{
  "id": 19,
  "curve_key": "157077339904:-62227614068304992",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-3272444581",
    "72023792282806"
  ],
  "rank_lower_bound": 6,
  "naive_height": 77.34001239556598,
  "faltings_height": 4.188573523568177,
  "conductor": "4330583892748773660",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "19",
    "23",
    "29",
    "17614859"
  ],
  "discriminant": "1932244778818192209579608400",
  "regulator": "2971.4872960803653942500626665828891761232773805673",
  "points": [
    [
      "33609",
      "51175"
    ],
    [
      "13009",
      "5626185"
    ],
    [
      "22653",
      "3084991"
    ],
    [
      "61026",
      "9979340"
    ],
    [
      "57134",
      "8459010"
    ],
    [
      "-216995/4",
      "75851127/8"
    ]
  ],
  "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 22:12:02",
  "updated_at": "2026-07-01 23:01:13"
}