{
  "id": 902,
  "curve_key": "18448:2505664",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-384",
    "-2772"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    2
  ],
  "naive_height": 29.46813372752652,
  "faltings_height": 0.047794894480088036,
  "conductor": "24",
  "bad_primes": [
    "2",
    "3"
  ],
  "discriminant": "18432",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 24a5 = LMFDB 24.a1: https://www.lmfdb.org/EllipticCurve/Q/24/a/1\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 24, minimal discriminant 18432, torsion ℤ/2ℤ.",
  "created_at": "2026-09-23 14:58:13",
  "updated_at": "2026-09-23 14:58:13"
}