{
  "id": 679,
  "curve_key": "7024:-591832",
  "ainvs": [
    "0",
    "1",
    "1",
    "-146",
    "636"
  ],
  "rank_lower_bound": 3,
  "torsion": [],
  "naive_height": 26.581956179616242,
  "faltings_height": 0.05357455979098939,
  "conductor": "18745",
  "bad_primes": [
    "5",
    "23",
    "163"
  ],
  "discriminant": "-2155675",
  "regulator": "0.30988917736899827657289346902341147555311928",
  "points": [
    [
      "9",
      "11"
    ],
    [
      "7",
      "2"
    ],
    [
      "58/9",
      "44/27"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 18745a1 = LMFDB 18745.a1. Curve data, generators (9, 11), (7, 2), (58/9, 44/27) and rank from the LMFDB: https://www.lmfdb.org/EllipticCurve/Q/18745/a/1",
  "created_at": "2026-09-08 19:27:41",
  "updated_at": "2026-09-08 19:27:41"
}