{
  "id": 3796,
  "curve_key": "219271478609479201:-98729180034580716152318801",
  "ainvs": [
    "1",
    "1",
    "1",
    "-4568155804364150",
    "114269882395884984469010"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4,
    2
  ],
  "naive_height": 119.78726095612838,
  "faltings_height": 7.909046893712163,
  "conductor": "33723363421605",
  "bad_primes": [
    "3",
    "5",
    "11",
    "13",
    "19",
    "29",
    "31",
    "61",
    "79",
    "191"
  ],
  "discriminant": "460137504509636181890275376999530333972172150625",
  "regulator": "1806.28913359673528327671176229467149873211366375",
  "points": [
    [
      "-47097750",
      "474309968410"
    ],
    [
      "-46070022",
      "476409167083"
    ],
    [
      "14075978",
      "229683057563"
    ],
    [
      "54219895",
      "161157391244"
    ],
    [
      "13310760406/225",
      "762574665512401/3375"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (22165,7076) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 5.",
  "created_at": "2026-10-02 05:29:14",
  "updated_at": "2026-10-02 05:29:14"
}