Bianchi's elliptic quintic curves and several modular function fields of level ten
Number Theory
2025-11-20 v2
Abstract
We provide an explicit description of two torsion points on the classical Bianchi elliptic quintic curve in terms of Ramanujan's functions. As a byproduct, we describe generators and defining equations of several modular function fields of level 10 using those functions.
Cite
@article{arxiv.2510.27395,
title = {Bianchi's elliptic quintic curves and several modular function fields of level ten},
author = {Masanobu Kaneko and Masato Kuwata},
journal= {arXiv preprint arXiv:2510.27395},
year = {2025}
}
Comments
15 pages, 1 figure