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For an elliptic curve defined over $\Q$ of rank $0$ or $1$, the analytic order of Ш is known to be rational and can been computed exactly. For curves of rank at least $2$ it is not known to be rational, but in all the cases where it has been computed is is close to a square integer, as predicted by the Birch and Swinnerton-Dyer conjecture; in these cases we display the rounded value.

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• Review status: reviewed
• Last edited by Andrew Sutherland on 2020-10-13 18:03:28
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