{
  "id": 988,
  "curve_key": "-47:-793",
  "ainvs": [
    "1",
    "0",
    "0",
    "1",
    "1"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    3
  ],
  "naive_height": 13.351646443269695,
  "faltings_height": -0.8132133548065456,
  "conductor": "106",
  "bad_primes": [
    "2",
    "53"
  ],
  "discriminant": "-424",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 106a1 = LMFDB 106.c2: https://www.lmfdb.org/EllipticCurve/Q/106/c/2\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 106, minimal discriminant -424, torsion ℤ/3ℤ.",
  "created_at": "2026-09-23 15:11:08",
  "updated_at": "2026-09-23 15:11:08"
}