#14752: typo causes failure in nonsplit Cartan image for elliptic curve Galois
representation
-----------------------------------------+----------------------------------
       Reporter:  cremona                |         Owner:  cremona  
           Type:  defect                 |        Status:  new      
       Priority:  minor                  |     Milestone:  sage-5.11
      Component:  elliptic curves        |    Resolution:           
       Keywords:  galois representation  |   Work issues:           
Report Upstream:  N/A                    |     Reviewers:           
        Authors:                         |     Merged in:           
   Dependencies:                         |      Stopgaps:           
-----------------------------------------+----------------------------------

Comment (by cremona):

 The patch fixes the two typos and adds a doctest to show that the original
 case now works.  In addition, I ran the following script:
 {{{
 for E in cremona_curves([11..300000]):
     D = E.discriminant()
     cm = E.has_cm()
     rho = E.galois_representation()
     lab = E.label()
     for p in primes_first_n(15):
         if not cm or not p.divides(D):
             print lab,p,rho.image_type(p)
 }}}
 with 5.10.rc2 + database_cremona_ellcurve-20121022.spkg and every curve in
 the database runs without crashing.

 A future task is to check that the output agrees with that of Sutherland's
 independent C program.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14752#comment:1>
Sage <http://www.sagemath.org>
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