3 papers
math.NT2025
Evaluation of Modular Polynomials from Supersingular Elliptic Curves
Maria Corte-Real Santos, Jonathan Komada Eriksen, Antonin Leroux +2
We present several new algorithms to evaluate modular polynomials of level modulo a prime on an input . More precisely, we introduce two new generic algorithms, shari…
math.NT2024
Generalized class group actions on oriented elliptic curves with level structure
Sarah Arpin, Wouter Castryck, Jonathan Komada Eriksen +2
We study a large family of generalized class groups of imaginary quadratic orders and prove that they act freely and (essentially) transitively on the set of primitively -or…
math.NT2023
Finding Orientations of Supersingular Elliptic Curves and Quaternion Orders
Sarah Arpin, James Clements, Pierrick Dartois +3
Orientations of supersingular elliptic curves encode the information of an endomorphism of the curve. Computing the full endomorphism ring is a known hard problem, so one might con…