Supersingular Isogeny Graphs from Algebraic Modular Curves
Number Theory
2023-11-28 v3 Algebraic Geometry
Abstract
We describe and compare algorithms for computing supersingular isogeny graphs. Along the way, we obtain a formula for the trace of the adjacency matrix of a general supersingular isogeny graph, and we prove a conjecture recently posed by Nakaya.
Keywords
Cite
@article{arxiv.2303.09096,
title = {Supersingular Isogeny Graphs from Algebraic Modular Curves},
author = {Nadir Hajouji},
journal= {arXiv preprint arXiv:2303.09096},
year = {2023}
}
Comments
30 pages; Changes in V3: Added proof of general trace formula, rearranged sections, streamlined previous arguments/algorithms