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math.NT2023
On elements of prescribed norm in maximal orders of a quaternion algebra
Eyal Z. Goren, Jonathan R. Love
Let be a maximal order in the quaternion algebra over ramified at and . We prove two theorems that allow us to recover the structure of $\mat…
math.NT2019
Supersingular Curves With Small Non-integer Endomorphisms
Jonathan Love, Dan Boneh
We introduce a special class of supersingular curves over , characterized by the existence of non-integer endomorphisms of small degree. A number of properties of…