%0 Journal Article
%T Congruences of models of elliptic curves
%A Qing Liu
%A Huajun Lu
%J Mathematics
%D 2012
%I arXiv
%R 10.1112/jlms/jdt049
%X Let O_K be a discrete valuation ring with field of fractions K and perfect residue field. Let E be an elliptic curve over K, let L/K be a finite Galois extension and let O_L be the integral closure of O_K in L. Denote by X' the minimal regular model of E_L over O_L. We show that the special fibers of the minimal Weierstrass model and the minimal regular model of E over O_K are determined by the infinitesimal fiber X'_m together with the action of Gal(L/K), when m is big enough (depending on the minimal discriminant of E and the different of L/K).
%U http://arxiv.org/abs/1207.0569v3