{
  "id": 897,
  "curve_key": "37633:7300511",
  "ainvs": [
    "1",
    "0",
    "0",
    "-784",
    "-8515"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    2
  ],
  "naive_height": 31.606909812103474,
  "faltings_height": 0.07420538339093977,
  "conductor": "21",
  "bad_primes": [
    "3",
    "7"
  ],
  "discriminant": "147",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 21a5 = LMFDB 21.a1: https://www.lmfdb.org/EllipticCurve/Q/21/a/1\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 21, minimal discriminant 147, torsion ℤ/2ℤ.",
  "created_at": "2026-09-23 14:57:09",
  "updated_at": "2026-09-23 14:57:09"
}