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 2016Show all

3 papers · 1 filter

math.NT2016★ 38 cited

Growth of torsion groups of elliptic curves upon base change

Enrique González-Jiménez, Filip Najman

We study how the torsion of elliptic curves over number fields grows upon base change, and in particular prove various necessary conditions for torsion growth. For a number field $…

math.NT2016

Fields of definition of elliptic curves with prescribed torsion

Peter Bruin, Filip Najman

We prove that all elliptic curves over quadratic fields with a subgroup isomorphic to $C_{16}$ , as well as all elliptic curves over cubic fields with a subgroup isomorphic to $C_2\…

math.NT2016

Tamagawa Numbers of elliptic curves with $C_{13}$ torsion over quadratic fields

Filip Najman

Let $E$ be an elliptic curve over a number field $K$ , $c_{v}$ the Tamagawa number of $E$ at $v$ , and let $c_{E} = \prod_{v} c_{v}$ . Lorenzini proved that $v_{13} (c_{E})$ is postive for all el…

Growth of torsion groups of elliptic curves upon base change

Fields of definition of elliptic curves with prescribed torsion

Tamagawa Numbers of elliptic curves with C13​ torsion over quadratic fields

Tamagawa Numbers of elliptic curves with $C_{13}$ torsion over quadratic fields