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 Q for the canonical embeddings of the associated modular curves.
Mercuri, P., Schoof, R. (2020). Modular forms invariant under non-split cartan subgroups. MATHEMATICS OF COMPUTATION, 89(324), 1969-1991 [10.1090/MCOM/3503].
Modular forms invariant under non-split cartan subgroups
Mercuri P.;
2020-02-03
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 Q for the canonical embeddings of the associated modular curves.
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