#9322: bug in simon_two_descent for elliptic curves
-----------------------+----------------------------------------------------
   Reporter:  cremona  |       Owner:  AlexGhitza
       Type:  defect   |      Status:  new       
   Priority:  major    |   Milestone:            
  Component:  algebra  |    Keywords:            
     Author:           |    Upstream:  N/A       
   Reviewer:           |      Merged:            
Work_issues:           |  
-----------------------+----------------------------------------------------

Comment(by cremona):

 {{{

 j...@ubuntu%sage -gp
                   GP/PARI CALCULATOR Version 2.3.5 (released)
 ...

 ? bnf=bnfinit(y^2-y-232);
 ? w=Mod(y,y^2-y-232)
 %8 = Mod(y, y^2 - y - 232)
 ? e=ellinit([2-w,18+3*w,209+9*w,2581+175*w,852-55*w]);
 ? bnfellrank(bnf,e)
 courbe elliptique : Y^2 = x^3 + Mod(9*y + 308, y^2 - y - 232)*x^2 +
 Mod(1200*y + 27936, y^2 - y - 232)*x + Mod(57968*y + 1054096, y^2 - y -
 232)
 points triviaux sur la courbe = [[1, 1, 0]]
 #S(E/K)[2]    = 4
 #E(K)/2E(K)  >= 1
 #III(E/K)[2] <= 4
 rang(E/K)    >= 0
 listpointsmwr = []
 %10 = [0, 2, []]
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9322#comment:1>
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