{
  "id": 6343,
  "curve_key": "0:36033529974912",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-41705474508"
  ],
  "rank_lower_bound": 4,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell",
    "cubesum"
  ],
  "naive_height": 62.43094201820762,
  "faltings_height": 3.2602344106422634,
  "conductor": "13901824836",
  "bad_primes": [
    "2",
    "3",
    "43",
    "457"
  ],
  "discriminant": "-751397732900973147771648",
  "regulator": "445.4764885249492341300986425681470621554343744",
  "points": [
    [
      "4773",
      "258903"
    ],
    [
      "27877",
      "4649975"
    ],
    [
      "667677",
      "545568885"
    ],
    [
      "58953/16",
      "5836347/64"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Published-source replay of OEIS A309964 at k = 78604 (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,-41705474508]. 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 -751397732900973147771648 = -2^8*3^9*43^4*457^4, the conductor is 13901824836, and torsion is trivial.",
  "created_at": "2026-11-01 03:01:57",
  "updated_at": "2026-11-01 03:01:57"
}