{
  "id": 973,
  "curve_key": "-320:1952",
  "ainvs": [
    "0",
    "1",
    "0",
    "7",
    "0"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    6
  ],
  "naive_height": 17.304962987381316,
  "faltings_height": -0.4810707721627016,
  "conductor": "84",
  "bad_primes": [
    "2",
    "3",
    "7"
  ],
  "discriminant": "-21168",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 84a1 = LMFDB 84.b4: https://www.lmfdb.org/EllipticCurve/Q/84/b/4\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 84, minimal discriminant -21168, torsion ℤ/6ℤ.",
  "created_at": "2026-09-23 15:08:58",
  "updated_at": "2026-09-23 15:08:58"
}