English

Modular forms invariant under non-split Cartan subgroups

Number Theory 2018-05-18 v1

Abstract

In this paper we describe a method for computing a basis for the space of weight 22 cusp forms invariant under a non-split Cartan subgroup of prime level pp. As an application we compute, for certain small values of pp, explicit equations over Q\bf Q for the canonical embeddings of the associated modular curves.

Keywords

Cite

@article{arxiv.1805.06873,
  title  = {Modular forms invariant under non-split Cartan subgroups},
  author = {Pietro Mercuri and Rene Schoof},
  journal= {arXiv preprint arXiv:1805.06873},
  year   = {2018}
}
R2 v1 2026-06-23T01:59:01.458Z