{
  "id": 3801,
  "curve_key": "35811509861981756176:-76596472037099823726017584576",
  "ainvs": [
    "0",
    "1",
    "0",
    "-746073122124619920",
    "88653323868322644159869268"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    4,
    2
  ],
  "naive_height": 135.0744030604578,
  "faltings_height": 9.316181954040461,
  "conductor": "74561461260096720",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "43",
    "47",
    "79",
    "107",
    "337",
    "593"
  ],
  "discriminant": "23182847916404503906718760019211725831688710154672640000",
  "regulator": "97214.498744627196888548219714852363052750637439192",
  "points": [
    [
      "112554426",
      "2470908229440"
    ],
    [
      "1668653691",
      "59075575093080"
    ],
    [
      "206044954/9",
      "228441081831200/27"
    ],
    [
      "9118935069/4",
      "809385179860845/8"
    ],
    [
      "107322631989/4",
      "35140894029744615/8"
    ],
    [
      "20718785609196/121",
      "94306347078088926690/1331"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (41409,25991) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 6.",
  "created_at": "2026-10-02 07:34:40",
  "updated_at": "2026-10-02 07:34:40"
}