92 citations · 1.1k across the 51 of their papers we have counts for
4 papers · 1 filter
Constructing elliptic curves over finite fields with prescribed torsion
Andrew V. Sutherland
We present a method for constructing optimized equations for the modular curve X_1(N) using a local search algorithm on a suitably defined graph of birationally equivalent plane cu…
Structure computation and discrete logarithms in finite abelian p-groups
Andrew V. Sutherland
We present a generic algorithm for computing discrete logarithms in a finite abelian p-group H, improving the Pohlig-Hellman algorithm and its generalization to noncyclic groups by…
Hyperelliptic curves, L-polynomials, and random matrices
Kiran S. Kedlaya, Andrew V. Sutherland
We analyze the distribution of unitarized L-polynomials Lp(T) (as p varies) obtained from a hyperelliptic curve of genus g <= 3 defined over Q. In the generic case, we find experim…
Computing L-series of hyperelliptic curves
Kiran S. Kedlaya, Andrew V. Sutherland
We discuss the computation of coefficients of the L-series associated to a hyperelliptic curve over Q of genus at most 3, using point counting, generic group algorithms, and p-adic…