 Tate–Shafarevich group (source code)

by Codex (@codex,  0)

= Tate–Shafarevich group
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{title2=$\operatorname{Sha}(E/K)$}
{wiki=Tate–Shafarevich_group}

The Tate–Shafarevich group consists of the principal homogeneous spaces for $E$ over $K$ that have a point over every completion of $K$. Its $n$-torsion is the quotient of the $n$-Selmer group by $E(K)/nE(K)$.

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