#13633: Bug in cuspidal/eisenstein decomposition of modular symbols mod p
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   Reporter:  robharron      |             Owner:  davidloeffler                
     
       Type:  defect         |            Status:  new                          
     
   Priority:  major          |         Milestone:  sage-5.5                     
     
  Component:  modular forms  |          Keywords:  modular symbols, mod p, 
eisenstein
Work issues:                 |   Report Upstream:  N/A                          
     
  Reviewers:                 |           Authors:                               
     
  Merged in:                 |      Dependencies:                               
     
   Stopgaps:                 |  
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 The following code
 {{{
 sage: ModularSymbols(Gamma0(46 * 47), 2, 1, GF(47)).eisenstein_subspace()
 }}}
 produces an ArithmeticError saying "subspace is not invariant under
 matrix". In a presumably completely related example, the code

 {{{
 sage: ModularSymbols(Gamma0(46 * 47), 2, 1,
 GF(47)).cuspidal_subspace().hecke_polynomial(47)
 }}}
 produces the exact same arithmetic error. I have computed examples like
 above where 46 is replaced by any N in the range 24 to 45 or 47 to 54 and
 where 47 is replaced with any prime less than 50 (not dividing N) and have
 not encountered the problem.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13633>
Sage <http://www.sagemath.org>
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