{
  "id": 5795,
  "curve_key": "0:-22268679480854133264000",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "25773934584321913500"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 102.91493627302147,
  "faltings_height": 6.633900598543418,
  "conductor": "16395531589168839108088089130800",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "1855374479669"
  ],
  "discriminant": "-286975744109383049872207169602240332000000",
  "regulator": "16467018210.9372829510428819807670064691362853530740557412368",
  "points": [
    [
      "-2953566",
      "91365498"
    ],
    [
      "-1095435",
      "4945648275"
    ],
    [
      "911565",
      "5150864025"
    ],
    [
      "2965165",
      "7200296425"
    ],
    [
      "94602690",
      "920156797350"
    ],
    [
      "106610490",
      "1100790132750"
    ],
    [
      "128287026",
      "1453037279274"
    ],
    [
      "-29725335/16",
      "281611190475/64"
    ],
    [
      "17305785/4",
      "82658603475/8"
    ],
    [
      "19810665/16",
      "336667459275/64"
    ],
    [
      "98443114/25",
      "1164789484138/125"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Specialization t = 392/505 of a generic rank-four Burkhardt Mordell family with construction parameters (-9, 5, -5).\r\n\r\nThe specialization was identified using a 328-prime Mestre–Nagao sieve across multiple Burkhardt families. \r\nPARI/GP 2.17.4 returned matching computational rank bounds [11,11].",
  "created_at": "2026-10-25 10:33:35",
  "updated_at": "2026-10-25 10:33:35"
}