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I am interested to compute: ``torsion subgroups of Jacobian abelian variety J_0(p^2) defined over fields bigger than rationals."

The command: Upto p=11 it is fine after that if you give

J0(169).qbar_torsion_subgroup().field_of_definition()

gives the error:

``AttributeError                            Traceback (most recent call last)
<ipython-input-1-0f46a1a51624> in <module>()
      1 A = J0(Integer(169))
      2 A.qbar_torsion_subgroup()
----> 3 A.field_of_definition()
      4 J0(Integer(169)).qbar_torsion_subgroup().field_of_definition()"

Can somebody kindly tell me why Sage can compute upto p=11?

I wish to find out Moore Penrose psudo inverse of a matrix with variable row $4 \times k$ matrix with $k \in \mathbb{N}$ with entries a function of k. Is it possible to write down in SAGE?

MAGMA is not good..showing run time error..do you know how to implement the command: Chi28 := FullDirichletGroup(28); chi := Chi28.1*Chi28.2; Chi28; M28chi := CuspidalSubspace( ModularSymbols(chi, 2, 1)); M28chi; A := ModularAbelianVariety(M28chi); BrauerClass(M28chi);

Alex Brown and Eknath Ghate implemented Endohecke. The links are here:

Is it possible to implement the programme in SAGE? Many thanks for your kind help.