Computations of algebraic modular forms associated with the definite quaternion algebra of discriminant $2$
Number Theory
2024-06-04 v3
Abstract
In this paper, we present an algorithm to compute a basis of the space of algebraic modular forms on the maximal order of the definite quaternion algebra of discriminant , and provide a database of such bases. One of our motivations is to study congruence relations of algebraic modular forms.
Keywords
Cite
@article{arxiv.2312.15893,
title = {Computations of algebraic modular forms associated with the definite quaternion algebra of discriminant $2$},
author = {Hiroyuki Ochiai and Satoshi Wakatsuki and Shun'ichi Yokoyama},
journal= {arXiv preprint arXiv:2312.15893},
year = {2024}
}