A remark on Tate's algorithm and Kodaira types
Volume 160 / 2013
Acta Arithmetica 160 (2013), 95-100
MSC: Primary 11G07.
DOI: 10.4064/aa160-1-6
Abstract
We remark that Tate's algorithm to determine the minimal model of an elliptic curve can be stated in a way that characterises Kodaira types from the minimum of $v(a_i)/i$. As an application, we deduce the behaviour of Kodaira types in tame extensions of local fields.
