{
  "id": 6335,
  "curve_key": "0:371335752",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-429787"
  ],
  "rank_lower_bound": 3,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell",
    "cubesum"
  ],
  "naive_height": 39.46523440645434,
  "faltings_height": 1.3464254429961573,
  "conductor": "139250907",
  "bad_primes": [
    "3",
    "757"
  ],
  "discriminant": "-79797593005443",
  "regulator": "72.463676774284236470934564090973651037673583",
  "points": [
    [
      "757",
      "20817"
    ],
    [
      "757/9",
      "10963/27"
    ],
    [
      "9788767/33489",
      "30358377980/6128487"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Source: OEIS A060838, index n=6813, recording rank 3 for x^3+y^3=6813. The corresponding minimal model is y²+y=x³−429787.\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 −79797593005443 = −3^5·757^4; conductor 139250907.\r\n\r\nThis is a published OEIS source recovery. ",
  "created_at": "2026-11-01 02:05:50",
  "updated_at": "2026-11-01 02:05:50"
}