Discretisation for odd quadratic twists

Abstract

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.

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

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Cited by in corpus (1)

• Derivatives of random matrix characteristic polynomials with applications to elliptic curves