{
  "id": 648,
  "curve_key": "-96:-216",
  "ainvs": [
    "0",
    "0",
    "1",
    "2",
    "0"
  ],
  "rank_lower_bound": 1,
  "torsion": [],
  "naive_height": 13.693044574403508,
  "faltings_height": -0.786653891482656,
  "conductor": "77",
  "bad_primes": [
    "7",
    "11"
  ],
  "discriminant": "-539",
  "regulator": "0.09802797926446819450649012526893760873487",
  "points": [
    [
      "2",
      "3"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 77a1 = LMFDB 77.a1. Curve data, generator (2, 3) and rank from the LMFDB: https://www.lmfdb.org/EllipticCurve/Q/77/a/1",
  "created_at": "2026-09-08 19:03:25",
  "updated_at": "2026-09-08 19:03:25"
}