Semistable models of elliptic curves over residue characteristic 2

Abstract

Given an elliptic curve $E$ in Legendre form $y^2=x(x-1)(x-\lambda )$ over the fraction field of a Henselian ring $R$ of mixed characteristic $(0,2)$, we present an algorithm for determining a semistable model of $E$ over $R$ which depends only on the valuation of $\lambda$. We provide several examples along with an easy corollary concerning $2$-torsion.

arXiv comment7 pages, 5 citations. This paper assumes only an elementary knowledge of elliptic curves and discrete valuation rings. This is the version published Canadian Mathematical Bulletin. It differs from the previous version mainly in two additional references with a brief discussion of each