Numerical modular symbols for elliptic curves

We present a detailed analysis of how to implement the computation of modular symbols for a given elliptic curve by using numerical approximations. This method turns out to be more effcient than current implementations as the conductor of the curve increases.

Bibliographic Details
Main Author: Wuthrich, Christian
Format: Article
Published: American Mathematical Society 2017
Online Access:https://eprints.nottingham.ac.uk/41549/
Description
Summary:We present a detailed analysis of how to implement the computation of modular symbols for a given elliptic curve by using numerical approximations. This method turns out to be more effcient than current implementations as the conductor of the curve increases.