{
  "id": 5610,
  "curve_key": "0:221723677389352608",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-256624626608047"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 79.88041661012119,
  "faltings_height": 4.714357293301728,
  "conductor": "2370823163341903594820345551524",
  "bad_primes": [
    "2",
    "3",
    "1753",
    "146391686599"
  ],
  "discriminant": "-28449877960102843137844146618288",
  "regulator": "542058292465.631529336872237080951865950117014598388150430292",
  "points": [
    [
      "166207",
      "65839236"
    ],
    [
      "1113131",
      "1174299862"
    ],
    [
      "910732238",
      "27484387622915"
    ],
    [
      "1876286/25",
      "1611089591/125"
    ],
    [
      "3202297/16",
      "5638038669/64"
    ],
    [
      "18367564/289",
      "1524077799/4913"
    ],
    [
      "33276092/121",
      "190766700139/1331"
    ],
    [
      "511432969/7744",
      "3820309541019/681472"
    ],
    [
      "603682184/6889",
      "11666201724131/571787"
    ],
    [
      "710727344/2809",
      "18796919126539/148877"
    ],
    [
      "1450478659/9",
      "55241697459554/27"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Exact-rank-11 Mordell curve discovered in October 2026 using the Burkhardt quartic construction, with parameters (u,v,w)=(11,-8,2) and specialization t=-645/722.",
  "created_at": "2026-10-23 22:41:18",
  "updated_at": "2026-10-23 22:41:18"
}