{
  "id": 3543,
  "curve_key": "503688245913897606402931561:-12291453633949337710076688460986771893941",
  "ainvs": [
    "1",
    "0",
    "1",
    "-10493505123206200133394408",
    "14226219483736784927902566683538388306"
  ],
  "rank_lower_bound": 18,
  "torsion": [],
  "naive_height": 184.61944564226832,
  "faltings_height": 13.346743559109369,
  "conductor": "45702547177011393492705565836677121697499906505728730",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "29",
    "43",
    "197",
    "358349",
    "38323148119",
    "451112664064940562672224179"
  ],
  "discriminant": "-13479857113095764786679529928810535319724327277010920960588456985581340087500",
  "regulator": "34347094943843491.080832917735698562792540787418552140266763664758939790923",
  "points": [
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      "1462024244270",
      "-1417589944827173913"
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    [
      "1897876644890",
      "-1070921553458938158"
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      "1125934622400809517"
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      "-45734472409195/16",
      "-292350165676264739937/64"
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    [
      "10946493089435/4",
      "19602949616778955611/8"
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      "2148781854515",
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      "2825103823669773942"
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    [
      "780556202015",
      "2551669040297889717"
    ],
    [
      "35337831641435/49",
      "-909668035693710853419/343"
    ],
    [
      "-3761691327805",
      "-685858515856181463"
    ],
    [
      "-3487240431085",
      "-2900308856791734183"
    ],
    [
      "330535079555",
      "3285400879828461417"
    ],
    [
      "433391503277",
      "3124071912366458973"
    ],
    [
      "59487981906125495/6889",
      "13621419049341004350164679/571787"
    ],
    [
      "20690188936652577245/9803161",
      "37346370740170221133451921547/30693697091"
    ]
  ],
  "submitter": "Matej Jurasić",
  "history": [],
  "commentary": "Specialization at T = -5/22 of the rank-17 fibration of X1008 (equations as in curve#751).",
  "created_at": "2026-09-28 00:33:30",
  "updated_at": "2026-09-28 00:33:30"
}