{
  "id": 3747,
  "curve_key": "1915455376:-83764163613376",
  "ainvs": [
    "0",
    "1",
    "0",
    "-39905320",
    "96935961668"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    4,
    2
  ],
  "naive_height": 64.11966367669896,
  "faltings_height": 3.1088776173887864,
  "conductor": "29636880",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "23",
    "59"
  ],
  "discriminant": "6546214887704069760000",
  "regulator": "10.178640078643147585683605996565809701586838",
  "points": [
    [
      "-6409",
      "299130"
    ],
    [
      "74126",
      "20110740"
    ],
    [
      "-7826/9",
      "9771580/27"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (105,13) 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 06:31:41",
  "updated_at": "2026-10-01 06:31:41"
}