#6583: Implement two descent over QQ natively in Sage using ratpoints
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   Reporter:  rlm              |       Owner:  rlm          
       Type:  enhancement      |      Status:  needs_review 
   Priority:  major            |   Milestone:  sage-4.3     
  Component:  elliptic curves  |    Keywords:               
Work_issues:                   |      Author:  Robert Miller
   Upstream:  N/A              |    Reviewer:               
     Merged:                   |  
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Comment(by cremona):

 Sorry, I did not mean to sound so critical.  Of course this should be
 included.  I have not had time to look at it in detail (though I feel that
 people expect me to, and give an expert opinion).  I think it would be
 good to have native 2-descent code in Sage (another extremely useful
 project would be to rewrite Simon's gp program over number fields in
 Sage), not least because the current interface is not very good (hard to
 use non-standard parameter settings, for example) and uses the ancient
 ratpoints, all because I have not had the time to improve those things.

 Experience tells me that if you put in code which was designed for curves
 with small conductor then you will very soon find that people try to run
 the same code on huge examples.  This is precisely what happened to me --
 the first version of what later became mwrank was written solely for the
 purpose of computing the ranks of the curves in my book, i.e. N<1000.  So
 the new code must be tested on large examples too.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6583#comment:16>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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