{
  "id": 647,
  "curve_key": "-191:-577",
  "ainvs": [
    "1",
    "0",
    "0",
    "4",
    "1"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    2
  ],
  "naive_height": 15.75682028413989,
  "faltings_height": -0.6150416470121891,
  "conductor": "65",
  "bad_primes": [
    "5",
    "13"
  ],
  "discriminant": "-4225",
  "regulator": "0.1877570493306331609022364384122891588311",
  "points": [
    [
      "1",
      "2"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 65a2 = LMFDB 65.a2. Curve data, generator (1, 2) and rank from the LMFDB: https://www.lmfdb.org/EllipticCurve/Q/65/a/2",
  "created_at": "2026-09-08 19:03:20",
  "updated_at": "2026-09-08 19:03:20"
}