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The Kodaira symbol of an elliptic curve \(E\) defined over a number field encodes the reduction type of \(E\) at a prime \(\mathfrak{p}\) of \(K\). It describes the combinatorics of the special fiber of the Néron model of the elliptic curve. The Néron model is obtained from the local minimal model for \(E\) at \(\mathfrak{p}\) using Tate's algorithm. For an exact definition and properties, consult a text on elliptic curves.

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  • Review status: reviewed
  • Last edited by John Jones on 2018-06-19 00:53:01
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