{
  "id": 5470,
  "curve_key": "0:-633534053619024000",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "733257006503500"
  ],
  "rank_lower_bound": 9,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 81.98018029590662,
  "faltings_height": 4.889337600450514,
  "conductor": "21447058341399510566912400",
  "bad_primes": [
    "2",
    "3",
    "5",
    "19",
    "521",
    "7797247"
  ],
  "discriminant": "-232271641837356699439661292000000",
  "regulator": "11897442.609829152177835530630627319503433497098653800806",
  "points": [
    [
      "-88635",
      "6076675"
    ],
    [
      "-84610",
      "11293650"
    ],
    [
      "-16435",
      "26996625"
    ],
    [
      "-3610",
      "27077850"
    ],
    [
      "33365",
      "27756075"
    ],
    [
      "110846",
      "45773394"
    ],
    [
      "839990",
      "770335050"
    ],
    [
      "-926535/16",
      "1485941075/64"
    ],
    [
      "-401090/9",
      "685579850/27"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Rank-9 Mordell curve discovered using Mestre's polynomial cube-completion construction from the integer sextuple (-30,-17,-5,1,22,29).",
  "created_at": "2026-10-22 08:57:10",
  "updated_at": "2026-10-22 08:57:10"
}