Modular parametrizations of certain elliptic curves

• Autorzy: Matija Kazalicki , Koji Tasaka
• Języki publikacji: EN

Abstrakty

EN

Kaneko and Sakai (2013) 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 the modular parametrization associated to the elliptic curves over ℚ, and as a consequence we generalize and explain some of their findings.

Kategorie tematyczne

• 11F30: Fourier coefficients of automorphic forms
• 11G05: Elliptic curves over global fields
• 11F11: Holomorphic modular forms of integral weight

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2014
• Tom: 163
• Numer: 1
• Strony: 33-43

Daty

wydano

2014

Twórcy

autor

Matija Kazalicki

• Department of Mathematics, University of Zagreb, Bijenicka cesta 30, Zagreb, Croatia

autor

Koji Tasaka

• Graduate School of Mathematics, Kyushu University, 744 Motooka Nishiku, Fukuoka-city, Fukuoka, 819-0395, Japan

Identyfikatory

DOI

10.4064/aa163-1-3