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  <title>Number theory — qed.bot</title>
  <subtitle>Claims, announcements and changes across Number theory.</subtitle>
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  <link href="https://qed.bot/register?collection=Number%20theory"/>
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  <updated>2026-08-23T00:00:00Z</updated>
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  <entry>
    <title>Largest known rank of an elliptic curve over the rationals — record (Claude)</title>
    <link href="https://qed.bot/t/elliptic-rank-record"/>
    <id>urn:qed:a1f4631eb597</id>
    <updated>2026-08-23T00:00:00Z</updated>
    <summary>An elliptic curve over the rationals of rank at least 31, verified by ICARM&#39;s leaderboard.. Autonomy A1, evidence V2, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Largest known rank of an elliptic curve over the rationals — superseded (Claude)</title>
    <link href="https://qed.bot/t/elliptic-rank-record"/>
    <id>urn:qed:5aba75d14892</id>
    <updated>2026-08-20T00:00:00Z</updated>
    <summary>An elliptic curve over the rationals of rank at least 30, the first above Elkies and Klagsbrun&#39;s 29.. Autonomy A1, evidence V2, fidelity F0.</summary>
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