{
  "id": 2923,
  "curve_key": "0:-282895515364822917336",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "327425365005582080"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    3
  ],
  "naive_height": 94.18321859941148,
  "faltings_height": 5.906257459075919,
  "conductor": "35361939420602864667",
  "bad_primes": [
    "3",
    "13",
    "19",
    "41",
    "139",
    "271"
  ],
  "discriminant": "-46313583688384698669118088595804334107",
  "regulator": "225635.2346235257470791601227121801251417123674234633",
  "points": [
    [
      "267748",
      "588744383"
    ],
    [
      "1235988",
      "1488490048"
    ],
    [
      "-333330",
      "538877944"
    ],
    [
      "-648774",
      "233133847"
    ],
    [
      "-422760",
      "501863680"
    ],
    [
      "5104008",
      "11545190143"
    ],
    [
      "-688974",
      "19483912"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Elkies–Rogers (2004), Elliptic Curves x^3+y^3=k of High Rank, §5, k=1144421889, rank ≥ 7; https://arxiv.org/abs/math/0403116",
  "created_at": "2026-09-26 20:28:32",
  "updated_at": "2026-09-26 20:28:32"
}