92 citations · 1.1k across the 51 of their papers we have counts for
6 papers · 1 filter
Torsion subgroups of elliptic curves over quintic and sextic number fields
Maarten Derickx, Andrew V. Sutherland
Let denote the set of finite abelian groups that occur infinitely often as the torsion subgroup of an elliptic curve over a number field of degree . The sets $Φ^\i…
Fast Jacobian arithmetic for hyperelliptic curves of genus 3
Andrew V. Sutherland
We consider the problem of efficient computation in the Jacobian of a hyperelliptic curve of genus 3 defined over a field whose characteristic is not 2. For curves with a rational…
Computing L-series of geometrically hyperelliptic curves of genus three
David Harvey, Maike Massierer, Andrew V. Sutherland
Let C/Q be a curve of genus three, given as a double cover of a plane conic. Such a curve is hyperelliptic over the algebraic closure of Q, but may not have a hyperelliptic model o…
Modular curves of prime-power level with infinitely many rational points
Andrew V. Sutherland, David Zywina
For each open subgroup of containing with full determinant, let denote the modular curve that loosely parametrizes elliptic…
Sato-Tate Distributions
Andrew V. Sutherland
In this expository article we explore the relationship between Galois representations, motivic L-functions, Mumford-Tate groups, and Sato-Tate groups, and we give an explicit formu…
A database of genus 2 curves over the rational numbers
Andrew R. Booker, Jeroen Sijsling, Andrew V. Sutherland +2
We describe the construction of a database of genus 2 curves of small discriminant that includes geometric and arithmetic invariants of each curve, its Jacobian, and the associated…