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Math."],"published-print":{"date-parts":[[2016]]},"abstract":"<jats:p>We study the elliptic curves in Cremona\u2019s tables that are predicted by the Birch\u2013Swinnerton-Dyer conjecture to have elements of order <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S1461157016000243_inline2\" \/><jats:tex-math>$7$<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula> in their Tate\u2013Shafarevich group. 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