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arXiv · 1805.06873

Modular forms invariant under non-split Cartan subgroups

Pietro Mercuri·Rene Schoof
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Abstract

In this paper we describe a method for computing a basis for the space of weight $2$ cusp forms invariant under a non-split Cartan subgroup of prime level $p$. As an application we compute, for certain small values of $p$, explicit equations over $\bf Q$ for the canonical embeddings of the associated modular curves.

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Pietro Mercuri, Rene Schoof. 2018-05-17. Modular forms invariant under non-split Cartan subgroups. https://arxiv.org/abs/1805.06873

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