{
  "id": 1566,
  "curve_key": "-124904792818847:-3839373014623839304849",
  "ainvs": [
    "1",
    "0",
    "0",
    "2602183183726",
    "4443718983774338580"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    8
  ],
  "naive_height": 99.39919205740335,
  "faltings_height": 6.354636508340217,
  "conductor": "2434962642",
  "bad_primes": [
    "2",
    "3",
    "7",
    "31",
    "67",
    "103",
    "271"
  ],
  "discriminant": "-9658246936976248782528355723445535041808",
  "regulator": "1128.8556880688180601983943873146870368336471",
  "points": [
    [
      "318307298628/299209",
      "474716569783710990/163667323"
    ],
    [
      "-36064531482/249001",
      "250485613337439678/124251499"
    ],
    [
      "1499319286/961",
      "104462860645126/29791"
    ]
  ],
  "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 01:10:18",
  "updated_at": "2026-09-25 01:10:18"
}