{
  "id": 862,
  "curve_key": "1705:57707",
  "ainvs": [
    "1",
    "0",
    "1",
    "-36",
    "-70"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    6
  ],
  "naive_height": 22.323961169152852,
  "faltings_height": -0.1362051639109704,
  "conductor": "14",
  "bad_primes": [
    "2",
    "7"
  ],
  "discriminant": "941192",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "LMFDB 14.a3 (Cremona 14a2): https://www.lmfdb.org/EllipticCurve/Q/14/a/3\n\nMordell–Weil rank exactly 0 per LMFDB. Conductor 14, minimal discriminant 941192, torsion ℤ/6ℤ.\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): #6 by conductor.",
  "created_at": "2026-09-23 14:39:20",
  "updated_at": "2026-09-23 14:39:20"
}