{
  "id": 27,
  "curve_key": "154832063750224:-1905911076227795039168",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-3225667994796",
    "2205916672708538820"
  ],
  "rank_lower_bound": 7,
  "naive_height": 98.02008655741527,
  "faltings_height": 6.036623018424112,
  "conductor": "2705139105695704399945080",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "17",
    "19",
    "23",
    "29",
    "31",
    "37",
    "291701",
    "2186969"
  ],
  "discriminant": "45883723249375846665777287372882822400",
  "regulator": "486718.9016642236194594447475021625676457117043360219",
  "points": [
    [
      "1124958",
      "29035380"
    ],
    [
      "707724",
      "526795542"
    ],
    [
      "885716",
      "209112382"
    ],
    [
      "333788",
      "1080007450"
    ],
    [
      "1219101",
      "292124718"
    ],
    [
      "6320106",
      "15305815332"
    ],
    [
      "-1935671",
      "1094134272"
    ]
  ],
  "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 22:12:07",
  "updated_at": "2026-07-01 22:58:18"
}