On p-torsion of p-adic elliptic curves with additive reduction

Abstract

Let E be an elliptic curve with additive reduction over the p-adic numbers, and let G be the group of p-adic points on E that have good reduction. This paper gives necessary and sufficient conditions for G to contain non-trivial p-torsion.

13 pages

Cited by in corpus (2)

• On p-adic density of rational points on K3 surfaces
• On the structure of elliptic curves over finite extensions of ${\mathbb{Q}}_p$ with additive reduction