12 citations · 28 across the 16 of their papers we have counts for
19 papers
Supersingular isogeny graphs and Hecke modules with level structure
Leonardo Colò, David Kohel
We study supersingular isogeny graphs with level structure and their associated Galois representations.
Weber modular curves and modular isogenies
Leonardo Colò, David Kohel
We study the modular curves defined by Weber functions, and associated modular polynomials, action of , and parametrizations of elliptic curves with a vi…
On Sato--Tate distributions, extremal traces, and real multiplication in genus 2
David Kohel, Yih-Dar Shieh
The vertical Sato--Tate conjectures gives expected trace distributions for for families of curves. We develop exact expression for the distribution associated to degree- represe…
Orienting supersingular isogeny graphs
Leonardo Colò, David Kohel
We introduce a category of -orientedsupersingularellipticcurves and derive properties of the associated oriented and nonoriented -isogeny supersingular isogeny g…
Twisted -normal form for elliptic curves
David Kohel
We introduce the twisted -normal form for elliptic curves, deriving in particular addition algorithms with complexity and doubling algor…
Arithmetic statistics of Galois groups
David Kohel
We develop a computational framework for the statistical characterization of Galois characters with finite image, with application to characterizing Galois groups and establishing…