{
  "id": 1063,
  "curve_key": "978773121:-30616173119169",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-20391107",
    "35440483331"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    12
  ],
  "naive_height": 62.105431283936326,
  "faltings_height": 2.8872330254775553,
  "conductor": "8190",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13"
  ],
  "discriminant": "180256538109375000000",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 8190bv8 = LMFDB 8190.bx1: https://www.lmfdb.org/EllipticCurve/Q/8190/bx/1\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 8190, minimal discriminant 180256538109375000000, torsion ℤ/12ℤ.",
  "created_at": "2026-09-23 15:22:56",
  "updated_at": "2026-09-23 15:22:56"
}