{
  "id": 1007,
  "curve_key": "27721:-2422981",
  "ainvs": [
    "1",
    "0",
    "1",
    "-578",
    "2756"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    6,
    2
  ],
  "naive_height": 30.689836583067677,
  "faltings_height": 0.6063852716964212,
  "conductor": "210",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7"
  ],
  "discriminant": "8930250000",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 210b2 = LMFDB 210.b6: https://www.lmfdb.org/EllipticCurve/Q/210/b/6\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 210, minimal discriminant 8930250000, torsion ℤ/2ℤ × ℤ/6ℤ.",
  "created_at": "2026-09-23 15:14:21",
  "updated_at": "2026-09-23 15:14:21"
}