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arXiv · 1212.6152

Modular parametrizations of certain elliptic curves

Matija Kazalicki·Yuichi Sakai·Koji Tasaka
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Abstract

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 particular differential equation involving modular forms and Ramanujan-Serre differential operator. In this paper, we study certain properties of modular parametrizations associated to the elliptic curves over Q, and as a consequence we generalize and explain some of their findings.

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Matija Kazalicki, Yuichi Sakai, Koji Tasaka. 2012-12-26. Modular parametrizations of certain elliptic curves. https://arxiv.org/abs/1212.6152

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