{
  "id": 981,
  "curve_key": "-80:-352",
  "ainvs": [
    "0",
    "1",
    "0",
    "2",
    "1"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    3
  ],
  "naive_height": 13.146079904021645,
  "faltings_height": -0.8192693207156317,
  "conductor": "92",
  "bad_primes": [
    "2",
    "23"
  ],
  "discriminant": "-368",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 92a1 = LMFDB 92.b2: https://www.lmfdb.org/EllipticCurve/Q/92/b/2\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 92, minimal discriminant -368, torsion ℤ/3ℤ.",
  "created_at": "2026-09-23 15:10:04",
  "updated_at": "2026-09-23 15:10:04"
}