Filip Najman

collaborators

2 papers

math.NT2025

Classification of torsion of elliptic curves over quartic fields

Maarten Derickx, Filip Najman

Let $E$ be an elliptic curve over a quartic field $K$ . By the Mordell-Weil theorem, $E (K)$ is a finitely generated group. We determine all the possibilities for the torsion group $…

math.NT2025

Towards a classification of isolated $j$ -invariants

Abbey Bourdon, Sachi Hashimoto, Timo Keller +5

We develop an algorithm to test whether a non-CM elliptic curve $E / Q$ gives rise to an isolated point of any degree on any modular curve of the form $X_{1} (N)$ . This builds…

Classification of torsion of elliptic curves over quartic fields

Towards a classification of isolated j-invariants

Towards a classification of isolated $j$ -invariants