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Silverman's book, the arithmetic of elliptic curves, p.399, $E(K)/\hat{\phi}(E'(K))\cong \Bbb{Z}/2\Bbb{Z}$

We use the exact sequence (Theorem 4.9) \begin{align*} 0\to \frac{E(\Bbb Q)}{\widehat{\phi}E'(\Bbb Q)}\to \Bbb Q(S, 2)\to \operatorname{WC}(E'/\Bbb Q)[\phi] \end{align*} In the paragraph above the ...
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