Radical isogenies and modular curves. (arXiv:2210.12840v2 [math.NT] UPDATED)

This article explores the connection between radical isogenies and modular
curves. Radical isogenies are formulas designed for the computation of chains
of isogenies of fixed small degree $N$, introduced by Castryck, Decru, and
Vercauteren at Asiacrypt 2020. One significant advantage of radical isogeny
formulas over other formulas with a similar purpose is that they eliminate the
need to generate a point of order $N$ that generates the kernel of the isogeny.
While radical isogeny formulas were originally developed using elliptic …

article asiacrypt computation math modular