{
  "id": 3793,
  "curve_key": "195248899791141313:-86274472772667799422516385",
  "ainvs": [
    "1",
    "0",
    "0",
    "-4067685412315444",
    "99854713518280613120144"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4,
    2
  ],
  "naive_height": 119.43915464622627,
  "faltings_height": 7.52927431870206,
  "conductor": "101962964489622",
  "bad_primes": [
    "2",
    "3",
    "17",
    "23",
    "31",
    "73",
    "103",
    "199",
    "937"
  ],
  "discriminant": "11486278525950746184382695846669472625332224",
  "regulator": "17574.9530267231244555475589767386551644384889204",
  "points": [
    [
      "46221710",
      "102882418472"
    ],
    [
      "1837647806/49",
      "2451292132022/343"
    ],
    [
      "1845138584/49",
      "3006734045636/343"
    ],
    [
      "4805212443464/130321",
      "16688568501502124/47045881"
    ],
    [
      "531810729904832/14462809",
      "21021293298998847652/55002062627"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (21024,527) 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 05:27:44",
  "updated_at": "2026-10-02 05:27:44"
}