{
  "id": 3455,
  "curve_key": "338638836928:-193858147106467840",
  "ainvs": [
    "0",
    "1",
    "0",
    "-7054975769",
    "224370503788711"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    2
  ],
  "naive_height": 79.64459999584508,
  "faltings_height": 4.523766172734248,
  "conductor": "59674364161385812544",
  "bad_primes": [
    "2",
    "17",
    "89",
    "271",
    "409",
    "463",
    "7937"
  ],
  "discriminant": "725031681347828697135699267584",
  "regulator": "490528.55791061248932786212342989478627916883842226542859",
  "points": [
    [
      "5221",
      "13699592"
    ],
    [
      "35031",
      "4496432"
    ],
    [
      "84943",
      "15427160"
    ],
    [
      "-196187/4",
      "170159545/8"
    ],
    [
      "-1009",
      "15214728"
    ],
    [
      "53730",
      "650671"
    ],
    [
      "3333643",
      "6084741320"
    ],
    [
      "67009",
      "7246540"
    ],
    [
      "6901530/169",
      "4592437273/2197"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-27 05:37:52",
  "updated_at": "2026-09-27 05:37:52"
}