#8505: random points on elliptic curve misses half the group
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   Reporter:  robertwb         |       Owner:  cremona     
       Type:  defect           |      Status:  needs_review
   Priority:  major            |   Milestone:  sage-4.3.4  
  Component:  elliptic curves  |    Keywords:              
     Author:                   |    Upstream:  N/A         
   Reviewer:                   |      Merged:              
Work_issues:                   |  
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Comment(by cremona):

 My patch (after reviewing and testing the whole sage library) has to be
 applied *instead* of Robert's, though it still has his tag on it (sorry).
 It does two things relative to his:
     1. I changed a few doctest outputs for the random point tests.  I am
 worried though, since these changes were not only replacing a point by its
 negative!  Why?
     2. testing with -long revealed a bug in sqrt() for integer-mods: when
 0 then the return was 0 and not [0] which broke the new code since it uses
 the all=true option.  This was *only* revealed in the -long test!  Take
 note!!

 I left this as "needs review" since it needs someone else (e.g. robertwb)
 to check my change, especially the one at 2. above, and also I would like
 to hear views on my other remark under 1.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8505#comment:4>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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