{
  "id": 964,
  "curve_key": "-5519:-476425",
  "ainvs": [
    "1",
    "0",
    "0",
    "115",
    "561"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    10
  ],
  "naive_height": 26.148131183993154,
  "faltings_height": 0.28970790045947015,
  "conductor": "66",
  "bad_primes": [
    "2",
    "3",
    "11"
  ],
  "discriminant": "-228637728",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 66c2 = LMFDB 66.c4: https://www.lmfdb.org/EllipticCurve/Q/66/c/4\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 66, minimal discriminant -228637728, torsion ℤ/10ℤ.",
  "created_at": "2026-09-23 15:07:52",
  "updated_at": "2026-09-23 15:07:52"
}