#18611: Further isogeny improvement
-------------------------------------+-------------------------------------
       Reporter:  jdemeyer           |        Owner:
           Type:  enhancement        |       Status:  positive_review
       Priority:  major              |    Milestone:  sage-6.8
      Component:  elliptic curves    |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Jeroen Demeyer     |    Reviewers:  John Cremona
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/jdemeyer/ticket/18611            |  7dfcc8e3a8d27b923afaae87a0b4764008146f5d
   Dependencies:  #18589             |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by cremona):

 * status:  needs_review => positive_review
 * reviewer:   => John Cremona


Comment:

 Looks good and tests out well.  For the record:
 {{{
 sage: K.<a>=NumberField(x^2-x-22)
 sage: sage: E=EllipticCurve([0,0,1,-1590*a-8580,92750*a+359875])
 sage: sage: time E.isogenies_prime_degree(89)
 CPU times: user 25min 37s, sys: 2.4 s, total: 25min 39s
 Wall time: 25min 37s
 [Isogeny of degree 89 from Elliptic Curve defined by y^2 + y = x^3 +
 (-1590*a-8580)*x + (92750*a+359875) over Number Field in a with defining
 polynomial x^2 - x - 22 to Elliptic Curve defined by y^2 + y = x^3 +
 (12594390*a-80556570)*x + (-65385874750*a+319086769867) over Number Field
 in a with defining polynomial x^2 - x - 22]
 }}}
 though thanks to the code at #18589 this does not use mult() anyway so is
 not strictly relevant to this ticket.

--
Ticket URL: <http://trac.sagemath.org/ticket/18611#comment:10>
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