{
  "id": 909,
  "curve_key": "-71:-1837",
  "ainvs": [
    "1",
    "0",
    "1",
    "1",
    "2"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    6
  ],
  "naive_height": 15.03177817043025,
  "faltings_height": -0.6782873396776484,
  "conductor": "30",
  "bad_primes": [
    "2",
    "3",
    "5"
  ],
  "discriminant": "-2160",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 30a1 = LMFDB 30.a8: https://www.lmfdb.org/EllipticCurve/Q/30/a/8\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 30, minimal discriminant -2160, torsion ℤ/6ℤ.",
  "created_at": "2026-09-23 14:59:18",
  "updated_at": "2026-09-23 14:59:18"
}