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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- Last edited by John Jones on 2018-06-19 00:53:01

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- 2018-06-19 00:53:01 by John Jones (Reviewed)