Quasi-modular forms attached to elliptic curves: Hecke operators
Algebraic Geometry
2012-05-14 v1 Mathematical Physics
math.MP
Number Theory
Abstract
In this article we introduce Hecke operators on the differential algebra of geometric quasi-modular forms. As an application for each natural number 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 , and in particular, it determines uniquely the modular curve of degree isogenies between elliptic curves.
Cite
@article{arxiv.1205.2408,
title = {Quasi-modular forms attached to elliptic curves: Hecke operators},
author = {Hossein Movasati},
journal= {arXiv preprint arXiv:1205.2408},
year = {2012}
}
Comments
15 pages