#15767: Upgrade PARI to 2.7.1
-------------------------------------+-------------------------------------
       Reporter:  jdemeyer           |        Owner:
           Type:  enhancement        |       Status:  new
       Priority:  major              |    Milestone:  sage-6.3
      Component:  packages:          |   Resolution:
  standard                           |    Merged in:
       Keywords:                     |    Reviewers:
        Authors:  Jeroen Demeyer     |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  e5bdf4ccc2bab46b98c096e3cbb15dd0f942623e
  u/jdemeyer/ticket/15767            |     Stopgaps:
   Dependencies:  #15888, #15855     |
-------------------------------------+-------------------------------------

Comment (by pbruin):

 Replying to [comment:98 jdemeyer]:
 > We have a new regression (in a doctest added by #8828):
 > {{{
 > sage: K.<a> = NumberField(x^3-2)
 > sage: E = EllipticCurve([0,0,0,0,a])
 > sage: E.gens()
 > []
 > }}}
 >
 > This used to return
 > {{{
 > sage: K.<a> = NumberField(x^3-2)
 > sage: E = EllipticCurve([0,0,0,0,a])
 > sage: E.gens()
 > [(1/3*a^2 + a + 5/3 : -2*a^2 - 4/3*a - 5/3 : 1)]
 > }}}
 The parameter `lim1` for Simon's 2-descent program needs to be adjusted
 (default is 2, minimal value for which a point is found is now apparently
 5):
 {{{
 #!diff
 diff --git a/src/sage/schemes/elliptic_curves/height.py
 b/src/sage/schemes/elliptic_curves/height.py
 index 8d0ef41..6917594 100644
 --- a/src/sage/schemes/elliptic_curves/height.py
 +++ b/src/sage/schemes/elliptic_curves/height.py
 @@ -1800,7 +1800,7 @@ class EllipticCurveCanonicalHeight:
          This curve does have a point of good reduction whose canonical
          point is approximately 1.68::

 -            sage: P = E.gens()[0]
 +            sage: P = E.gens(lim1=5)[0]
              sage: P.height()
              1.68038085233673
              sage: P.has_good_reduction()
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/15767#comment:101>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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