92 citations · 1.1k across the 51 of their papers we have counts for
5 papers · 2 filters
Sato-Tate groups of some weight 3 motives
Francesc Fité, Kiran S. Kedlaya, Andrew V. Sutherland
We establish the group-theoretic classification of Sato-Tate groups of self-dual motives of weight 3 with rational coefficients and Hodge numbers h^{3,0} = h^{2,1} = h^{1,2} = h^{0…
Isogeny volcanoes
Andrew V. Sutherland
The remarkable structure and computationally explicit form of isogeny graphs of elliptic curves over a finite field has made them an important tool for computational number theoris…
Sato-Tate distributions of twists of y^2=x^5-x and y^2=x^6+1
Francesc Fité, Andrew V. Sutherland
We determine the limiting distribution of the normalized Euler factors of an abelian surface A defined over a number field k when A is isogenous to the square of an elliptic curve…
On the evaluation of modular polynomials
Andrew V. Sutherland
We present two algorithms that, given a prime ell and an elliptic curve E/Fq, directly compute the polynomial Phi_ell(j(E),Y) in Fq[Y] whose roots are the j-invariants of the ellip…
Deterministic elliptic curve primality proving for a special sequence of numbers
Alexander Abatzoglou, Alice Silverberg, Andrew V. Sutherland +1
We give a deterministic algorithm that very quickly proves the primality or compositeness of the integers N in a certain sequence, using an elliptic curve E/Q with complex multipli…