{
  "id": 1333,
  "curve_key": "7667221696:-671090560225280",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-159733785",
    "776778430041"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "naive_height": 68.28066047015245,
  "faltings_height": 3.431496856556895,
  "conductor": "54381804383424",
  "bad_primes": [
    "2",
    "3",
    "7",
    "31",
    "97",
    "113",
    "193",
    "617"
  ],
  "discriminant": "211207675977310232973312",
  "regulator": "1843.503494542389652047750500001027242516695994830532",
  "points": [
    [
      "1163",
      "769792"
    ],
    [
      "7425",
      "6696"
    ],
    [
      "49275",
      "10608696"
    ],
    [
      "3333",
      "530472"
    ],
    [
      "6960",
      "46221"
    ],
    [
      "4461",
      "391104"
    ],
    [
      "14121",
      "1156176"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:33:50",
  "updated_at": "2026-09-24 17:33:50"
}