{
  "id": 968,
  "curve_key": "57:243",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-1",
    "0"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    2
  ],
  "naive_height": 12.12915380350365,
  "faltings_height": -0.9439763853344028,
  "conductor": "73",
  "bad_primes": [
    "73"
  ],
  "discriminant": "73",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 73a2 = LMFDB 73.a1: https://www.lmfdb.org/EllipticCurve/Q/73/a/1\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 73, minimal discriminant 73, torsion ℤ/2ℤ.",
  "created_at": "2026-09-23 15:07:54",
  "updated_at": "2026-09-23 15:07:54"
}