A **local minimal model** for an elliptic curve \(E\) defined over a number field \(K\) at a prime \(\mathfrak{p}\) of \(K\) is a Weierstrass equation for \(E\) all of whose coefficients are integral at \(\mathfrak{p}\), and whose discriminant has minimal valuation at \(\mathfrak{p}\) among all such equations.

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- Last edited by John Jones on 2018-06-19 01:01:36

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- 2018-06-19 01:01:36 by John Jones (Reviewed)