{
  "id": 5415,
  "curve_key": "0:-141927021014652761184",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "164267385433625881"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 92.80368932573383,
  "faltings_height": 5.7912966862694475,
  "conductor": "8028230256356847550933023869660676",
  "bad_primes": [
    "2",
    "3",
    "11",
    "1357581697798561"
  ],
  "discriminant": "-11656990332230142643954750658747301552",
  "regulator": "1809432516461.38680689714390095921596146588197308333690328265",
  "points": [
    [
      "-235620",
      "388827109"
    ],
    [
      "189370214",
      "2605958589465"
    ],
    [
      "-792292765/1681",
      "16820909300514/68921"
    ],
    [
      "-41439734/225",
      "1341620564689/3375"
    ],
    [
      "21554049/16",
      "103374828865/64"
    ],
    [
      "47883682/81",
      "443946370967/729"
    ],
    [
      "247747467/361",
      "4789002811582/6859"
    ],
    [
      "731720506/729",
      "21340445439005/19683"
    ],
    [
      "1036504304/625",
      "33965623667283/15625"
    ],
    [
      "3505393310/2209",
      "211764452258457/103823"
    ],
    [
      "104961644827721/272514064",
      "2116788571476235668165/4498662168512"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Rank-11 Mordell curve obtained through Mestre's polynomial cube-completion construction, using the integer sextuple (-115,-59,-53,67,73,87).",
  "created_at": "2026-10-21 22:20:27",
  "updated_at": "2026-10-21 22:20:27"
}