#12080: manin constant
-------------------------------------------+--------------------------------
       Reporter:  wuthrich                 |         Owner:  cremona     
           Type:  defect                   |        Status:  needs_review
       Priority:  major                    |     Milestone:  sage-5.0    
      Component:  elliptic curves          |    Resolution:              
       Keywords:  manin constant, isogeny  |   Work issues:              
Report Upstream:  N/A                      |     Reviewers:              
        Authors:  wuthrich                 |     Merged in:              
   Dependencies:                           |      Stopgaps:  todo        
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Comment (by was):

 Replying to [comment:4 wuthrich]:
 > magma, by the way, gets the correct answer (meaning the one consistent
 with my definition above).

 I finally wrote the obvious program that one should write when ref'ing
 this patch:

 {{{
 wstein@boxen:/tmp/wstein/sage-5.0.b9$ more 12080.sage
 for E in cremona_curves([1..10000]):
     N = E.conductor()
     if N%100==0: print N
     c = E.manin_constant()
     d = magma(E).ManinConstant()
     if c != d:
         print E.cremona_label(), c, d
 }}}

 When running it up to 300, I get two differences from Magma:
 {{{
 27a4 3 1
 80b4 2 1
 nothing else up to 300
 }}}
 It could very well be that Magma is wrong...  but as part of this patch,
 could somebody get to the bottom of this?

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12080#comment:13>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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