Quasi-modular forms attached to elliptic curves: Hecke operators

Hossein Movasati

Publications of CMSA of Harvard mathscidoc:1702.38037

In this article we describe Hecke operators on the differential algebra of geometric quasi-modular forms. As an application for each natural number d we construct a vector field in six dimensions which determines uniquely the polynomial relations between the Eisenstein series of weight 2, 4 and 6 and their transformation under multiplication of the argument by d, and in particular, it determines uniquely the modular curve of degree d isogenies between elliptic curves.
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  title={Quasi-modular forms attached to elliptic curves: Hecke operators},
  author={Hossein Movasati},
Hossein Movasati. Quasi-modular forms attached to elliptic curves: Hecke operators. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170207031751395788237.
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