{
  "id": 3799,
  "curve_key": "50085050501834881:-11208878753833628675470529",
  "ainvs": [
    "1",
    "1",
    "1",
    "-1043438552121560",
    "12973238863652488323737"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4,
    2
  ],
  "naive_height": 115.35749689588935,
  "faltings_height": 7.070963426391913,
  "conductor": "13531221841830",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "89",
    "97",
    "167",
    "239"
  ],
  "discriminant": "867487453425269964881026933566195360000",
  "regulator": "1167.55033331774701603927086054450254048478333292",
  "points": [
    [
      "17743967",
      "6711174041"
    ],
    [
      "20532717",
      "14309290741"
    ],
    [
      "28606797",
      "80819749021"
    ],
    [
      "100018393/9",
      "1415701770527/27"
    ],
    [
      "69390085707/3721",
      "-522166005779/226981"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (14960,97) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 5.",
  "created_at": "2026-10-02 05:31:18",
  "updated_at": "2026-10-02 05:31:18"
}