#11307: L rel. number field, E/L ell. curve, P in E(L), 'P in E.base_ring()' ->
AttributeError
-------------------------------+--------------------------------------------
   Reporter:  pbruin           |          Owner:  cremona   
       Type:  defect           |         Status:  new       
   Priority:  minor            |      Milestone:  sage-4.7.1
  Component:  elliptic curves  |       Keywords:            
Work_issues:                   |       Upstream:  N/A       
   Reviewer:                   |         Author:            
     Merged:                   |   Dependencies:            
-------------------------------+--------------------------------------------
 The following code gives an AttributeError where it should probably return
 False.

 {{{
 K = QuadraticField(2, 't')
 L = K.extension(x^2 + x + 1, 'u')
 E = EllipticCurve([1,0]).base_extend(L)
 E([0,0]) in E.base_ring()
 }}}

 This gives the following output:

 {{{
 AttributeError                            Traceback (most recent call
 last)

 <ipython console> in <module>()

 sage-4.6/local/lib/python2.6/site-packages/sage/structure/parent.so in
 sage.structure.parent.Parent.__contains__ (sage/structure/parent.c:6635)()

 sage-4.6/local/lib/python2.6/site-packages/sage/structure/parent.so in
 sage.structure.parent.Parent.__call__ (sage/structure/parent.c:6462)()

 sage-4.6/local/lib/python2.6/site-packages/sage/structure/coerce_maps.so
 in sage.structure.coerce_maps.DefaultConvertMap_unique._call_
 (sage/structure/coerce_maps.c:3118)()

 sage-4.6/local/lib/python2.6/site-packages/sage/structure/coerce_maps.so
 in sage.structure.coerce_maps.DefaultConvertMap_unique._call_
 (sage/structure/coerce_maps.c:3021)()

 sage-4.6/local/lib/python2.6/site-
 packages/sage/rings/number_field/number_field.pyc in
 _element_constructor_(self, x)
    1106                 result += x[i]*self.gen(0)**i
    1107             return result
 -> 1108         return self._coerce_non_number_field_element_in(x)
    1109
    1110     def _coerce_from_str(self, x):

 sage-4.6/local/lib/python2.6/site-
 packages/sage/rings/number_field/number_field_rel.pyc in
 _coerce_non_number_field_element_in(self, x)
     964             return self._element_class(self,
 f(self.gen()).polynomial() )
     965         else:
 --> 966             return self._element_class(self, x._rational_())
     967
     968     def _coerce_map_from_(self, R):

 sage-4.6/local/lib/python2.6/site-packages/sage/structure/element.so in
 sage.structure.element.Element.__getattr__
 (sage/structure/element.c:2666)()

 sage-4.6/local/lib/python2.6/site-packages/sage/structure/parent.so in
 sage.structure.parent.getattr_from_other_class
 (sage/structure/parent.c:2840)()

 sage-4.6/local/lib/python2.6/site-packages/sage/structure/parent.so in
 sage.structure.parent.raise_attribute_error
 (sage/structure/parent.c:2638)()

 AttributeError: 'EllipticCurvePoint_number_field' object has no attribute
 '_rational_'
 }}}

 The same code, but with base_extend(K) instead of base_extend(L), simply
 returns False, as expected.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11307>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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