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Sep 20, 2023 at 18:50 comment added Stanley Yao Xiao One suggestion is as follows. Curves with $j$-invariant equal to 1728 tend to have very large 2-Selmer groups, and no bias when it comes to 3-Selmer. Comparing the two will give you good estimates for Sha.
Sep 20, 2023 at 14:04 history asked Duality CC BY-SA 4.0