#9322: bug in simon_two_descent for elliptic curves
-------------------------------+--------------------------------------------
   Reporter:  cremona          |       Owner:  AlexGhitza                       
          
       Type:  defect           |      Status:  needs_info                       
          
   Priority:  major            |   Milestone:  sage-4.7                         
          
  Component:  elliptic curves  |    Keywords:  Simon                            
          
     Author:                   |    Upstream:  Not yet reported upstream; Will 
do shortly.
   Reviewer:                   |      Merged:                                   
          
Work_issues:                   |  
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Changes (by cremona):

  * keywords:  => Simon
  * status:  needs_work => needs_info
  * upstream:  N/A => Not yet reported upstream; Will do shortly.


Comment:

 With 4.7.alpha1 this works fine:
 {{{
 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()
 (0, 2, [])
 }}}
 but after #11005 (which updates to a newer version of Simon's GP scripts)
 we run into an infinite loop:
 {{{
  **** Warning: doubling the real precision in nfsign_s **** 76
  **** Warning: doubling the real precision in nfsign_s **** 152
  **** Warning: doubling the real precision in nfsign_s **** 76
  **** Warning: doubling the real precision in nfsign_s **** 152
  **** Warning: doubling the real precision in nfsign_s **** 76
 }}}
 which I will test on a stand-alone gp and report upstream.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9322#comment:3>
Sage <http://www.sagemath.org>
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