2018•Mathematics of ComputationOpen access
Covariants of binary sextics and modular forms of degree 2 with character
Fabien Cléry, Carel Faber, Gerard van der Geer
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Abstract
We use covariants of binary sextics to describe the structure of modules of scalar-valued or vector-valued Siegel modular forms of degree 2 2 with character, over the ring of scalar-valued Siegel modular forms of even weight. For a modular form defined by a covariant we express the order of vanishing along the locus of products of elliptic curves in terms of the covariant.