{
  "id": 952,
  "curve_key": "73:539",
  "ainvs": [
    "1",
    "0",
    "1",
    "-2",
    "-1"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    2
  ],
  "naive_height": 12.871378323445173,
  "faltings_height": -0.9381558427627714,
  "conductor": "57",
  "bad_primes": [
    "3",
    "19"
  ],
  "discriminant": "57",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 57b2 = LMFDB 57.c3: https://www.lmfdb.org/EllipticCurve/Q/57/c/3\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 57, minimal discriminant 57, torsion ℤ/2ℤ.",
  "created_at": "2026-09-23 15:05:44",
  "updated_at": "2026-09-23 15:05:44"
}