#8498: bug in has_good_reduction for a point on an elliptic curve over a number
field
-------------------------------+--------------------------------------------
   Reporter:  wuthrich         |       Owner:  cremona   
       Type:  defect           |      Status:  new       
   Priority:  major            |   Milestone:  sage-4.3.4
  Component:  elliptic curves  |    Keywords:            
     Author:                   |    Upstream:  N/A       
   Reviewer:                   |      Merged:            
Work_issues:                   |  
-------------------------------+--------------------------------------------
 Jean Gillibert reported me the following bug. Define

 {{{
 E = EllipticCurve('11a1')
 K.<t> = NumberField(x^2+47)
 EK = E.base_extend(K)
 T = EK(5,5)
 P = EK(-2, -1/2*t - 1/2)
 p = K.ideal(11)
 }}}

 Then the following works fine

 {{{
 sage: T.has_good_reduction(p)
 False
 }}}

 but not this one :

 {{{
 P.has_good_reduction(p)
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8498>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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