{
  "id": 6342,
  "curve_key": "0:22874657551488",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-26475298092"
  ],
  "rank_lower_bound": 4,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell",
    "cubesum"
  ],
  "naive_height": 61.52210151310264,
  "faltings_height": 3.1844977018835157,
  "conductor": "26475298092",
  "bad_primes": [
    "2",
    "3",
    "17",
    "307"
  ],
  "discriminant": "-302806688714031819080448",
  "regulator": "2927.873898568321796295533077871999268172991797",
  "points": [
    [
      "46357",
      "9979649"
    ],
    [
      "20569/4",
      "2647261/8"
    ],
    [
      "38989/9",
      "6322051/27"
    ],
    [
      "81193/16",
      "20659285/64"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Published-source replay of OEIS A309964 at k = 62628 (Seiichi Manyama and Maksym Voznyy), not an original discovery. Starting from y^2 = x^3 - 432*k^2, I obtained the minimal model [0,0,0,0,-26475298092]. PARI/GP 2.17.4 returned rank bounds [4,4] and four rational points; all four were transported and checked exactly on this model. The minimal discriminant is -302806688714031819080448 = -2^8*3^13*17^4*307^4, the conductor is 26475298092, and torsion is trivial.",
  "created_at": "2026-11-01 03:00:20",
  "updated_at": "2026-11-01 03:00:20"
}