{
  "id": 1469,
  "curve_key": "57395648641:-13535813352938689",
  "ainvs": [
    "1",
    "0",
    "0",
    "-1195742680",
    "15666350994752"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    8
  ],
  "naive_height": 74.31970298925091,
  "faltings_height": 4.078186668654627,
  "conductor": "2607990",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "1129"
  ],
  "discriminant": "3390031298656577628900000000",
  "regulator": "4.15846994338320060458326699704362080844498",
  "points": [
    [
      "-1846",
      "4227908"
    ],
    [
      "32174",
      "3224318"
    ]
  ],
  "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 00:13:18",
  "updated_at": "2026-09-25 00:13:18"
}