\BOOKMARK [1][-]{section.1}{Introduction}{}% 1
\BOOKMARK [1][-]{section.2}{The Abelian Variety A}{}% 2
\BOOKMARK [2][-]{subsection.2.1}{Determining the Jordan\205H\366lder factors of A[m]}{section.2}% 3
\BOOKMARK [2][-]{subsection.2.2}{Determining A[m]}{section.2}% 4
\BOOKMARK [2][-]{subsection.2.3}{The torsion subgroup of A and A}{section.2}% 5
\BOOKMARK [2][-]{subsection.2.4}{Conjectural Computations with the BSD conjecture}{section.2}% 6
\BOOKMARK [2][-]{subsection.2.5}{Remarks on the Structure of the Tate Module}{section.2}% 7
\BOOKMARK [1][-]{section.3}{The Descent}{}% 8
\BOOKMARK [1][-]{section.4}{Algorithmic Computations}{}% 9
\BOOKMARK [2][-]{subsection.4.1}{The quotient by the Eisenstein ideal}{section.4}% 10
\BOOKMARK [2][-]{subsection.4.2}{The 15-dimensional abelian variety A}{section.4}% 11
\BOOKMARK [2][-]{subsection.4.3}{The Index of Om in its integral closure}{section.4}% 12
\BOOKMARK [2][-]{subsection.4.4}{The modular degree of A}{section.4}% 13
\BOOKMARK [2][-]{subsection.4.5}{The kernels of ideals acting on A}{section.4}% 14
\BOOKMARK [2][-]{subsection.4.6}{Simultaneous pathologies}{section.4}% 15
\BOOKMARK [2][-]{subsection.4.7}{Computing the minimal degree of an isogeny to the dual}{section.4}% 16
\BOOKMARK [2][-]{subsection.4.8}{Table of minimal isogeny degrees}{section.4}% 17