Filip Najman

activity

20102026

most citedGrowth of torsion groups of elliptic curves upon base change

38 citations · 186 across the 31 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.NT2015★ 19 cited

Torsion subgroups of rational elliptic curves over the compositum of all cubic fields

Harris B. Daniels, Alvaro Lozano-Robledo, Filip Najman +1

Let $E / Q$ be an elliptic curve and let $Q (3^{\infty})$ be the compositum of all cubic extensions of $Q$ . In this article we show that the torsion subgroup…

math.NT2015★ 2 cited

Isogenies of non-CM elliptic curves with rational $j$ -invariants over number fields

Filip Najman

We unconditionally determine $I_\Q(d)$, the set of possible prime degrees of cyclic $K$ -isogneies of elliptic curves with $\Q$-rational $j$ -invariants and without complex multiplic…

math.NT2015★ 1 cited

A criterion to rule out torsion groups for elliptic curves over number fields

Peter Bruin, Filip Najman

We present a criterion for proving that certain groups of the form $Z / m Z \oplus Z / n Z$ do not occur as the torsion subgroup of any elliptic curve over…

Torsion subgroups of rational elliptic curves over the compositum of all cubic fields

Isogenies of non-CM elliptic curves with rational j-invariants over number fields

A criterion to rule out torsion groups for elliptic curves over number fields

Isogenies of non-CM elliptic curves with rational $j$ -invariants over number fields