#9322: long time in simon_two_descent for elliptic curves
---------------------------------------------+--------------------------
       Reporter:  cremona                    |        Owner:  AlexGhitza
           Type:  defect                     |       Status:  needs_info
       Priority:  major                      |    Milestone:  sage-6.2
      Component:  elliptic curves            |   Resolution:
       Keywords:  simon_two_descent ecc2011  |    Merged in:
        Authors:                             |    Reviewers:
Report Upstream:  N/A                        |  Work issues:
         Branch:                             |       Commit:
   Dependencies:  #11005, #15483             |     Stopgaps:
---------------------------------------------+--------------------------
Changes (by pbruin):

 * dependencies:   => #11005, #15483


Comment:

 After applying #11005 (upgrade Simon's script to the latest version),
 rather than running for a long time, this example now gives an error
 similar to #15483:
 {{{
 sage: K.<w> = NumberField(x^2-x-232)
 sage: E = EllipticCurve([2-w,18+3*w,209+9*w,2581+175*w,852-55*w])
 sage: E.local_data()
 []
 sage: E.simon_two_descent()
 Traceback (most recent call last):
 ...
 RuntimeError:
   ***   at top-level: ans=bnfellrank(K,[-a+2,3
   ***                     ^--------------------
   ***   in function bnfellrank: ...eqtheta,rnfeq,bbnf];rang=
   ***   bnfell2descent_gen(b
   ***   ^--------------------
   ***   in function bnfell2descent_gen: ...und,r=nfsqrt(nf,norm(zc))
   ***   [1];if(DEBUGLEVEL_el
   ***   ^--------------------
   ***   array index (1) out of allowed range [none].
 An error occurred while running Simon's 2-descent program
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/9322#comment:15>
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