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Bibliographic Details
Main Authors: Derickx, Maarten, Hwang, Wontae, Jeon, Daeyeol, Orlić, Petar
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2503.08975
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Table of Contents:
  • We determine all modular curves $X_0(N)$ with density degree $5$, i.e. all curves $X_0(N)$ with infinitely many points of degree $5$ and only finitely many points of degree $d\leq4$. As a consequence, the problem of determining all curves $X_0(N)$ with infinitely many points of degree $5$ remains open for only $30$ levels $N$.