{
  "id": 5677,
  "curve_key": "0:-944668664082616536",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "1093366509354880"
  ],
  "rank_lower_bound": 10,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 82.77922128180893,
  "faltings_height": 4.955924349275706,
  "conductor": "2832432250889733342553290483",
  "bad_primes": [
    "3",
    "7",
    "61",
    "23986672649"
  ],
  "discriminant": "-516434539872474190614398900474907",
  "regulator": "1483099748.426229115696037608366935863527821706418703851217",
  "points": [
    [
      "-101260",
      "7422144"
    ],
    [
      "-26962",
      "32768376"
    ],
    [
      "-1342",
      "33066056"
    ],
    [
      "73220",
      "38547519"
    ],
    [
      "527345/4",
      "465431277/8"
    ],
    [
      "253820",
      "132081855"
    ],
    [
      "415898",
      "270243816"
    ],
    [
      "2985353/16",
      "5575382277/64"
    ],
    [
      "6809369/100",
      "37537979847/1000"
    ],
    [
      "2238334/9",
      "3465750824/27"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Exact-rank-10 Mordell curve found using the Burkhardt quartic construction with parameters (u,v,w)=(3,2,1) and specialization t=-221/770 (October 2026).\r\n\r\nExact rank [10,10] independently verified using PARI/GP 2.17.4 with ten rational points checked exactly on the curve.",
  "created_at": "2026-10-24 07:32:46",
  "updated_at": "2026-10-24 07:32:46"
}