John Cullinan

collaborators

Showing math.NTShow all

2 papers · 1 filter

math.NT2025

The probability of isomorphic group structures of isogenous elliptic curves over finite fields

John Cullinan, Nathan Kaplan

Let l be a prime number and let E and E' be l-isogenous elliptic curves defined over Q. In this paper we determine the proportion of primes p for which E(F_p) is isomorphic to E'(F…

math.NT2024

Tamagawa Numbers of Elliptic Curves with an $ℓ$ -isogeny

Alexander Barrios, John Cullinan

Let $ℓ$ be an odd prime, and suppose $E$ is an elliptic curve defined over the rational numbers $Q$ . If $E$ has an $ℓ$ -torsion point, then there has been significant…

The probability of isomorphic group structures of isogenous elliptic curves over finite fields

Tamagawa Numbers of Elliptic Curves with an ℓ-isogeny

Tamagawa Numbers of Elliptic Curves with an $ℓ$ -isogeny