#17293: Taking the dual of a negated isogeny raises an error
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   Reporter:  pbruin           |            Owner:
       Type:  defect           |           Status:  new
   Priority:  minor            |        Milestone:  sage-6.4
  Component:  elliptic curves  |         Keywords:  isogeny dual
  Merged in:                   |          Authors:
  Reviewers:                   |  Report Upstream:  N/A
Work issues:                   |           Branch:
     Commit:                   |     Dependencies:
   Stopgaps:                   |
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 In the following example, taking the dual works for the isogeny `phi` but
 fails for the negated isogeny `psi`:
 {{{
 sage: k.<s> = QuadraticField(2)
 sage: E = EllipticCurve(k, [-3*s*(4 + 5*s), 2*s*(2 + 14*s + 11*s^2)])
 sage: phi = E.isogenies_prime_degree(3)[0]
 sage: psi = -phi
 sage: phi.dual()
 Isogeny of degree 3 from Elliptic Curve defined by y^2 = x^3 +
 (108*s-270)*x + (-1296*s+1512) over Number Field in s with defining
 polynomial x^2 - 2 to Elliptic Curve defined by y^2 = x^3 + (-12*s-30)*x +
 (48*s+56) over Number Field in s with defining polynomial x^2 - 2
 sage: psi.dual()
 Traceback (most recent call last):
 ...
 NameError: global name 'E0' is not defined
 }}}

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Ticket URL: <http://trac.sagemath.org/ticket/17293>
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