%0 Journal Article
%T Period and index of genus one curves over number fields
%A Shahed Sharif
%J Mathematics
%D 2008
%I arXiv
%X The period of a curve is the smallest positive degree of Galois-invariant divisor classes. The index is the smallest positive degree of rational divisors. We construct examples of genus one curves with prescribed period and index over certain number fields.
%U http://arxiv.org/abs/0810.5760v1