{
  "id": 26,
  "curve_key": "71280955234384:-568729306424497084352",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-1485019900716",
    "658252007072023716"
  ],
  "rank_lower_bound": 7,
  "naive_height": 95.69295090047126,
  "faltings_height": 5.918519997709521,
  "conductor": "1321186210228868621060280",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "17",
    "19",
    "23",
    "29",
    "31",
    "37",
    "8420798017"
  ],
  "discriminant": "22409547184983924741173483181203078400",
  "regulator": "1031223.943702713970942638847459818408913490427960735",
  "points": [
    [
      "-1277354",
      "686274900"
    ],
    [
      "2096456",
      "2599838590"
    ],
    [
      "6341180",
      "15691521794"
    ],
    [
      "5118316",
      "11275759890"
    ],
    [
      "7761138",
      "21368830956"
    ],
    [
      "6659304/25",
      "66330632742/125"
    ],
    [
      "206059216/25",
      "2927181185214/125"
    ]
  ],
  "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"
}