#3416: Weierstrass form and Jacobian for cubics and certain other genus-one 
curves
-------------------------------------+-------------------------------------
       Reporter:  moretti            |        Owner:  was
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-5.12
      Component:  elliptic curves    |   Resolution:
       Keywords:  nagell,            |    Merged in:
  weierstrass, cubic, elliptic       |    Reviewers:  John Cremona, Marco
  curves, editor_wstein              |  Streng, Nils Bruin
        Authors:  Niels Duif,        |  Work issues:
  Volker Braun                       |       Commit:
Report Upstream:  N/A                |     Stopgaps:
         Branch:                     |
   Dependencies:  #12553, #13084,    |
  #13458                             |
-------------------------------------+-------------------------------------
Changes (by jdemeyer):

 * status:  positive_review => needs_work


Comment:

 Sorry, there are some issues with these patches:

 Most importantly, the doctests for `Jacobian_magma_from_plane_curve` don't
 actually use the function `Jacobian_magma_from_plane_curve`. So the
 function which is "useful for doctesting" doesn't seem to be used in any
 doctest.

 Then some details: I would replace
 {{{
 sage: x,y,z=PolynomialRing(QQ,3,'xyz').gens()
 }}}
 by
 {{{
 sage: R.<x,y,z> = PolynomialRing(QQ,3)
 }}}
 or
 {{{
 sage: R.<x,y,z> = QQ[]
 }}}

 And also replace
 {{{
 sage: f = x**5 + 1184*x**3 + 1846*x**2 + 956*x + 560
 }}}
 by
 {{{
 sage: f = x^5 + 1184*x^3 + 1846*x^2 + 956*x + 560
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/3416#comment:80>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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