{
  "id": 6334,
  "curve_key": "0:243498312",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-281827"
  ],
  "rank_lower_bound": 3,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell",
    "cubesum"
  ],
  "naive_height": 38.62124113644939,
  "faltings_height": 1.276092670495745,
  "conductor": "91311867",
  "bad_primes": [
    "3",
    "613"
  ],
  "discriminant": "-34312168950723",
  "regulator": "78.368633344196319830333473169439805835358655",
  "points": [
    [
      "103",
      "900"
    ],
    [
      "7969",
      "711386"
    ],
    [
      "11647/169",
      "467540/2197"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Source: OEIS A060838, index n=5517, recording rank 3 for x^3+y^3=5517. The corresponding minimal model is y²+y=x³−281827.\r\n\r\nPARI/GP 2.17.4 returned exact rank bounds [3,3] and trivial torsion. All three supplied points pass exact membership. Minimal discriminant −34312168950723 = −3^5·613^4; conductor 91311867.\r\n\r\nThis is a published OEIS source recovery. ",
  "created_at": "2026-11-01 02:04:04",
  "updated_at": "2026-11-01 02:04:04"
}