{
  "id": 697,
  "curve_key": "3003694572784467237209209:-4271470111922022429763719901474973773",
  "ainvs": [
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  "rank_lower_bound": 18,
  "torsion": [],
  "naive_height": 169.08565586124814,
  "faltings_height": 12.093698869360464,
  "conductor": "2957069080158769884896207843639982399333104048728029763273410",
  "bad_primes": [
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    "653",
    "5950487",
    "28927753",
    "1194717301",
    "471011383673657",
    "20238230658565181"
  ],
  "discriminant": "5124085328345167338521889632963021485511889549741022771445378607371100",
  "regulator": "105338734734199822.84879033433050214957087999078997926255718835425675722132",
  "points": [
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      "2401969544427/4",
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      "235203420903",
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      "-272670918552",
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    [
      "-249729338886",
      "70688388372800497"
    ],
    [
      "-752805780153/4",
      "-802190361087827971/8"
    ],
    [
      "83576770866",
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    [
      "572260515431",
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    [
      "-384680766549/4",
      "-802891212100993129/8"
    ],
    [
      "-479368458328398/2209",
      "-9461089968874940505121/103823"
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  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Found by a search of rational specializations of Mestre families, using finite-field scores to select fibers and rational-point searches to construct the witness. Point independence checked with the site verifier.",
  "created_at": "2026-09-10 16:08:23",
  "updated_at": "2026-09-10 16:08:23"
}