{
  "id": 4693,
  "curve_key": "0:49020185367896832",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-56736325657288"
  ],
  "rank_lower_bound": 10,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 76.86201710895669,
  "faltings_height": 4.46282400153802,
  "conductor": "28971095841808529447047634496",
  "bad_primes": [
    "2",
    "3",
    "2969",
    "7417",
    "322057"
  ],
  "discriminant": "-1390612600406809413458286455808",
  "regulator": "450593448.4811853856431818934478113367841228779422001150070",
  "points": [
    [
      "39398",
      "2101748"
    ],
    [
      "41234",
      "3656704"
    ],
    [
      "46649",
      "6691631"
    ],
    [
      "55817",
      "10824215"
    ],
    [
      "56338",
      "11048928"
    ],
    [
      "71618",
      "17623912"
    ],
    [
      "94342",
      "27981180"
    ],
    [
      "173074",
      "71607456"
    ],
    [
      "322054",
      "182609724"
    ],
    [
      "381634",
      "235639896"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Historical rank-10 Mordell curve y^2 = x^3 - 56736325657288, attributed to P. Llorente and J. Quer (1988), On the 3-Sylow subgroup of the class group of quadratic fields, Mathematics of Computation 50, 321–333, and documented in Tom Womack's 2003 thesis.",
  "created_at": "2026-10-20 20:45:56",
  "updated_at": "2026-10-20 20:45:56"
}