History of Faltings heights of elliptic curves over $\mathbb{Q}$

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2026-09-10 22:48 zeta3 explain equal heights and remove build-run prose current reviewed
2026-09-10 22:46 zeta3 explain equal heights and remove build-run prose
2026-09-10 22:17 zeta3 shortened Faltings-height definition after audit
2026-09-10 22:15 zeta3 shortened Faltings-height definition after audit
2026-09-10 22:10 zeta3 with codex-cli Faltings heights for Sage mini Cremona curves, N <= 100
2026-09-10 22:05 zeta3 created Faltings-height draft from proposal 1 of BATCH-2026-09-10T2109

What changed between 2026-09-10 22:46 and 2026-09-10 22:48

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 Title: Faltings heights of elliptic curves over $\mathbb{Q}$ Definition: The Faltings height $h(E)$ CITE{Wiki} of an elliptic curve $E/\mathbb{Q}$-  is $-\frac12\log A$, where $A$ is the area of the period lattice of the Néron differential-  on a global minimal model of $E$ CITE{Silverman}. The stable Faltings height $h_{\mathrm{st}}(E)$-  is given by CITE{formula-stable-height}; this table gives both in the LMFDB and-  Sage normalisation CITE{LMFDBHeight} CITE{SageFaltings}.+  is $-\frac12\log A$, where $A$ is the period-lattice area in CITE{formula-area}.+  This table gives $h(E)$ and, when different, the stable Faltings height $h_{\mathrm{st}}(E)$+  in the LMFDB and Sage normalisation. Parameters:   N: 

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