Sonny Arora

most citedConstructing Picard curves with complex multiplication using the Chinese Remainder Theorem

2 citations · 4 across the 2 of their papers we have counts for

collaborators

2 papers

math.NT2018★ 2 cited

Constructing Picard curves with complex multiplication using the Chinese Remainder Theorem

Sonny Arora, Kirsten Eisentraeger

We give a new algorithm for constructing Picard curves over a finite field with a given endomorphism ring. This has important applications in cryptography since curves of genus 3 a…

math.NT2016★ 2 cited

The twisting Sato-Tate group of the curve $y^{2} = x^{8} - 14 x^{4} + 1$

Sonny Arora, Victoria Cantoral-Farfán, Aaron Landesman +2

We determine the twisting Sato-Tate group of the genus $3$ hyperelliptic curve $y^{2} = x^{8} - 14 x^{4} + 1$ and show that all possible subgroups of the twisting Sato-Tate group arise…

Constructing Picard curves with complex multiplication using the Chinese Remainder Theorem

The twisting Sato-Tate group of the curve y2=x8−14x4+1

The twisting Sato-Tate group of the curve $y^{2} = x^{8} - 14 x^{4} + 1$