{
  "id": 18,
  "curve_key": "99323902720:-31269101880111200",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-2069247973",
    "36191779888342"
  ],
  "rank_lower_bound": 6,
  "naive_height": 75.96495627364892,
  "faltings_height": 4.106342748418685,
  "conductor": "21417609338825700",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "19",
    "23",
    "127",
    "10799"
  ],
  "discriminant": "1213641447728106672060786000",
  "regulator": "854.99378511946814432682065976442547356253336901804",
  "points": [
    [
      "28366",
      "564642"
    ],
    [
      "41701",
      "4734687"
    ],
    [
      "27337",
      "230775"
    ],
    [
      "41709/4",
      "31747841/8"
    ],
    [
      "85581",
      "22043153"
    ],
    [
      "128029/4",
      "13266729/8"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Found by Penney - Pomerance (1974). A curve of rank exactly 6, via Dujella's elliptic-curve rank-records tables.",
  "created_at": "2026-05-27 22:12:01",
  "updated_at": "2026-07-01 23:00:16"
}