Reporter:  rlm              |        Owner:  cremona
           Type:  defect           |       Status:  needs_info
       Priority:  major            |    Milestone:
      Component:  elliptic curves  |   Resolution:
       Keywords:                   |    Merged in:
        Authors:                   |    Reviewers:
Report Upstream:  N/A              |  Work issues:
         Branch:                   |       Commit:
   Dependencies:                   |     Stopgaps:
-----------------------------------+--------------------------
Description changed by jdemeyer:

Old description:

> [See #15608 for a list of open simon_two_descent tickets]
>
> {{{
> sage: a = [1, 0, 1, -1751, -31352]
> sage: F = EllipticCurve(a)
> sage: K.<d> = QuadraticField(5)
> sage: FK = EllipticCurve(K, a)
> sage: F.gens()
> [(52 : 111 : 1)]
> sage: FK.gens()
> []
> }}}
> This isn't very good, because the default in Sage is proof=True, so one
> would expect this to be a provable result (until reading the docs of
> course).
>
> Over Q, if the result is not provable an error is raised or a warning is
> printed, depending on the `proof` flag. This should be the same here.
>
> In earlier versions of Sage (< 6.0), there was also a bug with caching:
> {{{
> sage: FK.gens(lim1=6)
> Traceback (most recent call last):
> ...
> KeyError: (6, 50, 10, 20, 30)
> }}}

New description:

 [See #15608 for a list of open simon_two_descent tickets]

 {{{
 sage: a = [1, 0, 1, -1751, -31352]
 sage: F = EllipticCurve(a)
 sage: K.<d> = QuadraticField(5)
 sage: FK = EllipticCurve(K, a)
 sage: F.gens()
 [(52 : 111 : 1)]
 sage: FK.gens()
 []
 }}}
 This isn't very good, because the default in Sage is proof=True, so one
 would expect this to be a provable result (until reading the docs of
 course).

 Over Q, if the result is not provable an error is raised or a warning is
 printed, depending on the `proof` flag. This should be the same here.

--

--
Ticket URL: <http://trac.sagemath.org/ticket/10745#comment:10>
Sage <http://www.sagemath.org>
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