{
  "id": 1555,
  "curve_key": "3176391656558689:-189056603850195256938001",
  "ainvs": [
    "1",
    "0",
    "0",
    "-66174826178306",
    "218815508200934921412"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    7
  ],
  "naive_height": 107.19266682873383,
  "faltings_height": 6.874393189733206,
  "conductor": "3463956678",
  "bad_primes": [
    "2",
    "3",
    "7",
    "13",
    "29",
    "31",
    "7057"
  ],
  "discriminant": "-2137911071088046646554459322745210424786944",
  "regulator": "46.840739502150783346612107767684649645222255",
  "points": [
    [
      "3301006",
      "6026772898"
    ],
    [
      "5185252",
      "3882944302"
    ],
    [
      "1740098116/361",
      "23578611215482/6859"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/7. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 00:54:52",
  "updated_at": "2026-09-25 00:54:52"
}