Computing overconvergent forms for small primes
Number Theory
2019-02-20 v1
Abstract
In this note, we construct explicit bases for spaces of overconvergent -adic modular forms when and study their stability under the Atkin operator. The resulting extension of the algorithms of Lauder is illustrated with computations of slope sequences of some -adic eigencurves and the construction of Chow-Heegner points on elliptic curves via special values of Rankin triple product L-functions.
Cite
@article{arxiv.1411.6557,
title = {Computing overconvergent forms for small primes},
author = {Jan Vonk},
journal= {arXiv preprint arXiv:1411.6557},
year = {2019}
}