#10096: sha().an() assumes E is minimal.
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   Reporter:  weigandt         |       Owner:  cremona                          
       Type:  defect           |      Status:  needs_review                     
   Priority:  major            |   Milestone:  sage-4.6                         
  Component:  elliptic curves  |    Keywords:  elliptic curves, sha, real period
     Author:  John Cremona     |    Upstream:  N/A                              
   Reviewer:                   |      Merged:                                   
Work_issues:                   |  
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Changes (by newvalueoldvalue):

  * status:  new => needs_review
  * author:  => John Cremona


Comment:

 The patch fixes this.  the minimal model is computed on construction and
 used in place of the original (when the latter is not minimal).  New
 doctests show that the reported problem has gone away.

 It would be helpful if someone could confirm that this is the correct
 thing to do also for the an_padic() function.  The doctests still pass,
 but I sust[ect that they are all with minimal curves anyway.  I was
 assuming (a) that the value of an_padic() was isomorphism-invariant, and
 (2) that using a minimal model would be at least as fast, possibly faster,
 than using a non-minimal model, even if both give the correct answer!

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10096#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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