Computing Congruences Between an Elliptic Curve with Integer Coefficients and the Old Space
Number Theory
2012-02-24 v1
Abstract
We put together some known theoretical results and the fact that certain computations can be done efficiently in SAGE to come up with a fast algorithm for calculating congruence primes linking a newform with integer coefficients (i.e. a newform associated to an elliptic curve) with the old space at the same level.
Keywords
Cite
@article{arxiv.1202.5265,
title = {Computing Congruences Between an Elliptic Curve with Integer Coefficients and the Old Space},
author = {Randy Heaton},
journal= {arXiv preprint arXiv:1202.5265},
year = {2012}
}