Discretisation for odd quadratic twists

Details Discretisation for odd quadratic twists Discretisation for odd quadratic twists

2005-09-19

arxiv.org/abs/math/0509428v1

Mathematics

Number Theory

To appear in the Proceedings of the INI Workshop on Random Matrix Theory and Elliptic Curves

Scientific paper

The discretisation problem for even quadratic twists is almost understood, with the main question now being how the arithmetic Delaunay heuristic interacts with the analytic random matrix theory prediction. The situation for odd quadratic twists is much more mysterious, as the height of a point enters the picture, which does not necessarily take integral values (as does the order of the Shafarevich-Tate group). We discuss a couple of models and present data on this question.

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