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math.NT2025

Tetragonal modular quotients of

Petar Orlić

Let be a positive integer. For every such that there exists an Atkin-Lehner involution of the modular curve . Let be the group of all…

math.NT2025

Tetragonal modular quotients

Petar Orlić

Let be a positive integer. For every such that there exists an Atkin-Lehner involution of the modular curve . The curve is a quot…

math.NT2025

Intermediate modular curves with infinitely many quartic points

Maarten Derickx, Petar Orlić

For every group , there exists an intermediate modular curve . In this paper we determine all curves wi…

math.NT2025

Modular curves of density degree

Maarten Derickx, Wontae Hwang, Daeyeol Jeon +1

We determine all modular curves with density degree , i.e. all curves with infinitely many points of degree and only finitely many points of degree $d\leq4…

math.NT2024

Tetragonal intermediate modular curves

Petar Orlić

For every group , there exists an intermediate modular curve . In this paper we determine all curves …

math.NT2024

Tetragonal modular quotients

Petar Orlić

Let be a positive integer. For every such that there exists an Atkin-Lehner involution of the modular curve . In this paper we determine al…