A remark on Tate's algorithm and Kodaira types
Tom 160 / 2013
Acta Arithmetica 160 (2013), 95-100 MSC: Primary 11G07. DOI: 10.4064/aa160-1-6
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.