{
  "id": 2125,
  "curve_key": "-191:-13537",
  "ainvs": [
    "1",
    "0",
    "0",
    "4",
    "16"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    3
  ],
  "naive_height": 19.026363912371572,
  "faltings_height": -0.3519979560080158,
  "conductor": "430",
  "bad_primes": [
    "2",
    "5",
    "43"
  ],
  "discriminant": "-110080",
  "regulator": "0.7611903625253162480969590094595165082754",
  "points": [
    [
      "-2",
      "2"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization of the torsion Z/3 family E: y^2+a*x*y+b^3*y=x^3, arising from x/y+y/z+z/x = k with k = 2+1/2.",
  "created_at": "2026-09-26 10:35:26",
  "updated_at": "2026-09-26 10:35:26"
}