#12853: Severe slow-down in elliptic_curve integral_points()
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       Reporter:  jdemeyer     |         Owner:  tbd     
           Type:  defect       |        Status:  new     
       Priority:  blocker      |     Milestone:  sage-5.0
      Component:  performance  |    Resolution:          
       Keywords:               |   Work issues:          
Report Upstream:  N/A          |     Reviewers:          
        Authors:               |     Merged in:          
   Dependencies:               |      Stopgaps:          
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Old description:

> Consider the file
> {{{
> E = EllipticCurve([-879984,319138704])
> P1 = E.point((540,1188))
> P2 = E.point((576,1836))
> P3 = E.point((468,3132))
> P4 = E.point((612,3132))
> P5 = E.point((432,4428))
> t = cputime()
> pts = E.integral_points([P1,P2,P3,P4,P5])
> print "Time:", cputime(t)
> }}}
>
> With sage-4.8, this takes about 35 seconds.  With sage-5.0.beta10, the
> same test takes about 50 seconds.
>
> According to Volker Braun, this is caused by #11599.

New description:

 Consider the file
 {{{
 E = EllipticCurve([-879984,319138704])
 P1 = E.point((540,1188))
 P2 = E.point((576,1836))
 P3 = E.point((468,3132))
 P4 = E.point((612,3132))
 P5 = E.point((432,4428))
 t = cputime()
 pts = E.integral_points([P1,P2,P3,P4,P5])
 print "Time:", cputime(t)
 }}}

 With sage-4.8, this takes about 35 seconds.  With sage-5.0.beta10, the
 same test takes about 50 seconds.

 This is caused by #11599.

--

Comment (by jdemeyer):

 I can confirm that this is caused by #11599.  When applying #11599 to
 sage-5.0.beta3, I get the same slowdown.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12853#comment:2>
Sage <http://www.sagemath.org>
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