{
  "id": 2132,
  "curve_key": "10240:-1036216",
  "ainvs": [
    "0",
    "1",
    "1",
    "-213",
    "1128"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    3
  ],
  "naive_height": 27.702172348556324,
  "faltings_height": -0.12712548509039018,
  "conductor": "1027",
  "bad_primes": [
    "13",
    "79"
  ],
  "discriminant": "-1027",
  "regulator": "3.466884944078151878391795868944630263936",
  "points": [
    [
      "36",
      "203"
    ]
  ],
  "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 = -10.",
  "created_at": "2026-09-26 10:39:55",
  "updated_at": "2026-09-26 10:39:55"
}