{
  "id": 3744,
  "curve_key": "2427197968:-117127540859840",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-50566624",
    "135581138944"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    4,
    2
  ],
  "naive_height": 64.83000998813864,
  "faltings_height": 3.2997689109945925,
  "conductor": "6893904",
  "bad_primes": [
    "2",
    "3",
    "31",
    "41",
    "113"
  ],
  "discriminant": "335917957430991045279744",
  "regulator": "90.221328264160824756992231893376758069096090",
  "points": [
    [
      "-7823",
      "228780"
    ],
    [
      "-4576",
      "520704"
    ],
    [
      "-169790192/29929",
      "2535681299760/5177717"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (113,31) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 3.",
  "created_at": "2026-10-01 06:30:22",
  "updated_at": "2026-10-01 06:30:22"
}