{
  "id": 3778,
  "curve_key": "4713957575298448:-233939158029408844123840",
  "ainvs": [
    "0",
    "1",
    "0",
    "-98207449485384",
    "270762881650073370756"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4,
    2
  ],
  "naive_height": 108.26791259897871,
  "faltings_height": 7.046950883892865,
  "conductor": "275622260785872",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "13",
    "29",
    "31",
    "47",
    "127",
    "1069"
  ],
  "discriminant": "28948604427520257275570820615827630107198464",
  "regulator": "1414.72956352711143236040878284757987380007020727",
  "points": [
    [
      "2918030",
      "3006216444"
    ],
    [
      "8792096",
      "9324753438"
    ],
    [
      "151078856",
      "1853046551202"
    ],
    [
      "-1841259694/361",
      "173382010778592/6859"
    ],
    [
      "-75989990/9",
      "602552117728/27"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (4371,2233) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 5.",
  "created_at": "2026-10-01 19:47:52",
  "updated_at": "2026-10-01 19:47:52"
}