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Jan 2, 2021 at 1:08 comment added KConrad While the question you are answering asks about elliptic curves, BSD is formulated for abelian varieties, not just elliptic curves, so it's worth noting for your last paragraph that |Ш| need not have square order for general abelian varieties over number fields: wstein.org/papers/nonsquaresha/final2.pdf.
Apr 2, 2011 at 15:53 history edited Alex B. CC BY-SA 2.5
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Sep 15, 2010 at 19:02 vote accept Joel Dodge
Sep 13, 2010 at 11:59 history edited Alex B. CC BY-SA 2.5
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Sep 13, 2010 at 10:40 history answered Alex B. CC BY-SA 2.5