{
  "id": 5732,
  "curve_key": "0:-20755808905401832248",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "24022926973844713"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 88.95871565727978,
  "faltings_height": 5.470882213898277,
  "conductor": "34611639706896014723792957766081",
  "bad_primes": [
    "3",
    "7",
    "5189",
    "9949",
    "5426611"
  ],
  "discriminant": "-249307640808771994055480674789081443",
  "regulator": "70665850510.1803895268562304901860487747198614532278386841072",
  "points": [
    [
      "458969",
      "347427566"
    ],
    [
      "2269681/4",
      "3637254413/8"
    ],
    [
      "10441739",
      "33741457011"
    ],
    [
      "-18468667/121",
      "190416837439/1331"
    ],
    [
      "-5904503/196",
      "425059575473/2744"
    ],
    [
      "-4008991/16",
      "5827981617/64"
    ],
    [
      "1812307/9",
      "4844084788/27"
    ],
    [
      "10194289/16",
      "34026818647/64"
    ],
    [
      "18095329/100",
      "173055130483/1000"
    ],
    [
      "30916193/16",
      "172187208945/64"
    ],
    [
      "193135159/25",
      "2684128638923/125"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Constructed from the Burkhardt quartic using the rational Bruin–Nasserden parametrization with parameters (u,v,w)=(-18/5,1/5,-10/5) and specialization t=-2182/1387. The specialization was selected by a three-stage Mestre–Nagao sieve using 328 primes. \r\n\r\nPARI/GP 2.17.4 returned matching computational rank bounds [11,11].",
  "created_at": "2026-10-24 17:23:00",
  "updated_at": "2026-10-24 17:23:00"
}