3 papers
math.NT2020
Computing endomorphism rings of supersingular elliptic curves and connections to pathfinding in isogeny graphs
Kirsten Eisentraeger, Sean Hallgren, Chris Leonardi +2
Computing endomorphism rings of supersingular elliptic curves is an important problem in computational number theory, and it is also closely connected to the security of some of th…
math.NT2020
Chabauty-Coleman computations on rank 1 Picard curves
Sachi Hashimoto, Travis Morrison
We provably compute the full set of rational points on 1403 Picard curves defined over with Jacobians of Mordell-Weil rank using the Chabauty-Coleman method. To ca…
math.NT2018
Cycles in the supersingular -isogeny graph and corresponding endomorphisms
Efrat Bank, Catalina Camacho-Navarro, Kirsten Eisentraeger +2
We study the problem of generating the endomorphism ring of a supersingular elliptic curve by two cycles in -isogeny graphs. We prove a necessary and sufficient condition for…