Filip Najman

most citedCyclic isogenies of elliptic curves over fixed quadratic fields

1 citations · 1 across the 2 of their papers we have counts for

collaborators

4 papers

math.NT2026

Torsion groups of elliptic curves that appear infinitely often over septic, octic and nonic fields

Filip Najman, Marin Varivoda

We determine the sets $I^¦^{\infty} (n)$ of abelian groups that appear as torsion groups of infinitely many elliptic curves, up to $\overline \Q$-isomorphism, over number fields of deg…

math.NT2026★ 1 cited

Cyclic isogenies of elliptic curves over fixed quadratic fields

Barinder S. Banwait, Filip Najman, Oana Padurariu

Building on Mazur's 1978 work on prime degree isogenies, Kenku determined in 1981 all possible cyclic isogenies of elliptic curves over $Q$ . Although more than 40 years ha…

math.NT2024

Hyperelliptic and trigonal modular curves in characteristic $p$

Maarten Derickx, Filip Najman

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

math.NT2024

On $r$ -isogenies over $Q (I^¶_{r})$ of elliptic curves with rational $j$ -invariants

Filip Najman

The main goal of this paper is to determine for which prime numbers $r \geq 3$ can an elliptic curve~ $E$ defined over $Q$ have an $r$ -isogeny over $Q (I^¶_{r})$ . We stud…

Torsion groups of elliptic curves that appear infinitely often over septic, octic and nonic fields

Cyclic isogenies of elliptic curves over fixed quadratic fields

Hyperelliptic and trigonal modular curves in characteristic p

On r-isogenies over Q(I^¶r​) of elliptic curves with rational j-invariants

Hyperelliptic and trigonal modular curves in characteristic $p$

On $r$ -isogenies over $Q (I^¶_{r})$ of elliptic curves with rational $j$ -invariants