{
  "id": 3794,
  "curve_key": "1213274161224560353:-1336406011455132541198280305",
  "ainvs": [
    "1",
    "0",
    "0",
    "-25276545025511674",
    "1546766214855580207594259"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4,
    2
  ],
  "naive_height": 124.91956289238792,
  "faltings_height": 7.866639083004725,
  "conductor": "276785038234887",
  "bad_primes": [
    "3",
    "7",
    "13",
    "23",
    "37",
    "53",
    "127",
    "263",
    "673"
  ],
  "discriminant": "11615057771198854388378199957024789945997809",
  "regulator": "53407.2968675370887905650520924731287955229110746",
  "points": [
    [
      "-149800939",
      "1404224178137"
    ],
    [
      "91178189",
      "10105293914"
    ],
    [
      "322526191931/3025",
      "42021961663661864/166375"
    ],
    [
      "863450318282/9409",
      "281050704917783/912673"
    ],
    [
      "168345850701406055/1834151929",
      "852072482129938502311/78551224663283"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (33189,212) 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 05:27:55",
  "updated_at": "2026-10-02 05:27:55"
}