{
  "id": 3808,
  "curve_key": "76344721160880028561:-661491554336103055289041566809",
  "ainvs": [
    "1",
    "1",
    "1",
    "-1590515024185000595",
    "765615224263330609470418232"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    4,
    2
  ],
  "naive_height": 137.34537168949683,
  "faltings_height": 9.302874069713084,
  "conductor": "1399247370885655005",
  "bad_primes": [
    "3",
    "5",
    "11",
    "13",
    "17",
    "43",
    "97",
    "101",
    "107",
    "127",
    "6703"
  ],
  "discriminant": "4285524671661723608766978246273261126127899703749950625",
  "regulator": "280262.90701774347173738399540763074659716713375606",
  "points": [
    [
      "3302115657",
      "177536270271511"
    ],
    [
      "49700546736",
      "11076492682686439"
    ],
    [
      "266966902563/4",
      "137913983890909433/8"
    ],
    [
      "-5331500431685/5476",
      "15114850818814032697/405224"
    ],
    [
      "28806521901/16",
      "3912851729429011/64"
    ],
    [
      "701573209912/841",
      "107205043312834384/24389"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (94588,20855) 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 12:04:59",
  "updated_at": "2026-10-02 12:04:59"
}