{
  "id": 6226,
  "curve_key": "0:14811941032529184",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-17143450269131"
  ],
  "rank_lower_bound": 10,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 74.4684201537869,
  "faltings_height": 4.263357588607203,
  "conductor": "31740971810058117683801477388",
  "bad_primes": [
    "2",
    "3",
    "227",
    "929",
    "81293657"
  ],
  "discriminant": "-126963887240232470735205909552",
  "regulator": "14144489204.28145992072859530730467388913213347690525810108",
  "points": [
    [
      "28995",
      "2689412"
    ],
    [
      "60483",
      "14286884"
    ],
    [
      "76911",
      "20923870"
    ],
    [
      "315499/9",
      "137503000/27"
    ],
    [
      "947353/36",
      "224462429/216"
    ],
    [
      "1416199/9",
      "1681623890/27"
    ],
    [
      "9751641/100",
      "30169255811/1000"
    ],
    [
      "13892035/81",
      "51690368152/729"
    ],
    [
      "17820751/225",
      "73920393874/3375"
    ],
    [
      "1388568105/23716",
      "49483843995893/3652264"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Bruin–Nasserden rational parametrization of the Burkhardt quartic with parameters (u,v,w)=(13/9,4/9,16/9), specialized at t=-60/151. PARI/GP 2.17.4 returned rank bounds [10,10].",
  "created_at": "2026-10-31 08:48:15",
  "updated_at": "2026-10-31 08:48:15"
}