Showing 2025Show all
2 papers · 1 filter
math.NT2025
On the Elliptic Curve over Quadratic Extensions
Charlotte Dombrowsky
We study the rank of the modular curve over quadratic extensions. Assuming the Birch and Swinnerton-Dyer Conjecture, we show that the rank over is…
math.NT2025
Experimental investigations on Lehmer's conjecture for elliptic curves
Sven Cats, John Michael Clark, Charlotte Dombrowsky +3
In this short note, we give a method for computing a non-torsion point of smallest canonical height on a given elliptic curve over all number fields of a fixed degre…