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arXiv · 1211.5833

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

René Pannekoek
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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.

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René Pannekoek. 2013-01-30. On p-torsion of p-adic elliptic curves with additive reduction. https://arxiv.org/abs/1211.5833

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