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math.NT2012
Modular parametrizations of certain elliptic curves
Matija Kazalicki, Yuichi Sakai, Koji Tasaka
Kaneko and Sakai recently observed that certain elliptic curves whose associated newforms (by the modularity theorem) are given by the eta-quotients can be characterized by a parti…
math.NT2012
The Ramanujan-Serre differential operators and certain elliptic curves
Masanobu Kaneko, Yuichi Sakai
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 cur…