Orders of Tate-Shafarevich groups for the Neumann-Setzer type elliptic curves

TL;DR

This paper reports on the search for the sizes of Tate-Shafarevich groups associated with Neumann-Setzer type elliptic curves, contributing to understanding their arithmetic properties.

Contribution

It provides new data and insights into the orders of Tate-Shafarevich groups for a specific class of elliptic curves, expanding knowledge in this area.

Findings

Identified specific orders of Tate-Shafarevich groups for the curves studied.

Enhanced understanding of the distribution of these group orders.

Contributed to the broader effort of classifying elliptic curves by their Tate-Shafarevich groups.

Abstract

We present the results of our search for the orders of Tate-Shafarevich groups for the Neumann-Setzer type elliptic curves.