{
  "id": 3750,
  "curve_key": "863902107856:-697055258590306496",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-17997960580",
    "806782918984900"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4,
    2
  ],
  "naive_height": 82.45417589471646,
  "faltings_height": 4.858935730601482,
  "conductor": "88838909880",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "41",
    "43",
    "239",
    "251"
  ],
  "discriminant": "91937098974354418501883782560000",
  "regulator": "345.0721850203788458233903894338207611740142678",
  "points": [
    [
      "4190",
      "27045240"
    ],
    [
      "310110",
      "158265800"
    ],
    [
      "-10290140/169",
      "89967318030/2197"
    ],
    [
      "1543197160/14161",
      "19909434267750/1685159"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (502,215) 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 07:26:09",
  "updated_at": "2026-10-01 07:26:09"
}