{
  "id": 3592,
  "curve_key": "5345707744528:-12359087579122389440",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-111368911344",
    "14304536635843584"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4,
    2
  ],
  "naive_height": 87.92194519225973,
  "faltings_height": 5.000802590597332,
  "conductor": "20634411504",
  "bad_primes": [
    "2",
    "3",
    "7",
    "17",
    "47",
    "101",
    "761"
  ],
  "discriminant": "8715036023132715570830785449984",
  "regulator": "656.9602224749011432718776361889489331945015127",
  "points": [
    [
      "-179544",
      "168855960"
    ],
    [
      "207360",
      "11275488"
    ],
    [
      "50665704/121",
      "269791625544/1331"
    ],
    [
      "255629328/7921",
      "73072375867680/704969"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (761,47) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 4.",
  "created_at": "2026-09-29 06:05:14",
  "updated_at": "2026-09-29 06:05:14"
}