#16934: Finite fields coercion bug
------------------------+----------------------------
   Reporter:  jdemeyer  |            Owner:
       Type:  defect    |           Status:  new
   Priority:  major     |        Milestone:  sage-6.4
  Component:  coercion  |         Keywords:
  Merged in:            |          Authors:
  Reviewers:            |  Report Upstream:  N/A
Work issues:            |           Branch:
     Commit:            |     Dependencies:
   Stopgaps:            |
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 The following sequence of commands somehow breaks the coercion framework.
 This is on vanilla Sage 6.4.beta1. The problem only occurs if
 {{{impl="pari_ffelt"}}} is explicitly given, even though that is the
 default:
 {{{
 sage: k.<a> = GF(17^14, impl="pari_ffelt")
 sage: _ = EllipticCurve_from_j(a^584645231109031).cardinality()
 sage: k.<a> = GF(17^14, impl="pari_ffelt")
 sage: _ = EllipticCurve_from_j(a^584645231109031).cardinality()
 TypeError                                 Traceback (most recent call
 last)
 [...]
 TypeError: no coercion defined
 }}}

 Remark: the value `a^584645231109031` is chosen to lie in the subfield
 `GF(17^2)`, an elliptic curve over this field is created in the
 `cardinality()` call.

--
Ticket URL: <http://trac.sagemath.org/ticket/16934>
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