{
  "id": 859,
  "curve_key": "496:20008",
  "ainvs": [
    "0",
    "-1",
    "1",
    "-10",
    "-20"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    5
  ],
  "naive_height": 19.80777494511491,
  "faltings_height": -0.30800984111840307,
  "conductor": "11",
  "bad_primes": [
    "11"
  ],
  "discriminant": "-161051",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "LMFDB 11.a2 (Cremona 11a1): https://www.lmfdb.org/EllipticCurve/Q/11/a/2\n\nMordell–Weil rank exactly 0 per LMFDB. Conductor 11, minimal discriminant -161051, torsion ℤ/5ℤ.\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): #2 by conductor.",
  "created_at": "2026-09-23 14:39:17",
  "updated_at": "2026-09-23 14:39:17"
}