#12356: many missing class number 2 orders in CM j-invariant function over
quadratic fields
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   Reporter:  cremona                      |          Owner:  cremona           
         
       Type:  defect                       |         Status:  needs_review      
         
   Priority:  critical                     |      Milestone:  sage-5.0          
         
  Component:  elliptic curves              |       Keywords:                    
         
Work_issues:                               |       Upstream:  N/A               
         
   Reviewer:  John Cremona, William Stein  |         Author:  John Cremona, 
William Stein
     Merged:                               |   Dependencies:                    
         
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Comment(by cremona):

 After all these years I still manage to lose large chunks of texts right
 after typing them.  In this case I had been typing into this box, then
 clicked to upload a patch, after which the text had gone.  So here's what
 the reviewer patch does:

     1. trivial fixes to docstrings to keep Sphinx happy and tidy up

     2. small change to code.  There is a factor in the formula which is
 usually 1 but can be 2 or 3 and the factor is in the denominator so cannot
 be ignored without risking losing solutions.  I have inserted it, though I
 did not come up with any case in which this would actually cause an error.

 I also have several suggestions for making the new code more efficient,
 but it is fine for small h and the new code replaces *wrong* code for h=2
 which did not work at all for h>2, so the efficiency question can be dealt
 with on a separate ticket.

 I give a positive review apart from the issue in #2 above, so if William
 agrees with my change we can together give an overall positive review; or
 ask a 3rd party.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12356#comment:9>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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