{
  "id": 1318,
  "curve_key": "220177828681:-149910493986804421",
  "ainvs": [
    "1",
    "0",
    "1",
    "-4587038098",
    "173507133935256"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    3
  ],
  "naive_height": 79.09762960830395,
  "faltings_height": 4.6178921228666425,
  "conductor": "21176639504110",
  "bad_primes": [
    "2",
    "5",
    "59",
    "67",
    "107",
    "139",
    "181",
    "199"
  ],
  "discriminant": "-6828307063690267431093394562500",
  "regulator": "1293.6962665254762687736220427413686637079556858241",
  "points": [
    [
      "169795",
      "-65582273"
    ],
    [
      "-30805",
      "-16883673"
    ],
    [
      "394765/9",
      "-203894951/27"
    ],
    [
      "-8360",
      "14539327"
    ],
    [
      "360855/4",
      "177430341/8"
    ],
    [
      "1060005/49",
      "-3154844139/343"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:31:17",
  "updated_at": "2026-09-24 17:31:17"
}