{
  "id": 3777,
  "curve_key": "294990386601073:-4657448552142978391465",
  "ainvs": [
    "1",
    "0",
    "0",
    "-6145633054189",
    "5390564941733100104"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4,
    2
  ],
  "naive_height": 99.9538916518332,
  "faltings_height": 6.292614290012898,
  "conductor": "9144620727627",
  "bad_primes": [
    "3",
    "7",
    "11",
    "17",
    "23",
    "61",
    "71",
    "97",
    "241"
  ],
  "discriminant": "2302105467479718040170725088829955917089",
  "regulator": "6740.64460193911750505568559848700687213604373613",
  "points": [
    [
      "13690559/4",
      "39544401301/8"
    ],
    [
      "30545804",
      "168265183694"
    ],
    [
      "8814994241/4489",
      "284172772093097/300763"
    ],
    [
      "17981429096/2209",
      "2308870344582376/103823"
    ],
    [
      "702314650241/215296",
      "447211900723596343/99897344"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (4284,1633) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 5.",
  "created_at": "2026-10-01 19:47:29",
  "updated_at": "2026-10-01 19:47:29"
}