#10152: bug in integral_points (for elliptic curves over Q)
-------------------------------+--------------------------------------------
   Reporter:  cremona          |       Owner:  cremona        
       Type:  defect           |      Status:  new            
   Priority:  major            |   Milestone:  sage-4.6.2     
  Component:  elliptic curves  |    Keywords:  integral points
     Author:                   |    Upstream:  N/A            
   Reviewer:                   |      Merged:                 
Work_issues:                   |  
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Comment(by cremona):

 Here is a list of curves and integral x-coordinates not found by Sage, as
 provided by John Cannon.  It is not necessarily complete, but is a minimal
 set of test cases for any patch fixing this.
 {{{

    Curve        Points found by Magma not in JC tables
  --------------------------
    2082a1       507525709
    6104b1       23036693
    8470g1       1681690
    8470g2       18888968
    13578j1      106398748
    16560w2      102492113
    23808e1      22259471153
    35739g1      148611521
    36094c1      1733011457
    36600bd1     880839998
    38646bd1     633070349
    38752c1      71243131
    39270x2      15427732395
    39330bu2     28736032507
    39715e1      367032124
    43050c2      127290394
    43770f1      247
    44282b1      704349106
    48294d1      26406701298449
    51414v1      649726
    51825h1      29581907
    52200e1      62128741241070
    56355b4      9817312168
    56392b1      49071409
    60610w2      81996154
    60648bm2     63137880         Curves missing around here
    63099e1      37015368
    65481c2      21083414         Curves missing around here
    75730a1      3786617429
    76128p1      50684407
    78078by1     1361015 5344835475
    83490r2      87561186
    90870a2      72592777212
    95337a1      167959
    100096h1     3318161
    101320f2     14134787
    103520a1     94894808
    108990cb2    71041501977
    109330k2     377482949
    109968f1     135059618524
    110976h2     116239257
    113706i1     1945 9319420657
    114240ev1    938125
    115920bb2    184673663
    116088n1     1374364421
    116511b1     1375325
    124110y1     37815783
    129420b1     1172841435
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10152#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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