{
  "id": 5792,
  "curve_key": "0:2144077128",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-2481571"
  ],
  "rank_lower_bound": 3,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell",
    "cubesum"
  ],
  "naive_height": 42.97195010677704,
  "faltings_height": 1.6386517513563819,
  "conductor": "804028923",
  "bad_primes": [
    "3",
    "17",
    "107"
  ],
  "discriminant": "-2660339543294403",
  "regulator": "202.22074621862611219429359107606523254081095",
  "points": [
    [
      "151",
      "980"
    ],
    [
      "217",
      "2781"
    ],
    [
      "1171",
      "40040"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Burkhardt-quartic construction with (a,b,c,d)=(0,-2,-1,2) and t=-5/17. Cubesum parameter k=16371. PARI/GP 2.17.4 returned matching rank bounds [3,3]. Three rational-point witnesses verified by exact arithmetic.",
  "created_at": "2026-10-25 10:16:20",
  "updated_at": "2026-10-25 10:16:20"
}