{
  "id": 2884,
  "curve_key": "0:-21180951741354264",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "24514990441382"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    3
  ],
  "naive_height": 75.18375733985356,
  "faltings_height": 4.322969020779426,
  "conductor": "2647618967669283",
  "bad_primes": [
    "3",
    "73",
    "103",
    "439"
  ],
  "discriminant": "-259625414739339252578861545707",
  "regulator": "39677.411082625576282731528672257402880477013088352",
  "points": [
    [
      "100092",
      "32051170"
    ],
    [
      "-6798",
      "4919434"
    ],
    [
      "-22338",
      "3656314"
    ],
    [
      "43672",
      "10383069"
    ],
    [
      "-11988",
      "4774114"
    ],
    [
      "126720",
      "45380386"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Elkies–Rogers (2004), Elliptic Curves x^3+y^3=k of High Rank, §5, k=9902523, rank ≥ 6; https://arxiv.org/abs/math/0403116",
  "created_at": "2026-09-26 20:26:47",
  "updated_at": "2026-09-26 20:26:47"
}