{
  "id": 858,
  "curve_key": "375376:229985128",
  "ainvs": [
    "0",
    "-1",
    "1",
    "-7820",
    "-263580"
  ],
  "rank_lower_bound": 0,
  "torsion": [],
  "naive_height": 38.5070504078546,
  "faltings_height": 0.4967091150986471,
  "conductor": "11",
  "bad_primes": [
    "11"
  ],
  "discriminant": "-11",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "LMFDB 11.a1 (Cremona 11a2): https://www.lmfdb.org/EllipticCurve/Q/11/a/1\n\nMordell–Weil rank exactly 0 per LMFDB. Conductor 11, minimal discriminant -11, torsion trivial.\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): #1 by conductor, #1 by |minimal discriminant|.",
  "created_at": "2026-09-23 14:39:16",
  "updated_at": "2026-09-23 14:39:16"
}