Petar Orlić

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20222026

X_{0} (N)

4 citations · 7 across the 10 of their papers we have counts for

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math.NT2025

Tetragonal modular quotients of $X_{0} (N)$

Petar Orlić

Let $N$ be a positive integer. For every $d ∣ N$ such that $(d, N / d) = 1$ there exists an Atkin-Lehner involution $w_{d}$ of the modular curve $X_{0} (N)$ . Let $B (N)$ be the group of all…

math.NT2025

Tetragonal modular quotients $X_{0}^{*} (N)$

Petar Orlić

Let $N$ be a positive integer. For every $d ∣ N$ such that $(d, N / d) = 1$ there exists an Atkin-Lehner involution $w_{d}$ of the modular curve $X_{0} (N)$ . The curve $X_{0}^{*} (N)$ is a quot…

math.AG2025

Morphisms on the modular curve $X_{0} (p)$ and degree $6$ points

Maarten Derickx, Petar Orlić

Let $p$ be a prime. We study non-constant morphisms $f : X_{0} (p)_{\to} Y$ , where $Y / Q$ is a curve of genus $\geq 2$ . We prove that for $p < 3000$ such an $f$ of degree $d>…

math.NT2025

Intermediate modular curves with infinitely many quartic points

Maarten Derickx, Petar Orlić

For every group ${\pm 1} \subseteq Δ \subseteq (Z / N Z)^{\times}$ , there exists an intermediate modular curve $X_{Δ} (N)$ . In this paper we determine all curves $X_{Δ} (N)$ wi…

math.NT2025

Modular curves $X_{0} (N)$ of density degree $5$

Maarten Derickx, Wontae Hwang, Daeyeol Jeon +1

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…

Tetragonal modular quotients of X0​(N)

Tetragonal modular quotients X0∗​(N)

Morphisms on the modular curve X0​(p) and degree 6 points

Intermediate modular curves with infinitely many quartic points

Modular curves X0​(N) of density degree 5

Tetragonal modular quotients of $X_{0} (N)$

Tetragonal modular quotients $X_{0}^{*} (N)$

Morphisms on the modular curve $X_{0} (p)$ and degree $6$ points

Modular curves $X_{0} (N)$ of density degree $5$