Travis Morrison

collaborators

Showing math.NTShow all

3 papers · 1 filter

math.NT2026

The SEA algorithm for endomorphisms of supersingular elliptic curves

Travis Morrison, Lorenz Panny, Jana SotÃ¡kovÃ¡ +1

For a prime $p > 3$ and a supersingular elliptic curve $E$ defined over $F_{p^{2}}$ with $j (E) \in / {0, 1728}$ , consider an endomorphism $I^\pm$ of $E$ represented as a…

math.NT2025

Zeta functions of abstract isogeny graphs and modular curves

Jun Bo Lau, Travis Morrison, Eli Orvis +2

We introduce a ``non-orientable'' variation of Serre's definition of a graph, which we call an abstract isogeny graph. These objects capture the combinatorics of the graphs $G(p,\e…

math.NT2025

Towards a classification of isolated $j$ -invariants

Abbey Bourdon, Sachi Hashimoto, Timo Keller +5

We develop an algorithm to test whether a non-CM elliptic curve $E / Q$ gives rise to an isolated point of any degree on any modular curve of the form $X_{1} (N)$ . This builds…

The SEA algorithm for endomorphisms of supersingular elliptic curves

Zeta functions of abstract isogeny graphs and modular curves

Towards a classification of isolated j-invariants

Towards a classification of isolated $j$ -invariants