{
  "id": 4194,
  "curve_key": "743649986336006756845489:-565705230516551605165540711982786537",
  "ainvs": [
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  "rank_lower_bound": 18,
  "torsion": [],
  "naive_height": 164.89757228561803,
  "faltings_height": 11.72355297653603,
  "conductor": "387757907717933562317496501686118091598334832547665790460690",
  "bad_primes": [
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    "3",
    "5",
    "277",
    "65203",
    "48796859",
    "14665612089005521086866580401535799189085387"
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  "discriminant": "52793642404020681160431958900926731733928549719590546943645022617600",
  "regulator": "143095283691347070.30568903090118902892094945848209897345463230032550469838",
  "points": [
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      "43475911693234559/192721",
      "-7864228058403603364424280/84604519"
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      "118871005199",
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      "1020122145999008634347687620991/373004257603155025",
      "-1029283731742162017012169589129134729193571624/227808898176722814318993625"
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      "1061040878159",
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    [
      "1129536108303",
      "-1193430863427625448"
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      "268173773903",
      "-125643729758388456"
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    [
      "2296882745662031/9409",
      "-97533065805894404853480/912673"
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    [
      "-173712416164969/1225",
      "16009980711844980216/42875"
    ],
    [
      "34842090373271/121",
      "-188557984063967858232/1331"
    ]
  ],
  "submitter": "Andrii Prokhorenkov",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-10-12 04:13:19"
    }
  ],
  "commentary": "Mestre split-sextic roots (0, 13, 1568, 1581, 1700, 1756), primitive shift T=89/2.",
  "created_at": "2026-10-12 04:10:57",
  "updated_at": "2026-10-12 04:13:19"
}