{
  "id": 890,
  "curve_key": "0:5832",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-7"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    3
  ],
  "naive_height": 17.34223054737699,
  "faltings_height": -0.49715821192695564,
  "conductor": "27",
  "bad_primes": [
    "3"
  ],
  "discriminant": "-19683",
  "regulator": "1",
  "points": [],
  "submitter": "NDElkies",
  "history": [],
  "commentary": "LMFDB 27.a3; 3-isogenous with Curve #870 = [0,0,1,0,0], and isomorphic with the Fermat cubic curve X³ + Y³ = Z³.",
  "created_at": "2026-09-23 14:56:05",
  "updated_at": "2026-09-23 14:56:05"
}