{
  "id": 3761,
  "curve_key": "231045906541201:-3443556101996881179449",
  "ainvs": [
    "1",
    "1",
    "1",
    "-4813456386275",
    "3985595334667340417"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4,
    2
  ],
  "naive_height": 99.22091260896545,
  "faltings_height": 6.163305648822921,
  "conductor": "4743333870",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "31",
    "41",
    "43",
    "263"
  ],
  "discriminant": "275267760282038614743975330201600000000",
  "regulator": "66.78282975079734102631761735268176762076916917",
  "points": [
    [
      "1699067",
      "843028046"
    ],
    [
      "2130387",
      "1842827806"
    ],
    [
      "20245827",
      "90572252926"
    ],
    [
      "4900738043/4489",
      "53484368568778/300763"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (3968,1075) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 4.",
  "created_at": "2026-10-01 19:30:04",
  "updated_at": "2026-10-01 19:30:04"
}