#11448: Basic implementation of point counting using canonical lift for elliptic
curve.
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       Reporter:  jpflori                                                |      
   Owner:  cremona 
           Type:  enhancement                                            |      
  Status:  new     
       Priority:  major                                                  |     
Milestone:  sage-5.4
      Component:  elliptic curves                                        |    
Resolution:          
       Keywords:  point counting, satoh, elliptic curve, canonical lift  |   
Work issues:  Fix F_8 
Report Upstream:  N/A                                                    |     
Reviewers:          
        Authors:  Jean-Pierre Flori                                      |     
Merged in:          
   Dependencies:                                                         |      
Stopgaps:          
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Comment (by jpflori):

 PARI now has very efficient point counting in small characteristic (faster
 than MAGMA), we should wrap these functionnalities.
 I have as well code based on FLINT yielding similar performance as PARI.

 I've put some timings of the PARI code (originally posted on pari-dev
 list) at #11548.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11448#comment:6>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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