O'Reilly logo

Computational Aspects of Modular Forms and Galois Representations by Robin de Jong, Jean-Marc Couveignes, Franz Merkl, Johan Bosman, Bas Edixhoven

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

Chapter Twelve

Approximating Vƒ over the complex numbers

by Jean-Marc Couveignes

 

In this chapter, we address the problem of computing torsion divisors on modular curves with an application to the explicit calculation of modular representations. We assume that we are given an even integer k > 2, a prime integer l > 6(k − 1), a finite field Image with characteristic l, and a ring epimorphism ƒ : Image (1,k) → Image. We want to compute the associated Galois representation ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required