The Ramanujan-Serre differential operators and certain elliptic curves

Details The Ramanujan-Serre differential operators and certain elliptic curves The Ramanujan-Serre differential operators and certain elliptic curves

2012-01-09

arxiv.org/abs/1201.1685v1

Mathematics

Number Theory

8 pages

Scientific paper

For several congruence subgroups of low levels and their conjugates, we
derive differential equations satisfied by the Eisenstein series of weight 4
and relate them to elliptic curves, whose associated new forms of weight 2
constitute the list of Martin and Ono of new forms given by
eta-products/quotients.

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