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.
Modular forms invariant under non-split cartan subgroups / Mercuri, P.; Schoof, R.. - In: MATHEMATICS OF COMPUTATION. - ISSN 0025-5718. - 89:324(2020), pp. 1969-1991. [10.1090/MCOM/3503]
Modular forms invariant under non-split cartan subgroups
Mercuri P.;
2020
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.File allegati a questo prodotto
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