Intermediate modular curves with infinitely many quartic points

International Journal of Number Theory 2026 Open access

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Authors: Maarten Derickx, Petar Orlić
DOI: 10.1142/s1793042126500557
Cited by: 0
References: 24

Abstract

For every group [Formula: see text], there exists an intermediate modular curve [Formula: see text]. In this paper, we determine all curves [Formula: see text] with infinitely many points of degree 4 over [Formula: see text]. To do that, we developed a method to compute possible degrees of rational morphisms from [Formula: see text] to an elliptic curve.

Fields of Study & Subjects

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

Publication details

Journal / source
International Journal of Number Theory
Volume
22
Issue
05
Pages
1053–1074
Publication date
16 January 2026
Language
EN