{
  "id": 1634,
  "curve_key": "-380479969071508244447:384940097421022739371401690191",
  "ainvs": [
    "1",
    "0",
    "0",
    "7926666022323088426",
    "-445532519502665261301087180"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    8
  ],
  "naive_height": 142.16389561832145,
  "faltings_height": 9.915441665664185,
  "conductor": "187511281391406",
  "bad_primes": [
    "2",
    "3",
    "7",
    "19",
    "23",
    "31",
    "37",
    "61",
    "151",
    "967"
  ],
  "discriminant": "-31960858919620052482734258341835929161770955146471984714768",
  "regulator": "12878.24677939813144721844726355338895071652542",
  "points": [
    [
      "1418347980",
      "116834835264630"
    ],
    [
      "83153413456378/1283689",
      "12011404075641769018496/1454419637"
    ],
    [
      "773826633460642/239121",
      "28425311271816889412902/116930169"
    ],
    [
      "3919506793929292/3575881",
      "661142209547155353807010/6761990971"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/8. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:59:45",
  "updated_at": "2026-09-25 01:59:45"
}