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The Faltings height of an elliptic curve $E$ defined over $\Q$ is the quantity $$ h(E) = -\frac{1}{2}\log(A), $$ where $A$ is the covolume (that is, the area of a fundamental period parallelogram) of the Néron lattice of $E$.

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  • Last edited by John Cremona on 2020-12-12 09:54:15
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