{
  "id": 30,
  "curve_key": "77191414209:-22079442640218273",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-1608154463",
    "25555312501831"
  ],
  "rank_lower_bound": 9,
  "naive_height": 75.26684674651447,
  "faltings_height": 4.184663345365095,
  "conductor": "9612838979769443646330",
  "bad_primes": [
    "2",
    "3",
    "5",
    "75217",
    "1420015714498561"
  ],
  "discriminant": "-15946546326759934676023910400",
  "regulator": "254394.10864036720716591387454974845012295985529802681621",
  "points": [
    [
      "23045",
      "844952"
    ],
    [
      "34381",
      "3285026"
    ],
    [
      "25583",
      "1062950"
    ],
    [
      "20803",
      "1040006"
    ],
    [
      "21715",
      "923702"
    ],
    [
      "17731",
      "1608326"
    ],
    [
      "15371",
      "2106046"
    ],
    [
      "19507",
      "1258166"
    ],
    [
      "18715",
      "1409582"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Found by Brumer - Kramer (1977). A historical rank ≥ 9 record, via Dujella's elliptic-curve rank-records tables.",
  "created_at": "2026-05-27 22:12:09",
  "updated_at": "2026-07-01 22:54:25"
}