#11041: Implement the number field method for computing 2-Selmer groups of 
elliptic
curves natively in Sage.
-------------------------------------------------+-------------------------
       Reporter:  weigandt                       |        Owner:  weigandt
           Type:  enhancement                    |       Status:  new
       Priority:  major                          |    Milestone:  sage-
      Component:  elliptic curves                |  feature
       Keywords:  descent, selmer, number        |   Resolution:
  field, simon_two_descent                       |    Merged in:
        Authors:                                 |    Reviewers:
Report Upstream:  N/A                            |  Work issues:
         Branch:                                 |       Commit:
   Dependencies:                                 |     Stopgaps:
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Changes (by pbruin):

 * keywords:  descent, selmer, number field => descent, selmer, number
     field, simon_two_descent


Old description:

> There are many concerns about simon_two_descent().
> See tickets: #5153, #9322, #10735, #10745, #10832, #11005
>
> As a step toward implementing a general framework for Selmer group
> computations as discussed in #11039. A native implementation of the
> "number field method" for computed 2-Selmer groups should be produced.

New description:

 There are many concerns about simon_two_descent().
 See tickets: #5153, #9322, #10735, #10745, #10832, #11005, #15483.

 As a step toward implementing a general framework for Selmer group
 computations as discussed in #11039. A native implementation of the
 "number field method" for computed 2-Selmer groups should be produced.

--

--
Ticket URL: <http://trac.sagemath.org/ticket/11041#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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