{
  "id": 3760,
  "curve_key": "534899447966416:9414799211031749321536",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-11143738499300",
    "-10896754631522061948"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4,
    2
  ],
  "naive_height": 101.73929969230153,
  "faltings_height": 6.495696537029571,
  "conductor": "34669645505880",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "19",
    "23",
    "31",
    "47",
    "71",
    "83"
  ],
  "discriminant": "37271762456709170486230337215584300960000",
  "regulator": "558.960210470227501156768378563946564967344403851",
  "points": [
    [
      "-2628431",
      "484641740"
    ],
    [
      "-2528818",
      "1054578336"
    ],
    [
      "19555874",
      "85146775560"
    ],
    [
      "30415324",
      "166694729390"
    ],
    [
      "259900814",
      "4189628327280"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (2530,2201) 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 17:54:50",
  "updated_at": "2026-10-01 17:54:50"
}