{
  "id": 986,
  "curve_key": "1633:-61201",
  "ainvs": [
    "1",
    "0",
    "0",
    "-34",
    "68"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    8
  ],
  "naive_height": 22.194522278911396,
  "faltings_height": -0.1926424851984457,
  "conductor": "102",
  "bad_primes": [
    "2",
    "3",
    "17"
  ],
  "discriminant": "352512",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 102b1 = LMFDB 102.c5: https://www.lmfdb.org/EllipticCurve/Q/102/c/5\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 102, minimal discriminant 352512, torsion ℤ/8ℤ.",
  "created_at": "2026-09-23 15:11:07",
  "updated_at": "2026-09-23 15:11:07"
}