#5080: Bug in decomposing modular symbol subspace
---------------------------+------------------------------------------------
 Reporter:  robertwb       |       Owner:  craigcitro
     Type:  defect         |      Status:  new       
 Priority:  major          |   Milestone:  sage-3.4.1
Component:  modular forms  |    Keywords:            
---------------------------+------------------------------------------------
 {{{
 sage: E = EllipticCurve("128a")
 sage: E.congruence_number()
 ------------------------------------------------------------
 Traceback (most recent call last):
   File "<ipython console>", line 1, in <module>
   File "/Users/robert/sage/sage-3.1.3/local/lib/python2.5/site-
 packages/sage/schemes/elliptic_curves/ell_rational_field.py", line 2618,
 in congruence_number
     self.__congruence_number = W.congruence_number(V)
   File "/Users/robert/sage/sage-3.1.3/local/lib/python2.5/site-
 packages/sage/modular/modsym/space.py", line 938, in congruence_number
     W = other.q_expansion_module(prec, ZZ)
   File "/Users/robert/sage/sage-3.1.3/local/lib/python2.5/site-
 packages/sage/modular/modsym/space.py", line 770, in q_expansion_module
     return self._q_expansion_module_integral(prec)
   File "/Users/robert/sage/sage-3.1.3/local/lib/python2.5/site-
 packages/sage/modular/modsym/space.py", line 910, in
 _q_expansion_module_integral
     V = self.q_expansion_module(prec, QQ)
   File "/Users/robert/sage/sage-3.1.3/local/lib/python2.5/site-
 packages/sage/modular/modsym/space.py", line 772, in q_expansion_module
     return self._q_expansion_module_rational(prec)
   File "/Users/robert/sage/sage-3.1.3/local/lib/python2.5/site-
 packages/sage/modular/modsym/space.py", line 861, in
 _q_expansion_module_rational
     return self._q_expansion_module(prec)
   File "/Users/robert/sage/sage-3.1.3/local/lib/python2.5/site-
 packages/sage/modular/modsym/space.py", line 820, in _q_expansion_module
     return A.span([f.padded_list(prec) for f in
 self.q_expansion_basis(prec, algorithm)])
   File "/Users/robert/sage/sage-3.1.3/local/lib/python2.5/site-
 packages/sage/modular/modsym/space.py", line 602, in q_expansion_basis
     return Sequence(self._q_expansion_basis_hecke_dual(prec), cr=True)
   File "/Users/robert/sage/sage-3.1.3/local/lib/python2.5/site-
 packages/sage/modular/modsym/space.py", line 1073, in
 _q_expansion_basis_hecke_dual
     v = [self.dual_hecke_matrix(n).column(i) for n in range(1,prec)]
   File "/Users/robert/sage/sage-3.1.3/local/lib/python2.5/site-
 packages/sage/modular/hecke/module.py", line 797, in dual_hecke_matrix
     T = self._compute_dual_hecke_matrix(n)
   File "/Users/robert/sage/current/local/lib/python2.5/site-
 packages/sage/modular/hecke/submodule.py", line 110, in
 _compute_dual_hecke_matrix
     return A.restrict(self.dual_free_module(), check=check)
   File "/Users/robert/sage/current/local/lib/python2.5/site-
 packages/sage/modular/hecke/submodule.py", line 320, in dual_free_module
     "(cut down to rank %s, but should have cut down to rank
 %s)."%(V.rank(), self.rank())
 RuntimeError: Computation of embedded dual vector space failed (cut down
 to rank 9, but should have cut down to rank 8).
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5080>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
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