{
  "id": 4027,
  "curve_key": "5831133323100231892802875936594463851200:-444478932504957616063509930668418721220875925241885964800000",
  "ainvs": [
    "0",
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    "514443208917775018592025382718077223635273061622553200000"
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  "rank_lower_bound": 12,
  "torsion": [
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  "naive_height": 274.6920900098425,
  "faltings_height": 20.686164735774554,
  "conductor": "993341250332563583452696030304878442448829037616331200",
  "bad_primes": [
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    "17",
    "23",
    "37",
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    "71",
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    "691",
    "1033",
    "1039",
    "1667",
    "5323",
    "8219",
    "10723",
    "532241"
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  "discriminant": "410503033449690779140024810381225739736406511722969674844879974202397000614807854803264254055459695730573376000000",
  "regulator": "3810687074509.9658628188241348845652191712567357795059036422969",
  "points": [
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      "16799590239602262596402092200"
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    [
      "-9568569056173752855/4",
      "225048494633436271238403400875/8"
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    [
      "6723418002353509170",
      "1263746900635249643043982200"
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    [
      "350299584754171028349/25",
      "4942311722754453942687040070007/125"
    ],
    [
      "6586687242040294924",
      "198575644315137684520162132"
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    [
      "-11781192624493600224",
      "17619792741635366603522257776"
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      "-10397897720840796930",
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    [
      "5358225326671210380",
      "4165732621979020076708443500"
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  "submitter": "dujella",
  "history": [],
  "commentary": "induced by the rational Diophantine triple {987007658792680/72335758720871, 243677597596104/1682226946997, 173319982599480/506350311046097 }",
  "created_at": "2026-10-05 14:42:29",
  "updated_at": "2026-10-05 14:42:29"
}