Abbey Bourdon

activity

20132026

most citedTorsion points and Galois representations on CM elliptic curves

27 citations · 44 across the 10 of their papers we have counts for

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Showing 2021 · math.NTShow all

2 papers · 2 filters

math.NT2021

Torsion for CM elliptic curves defined over number fields of degree 2p

Abbey Bourdon, Holly Paige Chaos

For a prime number p, we characterize the groups that may arise as torsion subgroups of an elliptic curve with complex multiplication defined over a number field of degree 2p. In p…

math.NT2021

Sporadic points of odd degree on $X_{1} (N)$ coming from $Q$ -curves

Abbey Bourdon, Filip Najman

We say a closed point $x$ on a curve $C$ is sporadic if there are only finitely many points on $C$ of degree at most deg $(x)$ . In the case where $C$ is the modular curve $X_{1} (N)$ ,…

Torsion for CM elliptic curves defined over number fields of degree 2p

Sporadic points of odd degree on X1​(N) coming from Q-curves

Sporadic points of odd degree on $X_{1} (N)$ coming from $Q$ -curves