Intermediate modular curves with infinitely many quartic points
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 [Formula: see text] 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.
Authors
- Petar Orlić (ORCID: https://orcid.org/0009-0009-9183-8071)
- Maarten Derickx (ORCID: https://orcid.org/0000-0001-7186-2087)
Institutions
- University of Zagreb (HR)
Publication Details
- Journal
- International Journal of Number Theory
- Published
- 2026-01-16
- DOI
- https://doi.org/10.1142/s1793042126500557
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00