{
  "id": 978,
  "curve_key": "6129:-479817",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-128",
    "587"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    6
  ],
  "naive_height": 26.162360650457195,
  "faltings_height": -0.17178813042935506,
  "conductor": "90",
  "bad_primes": [
    "2",
    "3",
    "5"
  ],
  "discriminant": "5400",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 90b2 = LMFDB 90.b2: https://www.lmfdb.org/EllipticCurve/Q/90/b/2\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 90, minimal discriminant 5400, torsion ℤ/6ℤ.",
  "created_at": "2026-09-23 15:10:02",
  "updated_at": "2026-09-23 15:10:02"
}