{
  "id": 5439,
  "curve_key": "0:396576",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-459"
  ],
  "rank_lower_bound": 2,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 25.7812459577292,
  "faltings_height": 0.20609307226906215,
  "conductor": "10404",
  "bad_primes": [
    "2",
    "3",
    "17"
  ],
  "discriminant": "-91014192",
  "regulator": "3.15498823401431586565473388953591240806543",
  "points": [
    [
      "15",
      "54"
    ],
    [
      "33/4",
      "81/8"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Mordell curve y^2=x^3-459. PARI/GP 2.17.4 returned rank bounds [2,2] with generators [15,54] and [33/4,81/8], trivial rational torsion, conductor 10404, minimal discriminant -91014192, and bad primes 2, 3 and 17. Found in a bounded exact small-coefficient Mordell sweep.",
  "created_at": "2026-10-22 00:04:34",
  "updated_at": "2026-10-22 00:04:34"
}