#4525: [with patch, needs review] LLL-reduction of elliptic curve bases (with
resulting speed enhancement to integral_points())
----------------------------+-----------------------------------------------
 Reporter:  cremona         |        Owner:  was       
     Type:  defect          |       Status:  new       
 Priority:  major           |    Milestone:  sage-3.2.1
Component:  number theory   |   Resolution:            
 Keywords:  elliptic curve  |  
----------------------------+-----------------------------------------------
Comment (by was):

 > The funny thing is that I only ran this curve to check a claim made in "
 Solving
 > the Diophantine equation y2=x(x2−n2)" by Konstantinos Draziotis,
 Dimitrios Poulakis
 > which just appeared in Volume 129, Issue 1, Pages 102-121 (January 2009)
 of
 > the Journal of Number theory; in that paper they miss x=1392!

 That's an extremely bizarre coincidence!!!!!!!  What did those guys use to
 get the wrong answer?  Magma finds 1392.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4525#comment:6>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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