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

Frontiers in Combinatorics and Number Theory 2026 Open access

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Authors: Masanobu Kaneko, Masato Kuwata
DOI: 10.3934/fcnt.2026001
Cited by: 0

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.

Fields of Study & Subjects

Advanced Mathematical Identities Algebraic Geometry and Number Theory Advanced Algebra and Geometry

Publication details

Journal / source
Frontiers in Combinatorics and Number Theory
Volume
1
Issue
0
Pages
1–15
Publication date
1 January 2026
Language
EN