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On $p$-degree of elliptic curves. (arXiv:1701.08822v2 [math.NT] UPDATED)

来源于:arXiv
In this note we investigate the $p$-degree function of elliptic curves over the field $\mathbb{Q}_p$ of $p$-adic numbers. The $p$-degree measures the least complexity of a non-zero $p$-torsion point on an elliptic curve. We prove some properties of this function and compute it explicitly in some special cases. 查看全文>>