{
  "id": 5469,
  "curve_key": "0:-690853659174598727808",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "799599142563192972"
  ],
  "rank_lower_bound": 9,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 95.96891938801647,
  "faltings_height": 6.055065858126334,
  "conductor": "161657109345237320263136688",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "13",
    "19",
    "10721279"
  ],
  "discriminant": "-276202996756326748238592832578803282688",
  "regulator": "85022741.421731648273405070879326497355209263454537957881",
  "points": [
    [
      "-915642",
      "178674678"
    ],
    [
      "-902538",
      "253799910"
    ],
    [
      "-830466",
      "476286174"
    ],
    [
      "277069",
      "906018191"
    ],
    [
      "1557829",
      "2140137181"
    ],
    [
      "1979838",
      "2925762462"
    ],
    [
      "5430789",
      "12687490179"
    ],
    [
      "34114158",
      "199253683278"
    ],
    [
      "-28107639/100",
      "881698928859/1000"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Rank-9 Mordell curve discovered through Mestre's polynomial cube-completion construction from the integer sextuple (-15,-14,-11,6,15,19).",
  "created_at": "2026-10-22 08:38:29",
  "updated_at": "2026-10-22 08:38:29"
}