{
  "id": 860,
  "curve_key": "131065:47449331",
  "ainvs": [
    "1",
    "0",
    "1",
    "-2731",
    "-55146"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    2
  ],
  "naive_height": 35.35034598699364,
  "faltings_height": 0.41310098042308446,
  "conductor": "14",
  "bad_primes": [
    "2",
    "7"
  ],
  "discriminant": "25088",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "LMFDB 14.a1 (Cremona 14a5): https://www.lmfdb.org/EllipticCurve/Q/14/a/1\n\nMordell–Weil rank exactly 0 per LMFDB. Conductor 14, minimal discriminant 25088, torsion ℤ/2ℤ.\n\nSubmitted as one of the ten smallest rank-0 curves in LMFDB (as of 2026-09-23; places in LMFDB sort order, ties broken by label): #4 by conductor.",
  "created_at": "2026-09-23 14:39:19",
  "updated_at": "2026-09-23 14:39:19"
}