{
  "id": 913,
  "curve_key": "16009:2021723",
  "ainvs": [
    "1",
    "0",
    "1",
    "-334",
    "-2368"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    2,
    2
  ],
  "naive_height": 29.042719029234284,
  "faltings_height": 0.21759239493637902,
  "conductor": "30",
  "bad_primes": [
    "2",
    "3",
    "5"
  ],
  "discriminant": "9000000",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 30a6 = LMFDB 30.a3: https://www.lmfdb.org/EllipticCurve/Q/30/a/3\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 30, minimal discriminant 9000000, torsion ℤ/2ℤ × ℤ/2ℤ.",
  "created_at": "2026-09-23 14:59:20",
  "updated_at": "2026-09-23 14:59:20"
}