{
  "id": 4052,
  "curve_key": "2282778270183897:-109069097337306513704349",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-47557880628831",
    "126237393066908251773"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    3
  ],
  "naive_height": 106.09253710957422,
  "faltings_height": 6.478844630692677,
  "conductor": "7604705611780974",
  "bad_primes": [
    "2",
    "3",
    "19",
    "71",
    "109",
    "163",
    "199",
    "283",
    "313"
  ],
  "discriminant": "-194153279625442572994740271617441284976",
  "regulator": "15963.25592733297905136626086743789022025645139207122",
  "points": [
    [
      "4129722",
      "-519101487"
    ],
    [
      "3828834",
      "524148849"
    ],
    [
      "177492522/49",
      "419033047539/343"
    ],
    [
      "364232331/49",
      "-4646944332099/343"
    ],
    [
      "24929585058/6241",
      "29349477157251/493039"
    ],
    [
      "9360940386/2209",
      "-93197958567069/103823"
    ],
    [
      "669266211/169",
      "-191169194046/2197"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-10-07 22:24:54",
  "updated_at": "2026-10-07 22:24:54"
}