{
  "id": 5505,
  "curve_key": "1278354569903041:-39914883985154970845089",
  "ainvs": [
    "1",
    "0",
    "0",
    "-26632386872980",
    "46197780170860087952"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4,
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 104.35305046087504,
  "faltings_height": 6.681821584873521,
  "conductor": "9316295564730",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "127",
    "3583",
    "8863"
  ],
  "discriminant": "286965746848684048890198562949660672160000",
  "regulator": "45735.2009285213307736544411847504448549233159907",
  "points": [
    [
      "17891482",
      "72770585230"
    ],
    [
      "-215833813636/312481",
      "1400349298803653912/174676879"
    ],
    [
      "-150584/9",
      "184399308436/27"
    ],
    [
      "18465076/9",
      "11835020596/27"
    ],
    [
      "116762481248/29929",
      "6691980041688676/5177717"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (6223,2640) 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 20:04:08",
  "updated_at": "2026-10-22 20:04:08"
}