#9335: linear independence of points on an elliptic curve
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   Reporter:  jen            |       Owner:  was     
       Type:  task           |      Status:  new     
   Priority:  major          |   Milestone:  sage-4.5
  Component:  number theory  |    Keywords:          
     Author:                 |    Upstream:  N/A     
   Reviewer:                 |      Merged:          
Work_issues:                 |  
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 During Sage Days 21 (while porting David Roberts' and John Cremona's
 implementation of 2-descent for elliptic curves over function fields), we
 came across the Magma function IsLinearlyIndependent, which does not
 appear to have an analogue in Sage.

 What it does is the following: given a list of points on an elliptic
 curve, it returns true iff the points are linearly independent; else it
 returns false and a vector of coefficients specifying a linear combination
 of the points that results in torsion.

 We would like to have a function that does this in Sage.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9335>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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