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 2014Show all

3 papers · 1 filter

math.NT2014★ 10 cited

Torsion of rational elliptic curves over cubic fields

Enrique Gonzalez-Jimenez, Filip Najman, Jose M. Tornero

Let E be an elliptic curve defined over Q. We study the relationship between the torsion subgroup E(Q)_tors and the torsion subgroup E(K)_tors, where K is a cubic number field. In…

math.NT2014★ 30 cited

Hyperelliptic modular curves $X_{0} (n)$ and isogenies of elliptic curves over quadratic fields

Peter Bruin, Filip Najman

Let $n$ be an integer such that the modular curve $X_{0} (n)$ is hyperelliptic of genus $\geq 2$ and such that the Jacobian of $X_{0} (n)$ has rank $0$ over $Q$ . We determine all p…

math.NT2014

The number of twists with large torsion of an elliptic curve

Filip Najman

For an elliptic curve $E/\Q$, we determine the maximum number of twists $E^d/\Q$ it can have such that $E^d(\Q)_{tors}\supsetneq E(\Q)[2]$. We use these results to determine the nu…

Torsion of rational elliptic curves over cubic fields

Hyperelliptic modular curves X0​(n) and isogenies of elliptic curves over quadratic fields

The number of twists with large torsion of an elliptic curve

Hyperelliptic modular curves $X_{0} (n)$ and isogenies of elliptic curves over quadratic fields