{
  "id": 3544,
  "curve_key": "2594414923678258963278946973536:-4164430189197508535078572304968674477789922784",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-54050310909963728401644728615",
    "4819942348608245487926058303845433045684912"
  ],
  "rank_lower_bound": 16,
  "torsion": [
    2
  ],
  "naive_height": 210.09274145424465,
  "faltings_height": 15.328576200795773,
  "conductor": "6431096057258181075868490059406440855350716841273480",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "37",
    "59",
    "61",
    "73",
    "79",
    "89",
    "107",
    "131",
    "157",
    "179",
    "223",
    "1033",
    "1193",
    "12203",
    "22433",
    "47581",
    "4672963"
  ],
  "discriminant": "69733207919230225346859893902227312799325722773611271024930019201766848964603989218000",
  "regulator": "4473014018819502.685015379771718422326321943835741636951753147834881527",
  "points": [
    [
      "126613958612677",
      "78605709477053359031"
    ],
    [
      "126703101785369",
      "75172124935048954635"
    ],
    [
      "127367562748612",
      "43655063643097152446"
    ],
    [
      "141015680201497",
      "46446838444668572939"
    ],
    [
      "89333423370509",
      "839264499485542116945"
    ],
    [
      "-268323272731651",
      "65775269567203584255"
    ],
    [
      "101620337991364",
      "613786223282860999490"
    ],
    [
      "163481592273269",
      "594102903140805699015"
    ],
    [
      "169316853158624",
      "722718932104725787980"
    ],
    [
      "171276106322817",
      "766085213810566234941"
    ],
    [
      "20292213025009",
      "1931708500122117493805"
    ],
    [
      "185429009645284",
      "1083153967444350230330"
    ],
    [
      "200312515207769",
      "1424973360234786706485"
    ],
    [
      "366662066402957",
      "5856294437655705405999"
    ],
    [
      "-125153095971811",
      "3102288821269058197665"
    ],
    [
      "2763673135308193",
      "144789750118517665822045"
    ]
  ],
  "submitter": "wgxli",
  "history": [],
  "commentary": "Construction adapted from S. Kihara, Proc. Japan Acad., 77, Ser. A (2001).\r\nParameters (a, b, c, u) = (408, 1129, 1166, 556).\r\n\r\nWith apologies to @mathandcobb!",
  "created_at": "2026-09-28 01:05:09",
  "updated_at": "2026-09-28 01:05:09"
}