{
  "id": 975,
  "curve_key": "73:-485",
  "ainvs": [
    "1",
    "1",
    "0",
    "-1",
    "0"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    2
  ],
  "naive_height": 12.871378323445173,
  "faltings_height": -0.9134965704495145,
  "conductor": "89",
  "bad_primes": [
    "89"
  ],
  "discriminant": "89",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 89b2 = LMFDB 89.b1: https://www.lmfdb.org/EllipticCurve/Q/89/b/1\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 89, minimal discriminant 89, torsion ℤ/2ℤ.",
  "created_at": "2026-09-23 15:08:59",
  "updated_at": "2026-09-23 15:08:59"
}