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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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• Review status: reviewed
• Last edited by John Jones on 2018-06-19 01:01:36
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