#9410: EC.local_data() can't handle extensions of number fields
-------------------------------+--------------------------------------------
   Reporter:  arminstraub      |       Owner:  cremona   
       Type:  defect           |      Status:  new       
   Priority:  major            |   Milestone:            
  Component:  elliptic curves  |    Keywords:  local_data
     Author:                   |    Upstream:  N/A       
   Reviewer:                   |      Merged:            
Work_issues:                   |  
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 In 4.4.4 the following code produces a ValueError:

 {{{
 sage: K.<a> = NumberField(x^2+1)
 sage: L.<b> = K.extension(x^2-17)
 sage: E = EllipticCurve(L, [1,1])
 sage: E.local_data()
 }}}

 As a workaround, one can use absolute_field:

 {{{
 L1.<c> = L.absolute_field()
 E1 = EllipticCurve(L1, [1,1])
 E1.local_data()
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9410>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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