{
  "id": 2803,
  "curve_key": "189961065829730254185609695643235424481:-2617910163001562789654155796919904122679927313815460370129",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-3957522204786046962200201992567404677",
    "3029988614585142118644653464298252623281447852094930301"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    9
  ],
  "naive_height": 264.4196474467866,
  "faltings_height": 19.729679283053674,
  "conductor": "510544475190063481104630",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "29",
    "37",
    "109",
    "181",
    "1153",
    "5413",
    "185869"
  ],
  "discriminant": "770064698830246592747401904618361513963858621857072785912831417187954445444012773377922323910373201000000000",
  "regulator": "1115993.310753758589174440914213049515002690501",
  "points": [
    [
      "278740355978639028799/324",
      "2985375750394264421113834704143/5832"
    ],
    [
      "93410653214501033409/64",
      "308488186632088692174687589523/512"
    ],
    [
      "19029226654785323829049791/16982641",
      "3423877156972834911022891319624984864/69985463561"
    ],
    [
      "3580024436460833576652855286390352541290023247188591771/9288521204880385620235290175140894121",
      "35379277977384751025092882844234659759886850651086816874574493227432324517604950656/28308696043763824276611476156575255353520928521305341419"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Dujella - Petricevic (2021). Source: https://dujella.github.io/tors/z9.html (curve entry 5). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:23:07",
  "updated_at": "2026-09-26 20:23:07"
}