{
  "id": 5508,
  "curve_key": "527901656802241:5171016075255870859711",
  "ainvs": [
    "1",
    "1",
    "1",
    "-10997951183380",
    "-5984976891803584348"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4,
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 101.69979337869191,
  "faltings_height": 6.531131956489071,
  "conductor": "50758437763005",
  "bad_primes": [
    "3",
    "5",
    "7",
    "29",
    "47",
    "109",
    "1063",
    "3061"
  ],
  "discriminant": "69662216746432430372914828694232486350625",
  "regulator": "5221.98569206334470796246492248765592902221092905",
  "points": [
    [
      "-599149",
      "624280974"
    ],
    [
      "-562348",
      "148149636"
    ],
    [
      "3608432",
      "1144618491"
    ],
    [
      "-16832000/9",
      "76593485596/27"
    ],
    [
      "935745437/16",
      "28576055441649/64"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (5123,4060) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 5.",
  "created_at": "2026-10-22 20:04:26",
  "updated_at": "2026-10-22 20:04:26"
}