Higher Descent on Pell Conics III. The First 2-Descent

Abstract

In this articel we describe the first 2-descent on Pell conics, and compute the associated 2-part of the Tate-Shafarevich group.

20 pages

References in corpus (1)

• Families of noncongruent numbers

Cited by in corpus (3)

• Conics - a Poor Man's Elliptic Curves
• Higher Descent on Pell Conics I. From Legendre to Selmer
• Higher Descent on Pell Conics II. Two Centuries of Missed Opportunities