Maarten Derickx

collaborators

3 papers

math.NT2025

Prime order torsion on elliptic curves over number fields. Part I: Asymptotics

Maarten Derickx, Michael Stoll

We study the asymptotics of the set $S (d)$ of possible prime orders of $K$ -rational points on elliptic curves over number fields $K$ of degree $d$ as $d$ tends to infinity. Assumin…

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.NT2024

Torsion subgroups of elliptic curves over quadratic fields and a conjecture of Granville

Barinder S. Banwait, Maarten Derickx

We study the problem of determining the groups that can arise as the torsion subgroup of an elliptic curve over a fixed quadratic field, building on work of Kamienny-Najman, Krumm,…