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math.NT2018
On Conjectural Rank Parities of Quartic and Sextic Twists of Elliptic Curves
Matthew Weidner
We study the behavior under twisting of the Selmer rank parities of a self-dual prime-degree isogeny on a principally polarized abelian variety defined over a number field, subject…
math.NT2018
On cycles of pairing-friendly elliptic curves
Alessandro Chiesa, Lynn Chua, Matthew Weidner
A cycle of elliptic curves is a list of elliptic curves over finite fields such that the number of points on one curve is equal to the size of the field of definition of the next,…