{
  "id": 1577,
  "curve_key": "406786382264586097:-260203808073399282523169929",
  "ainvs": [
    "1",
    "0",
    "0",
    "-8474716297178877",
    "301161814193541330007281"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    9
  ],
  "naive_height": 121.64701486601346,
  "faltings_height": 7.951158491148289,
  "conductor": "64631018298",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "19",
    "31",
    "109",
    "2179"
  ],
  "discriminant": "-227418820069170773128669674352578474118539296256",
  "regulator": "254.45559246791896913039497830139621089221012",
  "points": [
    [
      "-4802152008/361",
      "4400197847688795/6859"
    ],
    [
      "6234364986",
      "492196479706815"
    ],
    [
      "353824722096/2809",
      "165250864406606043/148877"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/9. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:21:19",
  "updated_at": "2026-09-25 01:21:19"
}