#10951: ecmfactor should take as optional argument the sigma value
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   Reporter:  zimmerma       |       Owner:  tbd     
       Type:  enhancement    |      Status:  new     
   Priority:  minor          |   Milestone:  sage-4.7
  Component:  factorization  |    Keywords:          
     Author:                 |    Upstream:  N/A     
   Reviewer:                 |      Merged:          
Work_issues:                 |  
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 I suggest the {{{ecmfactor}}} function takes as optional argument a sigma
 value, which would be passed to GMP-ECM. In case of a successful
 factorization, this would allow to know the lucky curve, for
 example to report it on some tables of records.

 For example I found a 61-digit prime factor using {{{ecmfactor}}},
 but was unable to know the lucky sigma
 (http://www.loria.fr/~zimmerma/records/ecmnet.html).

 Alternatively, one could store the (random) sigma value chosen by
 GMP-ECM if not sigma was given, but that might be more difficult to
 implement.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10951>
Sage <http://www.sagemath.org>
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