{
  "id": 1450,
  "curve_key": "221048981404694418969:-3286492903281596948779373907453",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-4605187112597800395",
    "3803811231801293246644095825"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    6,
    2
  ],
  "naive_height": 140.53474795850536,
  "faltings_height": 9.240187465464487,
  "conductor": "21759793110",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "17",
    "31",
    "179",
    "233"
  ],
  "discriminant": "2251048769197861753239269491517524242750496940062500",
  "regulator": "64.1342108378572994172102669961438679850515",
  "points": [
    [
      "3494873764584/2809",
      "46920283955923635/148877"
    ],
    [
      "455270691195/361",
      "-9297372929542290/6859"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/6+Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 23:54:18",
  "updated_at": "2026-09-24 23:54:18"
}