{
  "id": 3797,
  "curve_key": "27141387482101153:-3205332264675769064120465",
  "ainvs": [
    "1",
    "1",
    "1",
    "-565445572543774",
    "3709875070735373782826"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4,
    2
  ],
  "naive_height": 113.519508513461,
  "faltings_height": 7.485605543938521,
  "conductor": "18837563596761",
  "bad_primes": [
    "3",
    "7",
    "13",
    "19",
    "23",
    "29",
    "31",
    "37",
    "47",
    "101"
  ],
  "discriminant": "5624815709957510255480734201095247126829130609",
  "regulator": "5220.39959026273334076127896009804619435662994367",
  "points": [
    [
      "-26550964",
      "2421794829"
    ],
    [
      "47443486",
      "289239081919"
    ],
    [
      "-212817286/25",
      "11115315882903/125"
    ],
    [
      "-41553403/16",
      "4597791529263/64"
    ],
    [
      "19961250874/2809",
      "1058119652275143/148877"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (13547,6956) 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 05:29:59",
  "updated_at": "2026-10-02 05:29:59"
}