A remark on Tate's algorithm and Kodaira types

Volume 160 / 2013

Tim Dokchitser, Vladimir Dokchitser 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.


  • Tim DokchitserDepartment of Mathematics
    University of Bristol
    University Walk
    Bristol BS8 1TW, United Kingdom
  • Vladimir DokchitserEmmanuel College
    Cambridge CB2 3AP, United Kingdom

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