{
  "id": 670,
  "curve_key": "3952:-513944",
  "ainvs": [
    "0",
    "-1",
    "1",
    "-82",
    "622"
  ],
  "rank_lower_bound": 5,
  "torsion": [],
  "naive_height": 26.29973917817108,
  "faltings_height": 0.23802958802844304,
  "conductor": "117138251",
  "bad_primes": [
    "117138251"
  ],
  "discriminant": "-117138251",
  "regulator": "36.5120549910847903683077666343795283179820070194",
  "points": [
    [
      "4",
      "18"
    ],
    [
      "7",
      "18"
    ],
    [
      "-4",
      "29"
    ],
    [
      "11",
      "30"
    ],
    [
      "2",
      "21"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "LMFDB 117138251.a1. Curve data, generators (4, 18), (7, 18), (-4, 29), (11, 30), (2, 21) and rank from the LMFDB: https://www.lmfdb.org/EllipticCurve/Q/117138251/a/1",
  "created_at": "2026-09-08 19:18:25",
  "updated_at": "2026-09-08 19:18:25"
}