William E. Mahaney

collaborators

2 papers

math.NT2026

Generating sets for maximal orders in rational quaternion algebras

Kirsten Eisenträger, Eyal Z. Goren, Annamaria Iezzi +6

Given a maximal order $O$ in a rational definite quaternion algebra, and a prime $ℓ$ coprime to the discriminant of $O$ , this paper considers subsets of $\…

math.NT2024

Computing Isogenies at Singular Points of the Modular Polynomial

William E. Mahaney, Travis Morrison

In this paper we present a method which, given a singular point $(j_{1}, j_{2})$ on $Y_{0} (ℓ)$ with $j_{1}, j_{2} \neq = 0, 1728$ and an elliptic curve $E$ with $j$ -invariant $j_{1}$ , retur…