{
  "id": 645,
  "curve_key": "97:-1009",
  "ainvs": [
    "1",
    "0",
    "0",
    "-2",
    "1"
  ],
  "rank_lower_bound": 1,
  "torsion": [],
  "naive_height": 13.833430040707217,
  "faltings_height": -0.9054585429323966,
  "conductor": "61",
  "bad_primes": [
    "61"
  ],
  "discriminant": "-61",
  "regulator": "0.07918773136204194363655451979976745079849",
  "points": [
    [
      "1",
      "0"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 61a1 = LMFDB 61.a1. Curve data, generator (1, 0) and rank from the LMFDB: https://www.lmfdb.org/EllipticCurve/Q/61/a/1",
  "created_at": "2026-09-08 19:03:12",
  "updated_at": "2026-09-08 19:03:12"
}