#9322: long time in simon_two_descent for elliptic curves
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       Reporter:  cremona                    |        Owner:  AlexGhitza
           Type:  defect                     |       Status:  needs_info
       Priority:  major                      |    Milestone:  sage-6.1
      Component:  elliptic curves            |   Resolution:
       Keywords:  simon_two_descent ecc2011  |    Merged in:
        Authors:                             |    Reviewers:
Report Upstream:  N/A                        |  Work issues:
         Branch:                             |       Commit:
   Dependencies:                             |     Stopgaps:
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Description changed by cremona:

Old description:

> [NB This is a different problem from the one on #5153]
>
> Chris Wuthrich reports:
> {{{
> sage: K.<w> = NumberField(x^2-x-232)
> sage: E = EllipticCurve([2-w,18+3*w,209+9*w,2581+175*w,852-55*w])
> sage: E.local_data()
> []
> sage: E.simon_two_descent(verbose=2)
> }}}
> This takes about 2.5 minutes with Sage 4.7.1 on a 1.6Ghz Core 2 Duo.
>
> The same example runs fine in gp using the same version of the script
> ell.gp that Sage has (in version 4.4.4) and the same version of gp.

New description:

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

 [NB This is a different problem from the one on #5153]

 Chris Wuthrich reports:
 {{{
 sage: K.<w> = NumberField(x^2-x-232)
 sage: E = EllipticCurve([2-w,18+3*w,209+9*w,2581+175*w,852-55*w])
 sage: E.local_data()
 []
 sage: E.simon_two_descent(verbose=2)
 }}}
 This takes about 2.5 minutes with Sage 4.7.1 on a 1.6Ghz Core 2 Duo.

 The same example runs fine in gp using the same version of the script
 ell.gp that Sage has (in version 4.4.4) and the same version of gp.

--

--
Ticket URL: <http://trac.sagemath.org/ticket/9322#comment:13>
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