{
  "id": 2180,
  "curve_key": "1008766105454518720378092785143083351841:-15177760314910067762077129233684200217903956579964683427889",
  "ainvs": [
    "1",
    "0",
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    "17566852216331096945097199161461136733028723845196826852"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    8,
    2
  ],
  "naive_height": 269.42863959898955,
  "faltings_height": 20.50534070976457,
  "conductor": "552172877067842717797110",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "23",
    "31",
    "41",
    "281",
    "419",
    "479",
    "569",
    "1153"
  ],
  "discriminant": "460743701174262769908539198792865329234890207602408929929309488024368417354008778995122492348181216770418542240000",
  "regulator": "65742.560760939016343927974597783713475645486",
  "points": [
    [
      "-323768234654667598073236376174/72977240449",
      "-95528205831866792550988270101905028199626094/19714290666614207"
    ],
    [
      "14313485330700724862739929253151/16750995468804",
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      "-6081165188483001212676838107943235738339842820990/844926814805897041399"
    ]
  ],
  "submitter": "Tom Fisher",
  "history": [],
  "commentary": "Found by Dujella (2006)",
  "created_at": "2026-09-26 17:02:38",
  "updated_at": "2026-09-26 17:02:38"
}