Modular parametrizations of certain elliptic curves

@article{MatijaKazalicki2014,
abstract = { 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. },
author = {Matija Kazalicki, Koji Tasaka},
journal = {Acta Arithmetica},
keywords = {modular parametrization; modular forms; Ramanujan-Serre differential operator; modular degree},
language = {eng},
number = {1},
pages = {33-43},
title = {Modular parametrizations of certain elliptic curves},
url = {http://eudml.org/doc/279785},
volume = {163},
year = {2014},
}

TY - JOUR
AU - Matija Kazalicki
AU - Koji Tasaka
TI - Modular parametrizations of certain elliptic curves
JO - Acta Arithmetica
PY - 2014
VL - 163
IS - 1
SP - 33
EP - 43
AB - 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.
LA - eng
KW - modular parametrization; modular forms; Ramanujan-Serre differential operator; modular degree
UR - http://eudml.org/doc/279785
ER -