{
  "id": 3737,
  "curve_key": "63642939088:-10549716071042240",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-1325894564",
    "12210761491524"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4,
    2
  ],
  "naive_height": 74.62966266713741,
  "faltings_height": 4.253794695393879,
  "conductor": "7654310664",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "13",
    "19",
    "41",
    "409"
  ],
  "discriminant": "84771041302180102273802221824",
  "regulator": "72.60851105207944910584537310526707989987161950",
  "points": [
    [
      "-5998",
      "4466280"
    ],
    [
      "5454",
      "2267496"
    ],
    [
      "663944",
      "540196566"
    ],
    [
      "-128420/9",
      "143442026/27"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u, v) = (266, 143) 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 00:05:31",
  "updated_at": "2026-10-01 00:05:31"
}