{
  "id": 15,
  "curve_key": "41134419648:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-856967076",
    "0"
  ],
  "rank_lower_bound": 4,
  "naive_height": 73.32033320698703,
  "faltings_height": 4.178268178890409,
  "conductor": "13711473216",
  "bad_primes": [
    "2",
    "3",
    "7",
    "17",
    "41"
  ],
  "discriminant": "40278416178577537588263358464",
  "regulator": "172.7920313416794830582707377111743516153900428",
  "points": [
    [
      "-4998",
      "2039184"
    ],
    [
      "34476",
      "3381300"
    ],
    [
      "53958",
      "10528848"
    ],
    [
      "1843559424/25",
      "79156334875968/125"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Found by Wiman (1945). A curve of rank exactly 4, via Dujella's elliptic-curve rank-records tables.",
  "created_at": "2026-05-27 22:11:58",
  "updated_at": "2026-07-01 23:03:10"
}