{
  "id": 901,
  "curve_key": "3088:-171584",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-64",
    "220"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    4
  ],
  "naive_height": 24.105836733434,
  "faltings_height": -0.29877869579988464,
  "conductor": "24",
  "bad_primes": [
    "2",
    "3"
  ],
  "discriminant": "3072",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 24a3 = LMFDB 24.a2: https://www.lmfdb.org/EllipticCurve/Q/24/a/2\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 24, minimal discriminant 3072, torsion ℤ/4ℤ.",
  "created_at": "2026-09-23 14:57:11",
  "updated_at": "2026-09-23 14:57:11"
}