{
  "id": 28,
  "curve_key": "157907714207824:-1963828987407564843968",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-3289744045996",
    "2272951313488252420"
  ],
  "rank_lower_bound": 7,
  "naive_height": 98.07909567305349,
  "faltings_height": 6.039770338778831,
  "conductor": "2756084633910119906617080",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "17",
    "19",
    "23",
    "29",
    "31",
    "37",
    "59",
    "11016191591"
  ],
  "discriminant": "46747845361418708281172757979630982400",
  "regulator": "403784.1579848618784679002566306921904067755443292495",
  "points": [
    [
      "1438008",
      "718248070"
    ],
    [
      "870276",
      "262859618"
    ],
    [
      "928733",
      "136859730"
    ],
    [
      "1166620",
      "151132950"
    ],
    [
      "15828084",
      "62574630898"
    ],
    [
      "-99958904/49",
      "241216239846/343"
    ],
    [
      "269482005/4",
      "4422204477635/8"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Found by Penney - Pomerance (1975). A curve of rank exactly 7, via Dujella's elliptic-curve rank-records tables.",
  "created_at": "2026-05-27 22:12:08",
  "updated_at": "2026-07-01 22:58:19"
}