%0 Journal Article
%T Ranks of elliptic curves in families of quadratic twists
%A Karl Rubin
%A Alice Silverberg
%J Mathematics
%D 1999
%I arXiv
%X We show that the unboundedness of the ranks of the quadratic twists of an elliptic curve is equivalent to the divergence of certain infinite series.
%U http://arxiv.org/abs/math/9912249v1