#14476: non-integral models can cause a bug in local_data for elliptic curves 
over
number fields
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       Reporter:  wuthrich         |         Owner:  cremona  
           Type:  defect           |        Status:  new      
       Priority:  major            |     Milestone:  sage-5.10
      Component:  elliptic curves  |    Resolution:           
       Keywords:  local_data       |   Work issues:           
Report Upstream:  N/A              |     Reviewers:           
        Authors:                   |     Merged in:           
   Dependencies:                   |      Stopgaps:           
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Comment (by wuthrich):

 Just so that I don't forget what I found out so far :

 The issue, as silly as it sounds, comes up from {{{__repr__}}} this class.
 This does not display {{{_Emin}}} the minimal equation that Tate's
 algorithm found, instead it wants to compute {{{minimal_model}}}. This
 does nothing but calling {{{_reduced_model}}} in
 {{{ell_number_fields.py}}}. And that is global again. So in
 {{{_reduce_model}}} it checks if the coefficients are integers, while we
 only need that they are local integers here.

 The quick solution I see is to add to the local class a function to reduce
 the model locally. But I will have to check what that is going to break.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14476#comment:3>
Sage <http://www.sagemath.org>
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