{
  "id": 3800,
  "curve_key": "254337459408836161:-128202365678174881447587841",
  "ainvs": [
    "1",
    "0",
    "0",
    "-5298697071017420",
    "148382367241514690201775"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4,
    2
  ],
  "naive_height": 120.23231508149107,
  "faltings_height": 7.768442071619953,
  "conductor": "22256740418115",
  "bad_primes": [
    "3",
    "5",
    "7",
    "17",
    "23",
    "53",
    "89",
    "281",
    "409"
  ],
  "discriminant": "9617385588037687162541537576472823716969140625",
  "regulator": "1082.81322041822863965516287146756121440790425210",
  "points": [
    [
      "-21852785/4",
      "3367319944565/8"
    ],
    [
      "139640335/4",
      "616940711165/8"
    ],
    [
      "47085151",
      "57254155927"
    ],
    [
      "59270275",
      "206226435670"
    ],
    [
      "298765615",
      "5023136335255"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (22525,2484) 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 05:31:41",
  "updated_at": "2026-10-02 05:31:41"
}