#14472: some elliptic curve functions over number fields fail over relative 
fields
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   Reporter:  cremona          |             Owner:  cremona                    
         
       Type:  defect           |            Status:  new                        
         
   Priority:  major            |         Milestone:  sage-5.10                  
         
  Component:  elliptic curves  |          Keywords:  elliptic curve relative 
number field
Work issues:                   |   Report Upstream:  N/A                        
         
  Reviewers:                   |           Authors:                             
         
  Merged in:                   |      Dependencies:                             
         
   Stopgaps:                   |  
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 This was reported by Alejandro Argaez:
 {{{
 sage: K1.<w>=NumberField(x^2+x+1)
 sage: m=polygen(K1)
 sage: K2.<v>=K1.extension(m^2-w+1)
 sage: E=EllipticCurve([0*v,-432])
 sage: E.global_minimal_model()
 <boom>
 }}}
 The error is that the degree() function is called on the ring of integers
 of a relative number field.

 In fixing this bug (which should be easy) it would be a good idea to add
 relative examples to as many functions as possible in
 {{{ell_numberfield.py}}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14472>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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