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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 it 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 David Roe on 2023-06-08 14:29:22
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