The Ramanujan-Serre differential operators and certain elliptic curves
  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. 
Masanobu Kaneko and Yuichi Sakai
math.NT