{
  "id": 3748,
  "curve_key": "627694525648:-291858743511615680",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-13076969284",
    "337803830646724"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4,
    2
  ],
  "naive_height": 81.49595838283388,
  "faltings_height": 4.834337954012549,
  "conductor": "25662342552",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "19",
    "23",
    "43",
    "739"
  ],
  "discriminant": "93825450822607886814843160721664",
  "regulator": "164.2676673939887615136582023948741392622496948",
  "points": [
    [
      "-4780",
      "20005062"
    ],
    [
      "-3049756/25",
      "1355770878/125"
    ],
    [
      "-1683710/289",
      "99939681864/4913"
    ],
    [
      "6144916/49",
      "8878938678/343"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (473,266) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 4.",
  "created_at": "2026-10-01 07:07:28",
  "updated_at": "2026-10-01 07:07:28"
}