{
  "id": 971,
  "curve_key": "64:352",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-1",
    "0"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    2
  ],
  "naive_height": 12.476649250079015,
  "faltings_height": -0.92995009551552,
  "conductor": "80",
  "bad_primes": [
    "2",
    "5"
  ],
  "discriminant": "80",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 80b2 = LMFDB 80.b3: https://www.lmfdb.org/EllipticCurve/Q/80/b/3\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 80, minimal discriminant 80, torsion ℤ/2ℤ.",
  "created_at": "2026-09-23 15:08:57",
  "updated_at": "2026-09-23 15:08:57"
}