I am revisiting the weak Mordell-Weil theorem, which says that $E(K)/mE(K)$ is finite, where $K$ is a number field. I am just wondering that is there a way to prove this statement for $m=2$ using Selmer group (that works for all number fields $K$)? Thanks very much.
2026-03-26 22:58:44.1774565924
Show that $E(K)/2E(K)$ is finite
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