Lukáš Novák

collaborators

2 papers

math.NT2025

Twists arising from torsion points

Lukas Novak

Let $p$ be a prime number, $K$ a number field that contains the $p$ -th root of unity $ζ_{p}$ , $d$ a $p$ -power-free integer and $L = K (p d)$ . Let $E / K$ be an elliptic curve with…

math.NT2024

Quadratic twists of genus one curves

Lukas Novak

For a given irreducible and monic polynomial $f (x) \in Z [x]$ of degree $4$ , we consider the quadratic twists by square-free integers $q$ of the genus one quartic ${H\, :\,…