#4897: [with patch, needs review] integral_points() misses some points
--------------------------------------------+-------------------------------
 Reporter:  cremona                         |        Owner:  was     
     Type:  defect                          |       Status:  new     
 Priority:  major                           |    Milestone:  sage-3.4
Component:  number theory                   |   Resolution:          
 Keywords:  elliptic curve integral points  |  
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Changes (by cremona):

  * summary:  integral_points() misses some points => [with patch, needs
              review] integral_points() misses some points

Comment:

 The patch is based on 3.2.2 + #4901 (which has a positive review but is
 not yet merged).

 It does what was promised above, i.e. corrects the function
 point_preprocessing().  A doctest is added with example from Francois
 Glineur.  In addition, I reran every single curve in the database (as
 reported to sage-nt) and have uploaded the revised files to my web page:
 in about 1% of cases (over 8000 curves) there are more integral points
 than before.

 The only file touched here is
 schemes/elliptic_curves/ell_rational_field.py, which is one of the ones
 which has already been sphinxified (see #4926) so this patch will need to
 be merged with that one at some point.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4897#comment:3>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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