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arXiv · 2510.27395

Bianchi's elliptic quintic curves and several modular function fields of level ten

Masanobu Kaneko·Masato Kuwata
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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.

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Masanobu Kaneko, Masato Kuwata. 2025-10-31. Bianchi's elliptic quintic curves and several modular function fields of level ten. https://arxiv.org/abs/2510.27395

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