{
  "id": 2131,
  "curve_key": "9760:-964216",
  "ainvs": [
    "0",
    "1",
    "1",
    "-203",
    "1048"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    3
  ],
  "naive_height": 27.558143038221413,
  "faltings_height": -0.13695599535420613,
  "conductor": "973",
  "bad_primes": [
    "7",
    "139"
  ],
  "discriminant": "973",
  "regulator": "5.219287663938723844539957496132985677011",
  "points": [
    [
      "74/25",
      "2682/125"
    ]
  ],
  "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 10:39:50",
  "updated_at": "2026-09-26 10:39:50"
}