{
  "id": 3795,
  "curve_key": "110516279108747473:-36739963284425345115431225",
  "ainvs": [
    "1",
    "1",
    "1",
    "-2302422481432239",
    "42523104693927374768316"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4,
    2
  ],
  "naive_height": 117.73181768180623,
  "faltings_height": 7.390376169125642,
  "conductor": "716634354334569",
  "bad_primes": [
    "3",
    "11",
    "31",
    "43",
    "47",
    "53",
    "97",
    "191",
    "353"
  ],
  "discriminant": "2388123121079298731910956742190691881217889",
  "regulator": "55455.3221645532119277705131817066126934621532059",
  "points": [
    [
      "227912638/9",
      "576919894090/27"
    ],
    [
      "3339606488/121",
      "1187080045740/1331"
    ],
    [
      "28418537553/1024",
      "11626234677321/32768"
    ],
    [
      "10094044824621/354025",
      "1557001260758978859/210644875"
    ],
    [
      "172631772731634801/6176702464",
      "1074364749310654224322185/485439400050688"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (18236,473) 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 05:28:41",
  "updated_at": "2026-10-02 05:28:41"
}