Below are links to all my thesis-related computations.

Humbert surfaces

  • Components in the Runge model for discriminants less than 20 and even discriminants less than 70 (468KB).
  • Components in the Rosenhain model for discriminants up to 20, 24.
  • Components in the level 2 Satake model for discriminants up to 40, 44, 48 and 52 (434KB).
  • Level 1 equations using the symmetric Satake model for discriminants up to 13 (69KB), discriminant 16 (257KB), discriminant 17 (284KB), discriminant 20 (314KB), discriminant 21 (307KB).

    • Shimura curves

    Resultant factors of Humbert intersections using the
  • Rosenhain model
  • symmetric Satake model

    • (3,3)-isogeny relations

    The (3,3)-isogeny relation ideal V(f;3) which is used in the last chapter can be found here.