M. Derickx

activity

20132026

most citedSporadic Cubic Torsion

44 citations · 175 across the 26 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.NT2023★ 3 cited

Modular curves $X_{0} (N)$ with infinitely many quartic points

Maarten Derickx, Petar Orlić

We determine all modular curves $X_{0} (N)$ with infinitely many quartic points. To do this, we define a pairing that induces a quadratic form representing all possible degrees of a r…

math.NT2023

Hyperelliptic and trigonal modular curves in characteristic $p$

Maarten Derickx, Filip Najman

Let $X_{Δ} (N)$ be an intermediate modular curve of level $N$ , meaning that there exist (possibly trivial) morphisms $X_{1} (N) \to X_{Δ} (N) \to X_{0} (N)$ . For all such interm…

math.NT2023

Towards strong uniformity for isogenies of prime degree

Barinder S. Banwait, Maarten Derickx

Let $E$ be an elliptic curve over a number field $k$ of degree $d$ that admits a $k$ -rational isogeny of prime degree $p$ . We study the question of finding a uniform bound on $p$ t…

Modular curves X0​(N) with infinitely many quartic points

Hyperelliptic and trigonal modular curves in characteristic p

Towards strong uniformity for isogenies of prime degree

Modular curves $X_{0} (N)$ with infinitely many quartic points

Hyperelliptic and trigonal modular curves in characteristic $p$