{
  "id": 1324,
  "curve_key": "32736016:-48244963718080",
  "ainvs": [
    "0",
    "1",
    "0",
    "-682000",
    "55838851044"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "naive_height": 63.01462511873158,
  "faltings_height": 3.3088850191152304,
  "conductor": "22378025224048",
  "bad_primes": [
    "2",
    "13",
    "17",
    "103",
    "127",
    "149",
    "191"
  ],
  "discriminant": "-1346956853422402953223168",
  "regulator": "2488.874981879071207204946826428858944004590839943670",
  "points": [
    [
      "1864",
      "247078"
    ],
    [
      "-8",
      "236314"
    ],
    [
      "4074",
      "347412"
    ],
    [
      "-3544",
      "117286"
    ],
    [
      "11614",
      "1270672"
    ],
    [
      "3674/25",
      "29512132/125"
    ],
    [
      "-2009/9",
      "6388226/27"
    ]
  ],
  "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 17:32:18",
  "updated_at": "2026-09-24 17:32:18"
}