Abbey Bourdon

activity

20152020

most citedAnatomy of torsion in the CM case

3 citations · 6 across the 2 of their papers we have counts for

collaborators

3 papers

math.NT2020★ 3 cited

Odd degree isolated points on $X_{1} (N)$ with rational $j$ -invariant

Abbey Bourdon, David R. Gill, Jeremy Rouse +1

Let $C$ be a curve defined over a number field $k$ . We say a closed point $x \in C$ of degree $d$ is isolated if it does not belong to an infinite family of degree $d$ points parame…

math.NT2019

Torsion points and isogenies on CM elliptic curves

Abbey Bourdon, Pete L. Clark

Let $O$ be an order in the imaginary quadratic field $K$ . For positive integers $M ∣ N$ , we determine the least degree of an $O$ -CM point on the modular curv…

math.NT2015★ 3 cited

Anatomy of torsion in the CM case

Abbey Bourdon, Pete L. Clark, Paul Pollack

Let $T_{CM} (d)$ denote the maximum size of a torsion subgroup of a CM elliptic curve over a degree $d$ number field. We initiate a systematic study of the asymptotic behav…

Odd degree isolated points on X1​(N) with rational j-invariant

Torsion points and isogenies on CM elliptic curves

Anatomy of torsion in the CM case

Odd degree isolated points on $X_{1} (N)$ with rational $j$ -invariant