{
  "id": 678,
  "curve_key": "21936:-3271320",
  "ainvs": [
    "0",
    "0",
    "1",
    "-457",
    "3786"
  ],
  "rank_lower_bound": 5,
  "torsion": [],
  "naive_height": 30.001408262291005,
  "faltings_height": 0.3490051904685358,
  "conductor": "84602123",
  "bad_primes": [
    "84602123"
  ],
  "discriminant": "-84602123",
  "regulator": "20.6819296999602593936612529930079948298777543702",
  "points": [
    [
      "11",
      "9"
    ],
    [
      "14",
      "11"
    ],
    [
      "15",
      "17"
    ],
    [
      "12",
      "5"
    ],
    [
      "13",
      "6"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "LMFDB 84602123.a1. Curve data, generators (11, 9), (14, 11), (15, 17), (12, 5), (13, 6) and rank from the LMFDB: https://www.lmfdb.org/EllipticCurve/Q/84602123/a/1",
  "created_at": "2026-09-08 19:27:18",
  "updated_at": "2026-09-08 19:27:18"
}