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The minimal discriminant (or minimal discriminant ideal) of an elliptic curve $$E$$ over a number field $$K$$ is the ideal $$\mathfrak{D}_{min}$$ of the ring of integers of $$K$$ given by $\mathfrak{D}_{min} = \prod_{\mathfrak{p}}\mathfrak{p}^{e_{\mathfrak{p}}},$ where the product is over all primes $\mathfrak{p}$ of $K$, and $$\mathfrak{p}^{e_{\mathfrak{p}}}$$ is the local minimal discriminant of $$E$$ at $$\mathfrak{p}$$.

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• Review status: reviewed
• Last edited by John Jones on 2018-06-19 20:12:29
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