%0 Journal Article
%T Nontorsion Points of Low Height on Elliptic Curves over Quadratic Fields
%A Graeme Taylor
%J Mathematics
%D 2011
%I arXiv
%X We give examples of points with particularly low height on elliptic curves over quadratic fields, recovered by a search over elliptic divisibility sequences. The smallest example identified satisfies dh(P)=0.0077127...: improving on the previous smallest for curves over quadratic fields of dh(P)=0.0194426... given by Everest and Ward; and comparable with some of the examples of smallest height on curves over Q tabulated by Elkies.
%U http://arxiv.org/abs/1111.2475v1