3 papers
math.NT2026
Central Values of -Functions of Twisted Modular Forms and Local Polynomials
Charlotte Dombrowsky
In this paper we study the product of two central values of -functions of a twisted modular. We show that it suffices to compute a local polynomial at a finite number of points…
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…