#18589: isogeny efficiency improvement
-------------------------+-------------------------------------------------
       Reporter:         |        Owner:
  cremona                |       Status:  positive_review
           Type:         |    Milestone:  sage-6.8
  enhancement            |   Resolution:
       Priority:  major  |    Merged in:
      Component:         |    Reviewers:  Jeroen Demeyer
  elliptic curves        |  Work issues:
       Keywords:         |       Commit:
  isogeny                |  3d687e5225f67808eb6c5af5fbf4cb93f2000c62
        Authors:  John   |     Stopgaps:
  Cremona                |
Report Upstream:  N/A    |
         Branch:         |
  u/cremona/18589        |
   Dependencies:         |
-------------------------+-------------------------------------------------

Comment (by cremona):

 Replying to [comment:51 jdemeyer]:
 > Replying to [comment:50 cremona]:
 > > yet a single run of E.isogenies_prime_degree(89) is stil running after
 14 hours
 >
 > Can you interrupt (CTRL-C) it and look at the traceback to see what it's
 doing?

 As expected:  it is in the lines
 {{{
 -> 1939         if mult(S[-1]) == f:
 }}}
 and
 {{{
 -> 1928         return gcd(F(f(m(x)).numerator()),psi_l).monic()
 }}}
 and
 {{{
 -> 1588             return a.gcd(b, **kwargs)
 }}}
 and below that
 {{{
 /usr/local/sage/sage-2/src/sage/rings/polynomial/polynomial_number_field.pyx
 in sage.rings.poly
 nomial.polynomial_number_field.Polynomial_absolute_number_field_dense.gcd
 (build/cythonized/sag
 e/rings/polynomial/polynomial_number_field.c:1761)()
     203         h1 = self._pari_with_name('x')
     204         h2 = other._pari_with_name('x')
 --> 205         g = h1.gcd(h2)
 }}}
 and at the bottom, pari/gen.pyx

--
Ticket URL: <http://trac.sagemath.org/ticket/18589#comment:52>
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