{
  "id": 2135,
  "curve_key": "6937:-608509",
  "ainvs": [
    "1",
    "0",
    "1",
    "-145",
    "692"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    3
  ],
  "naive_height": 26.63753396353741,
  "faltings_height": 0.15906619889750925,
  "conductor": "402",
  "bad_primes": [
    "2",
    "3",
    "67"
  ],
  "discriminant": "-21100176",
  "regulator": "0.3333883005018298838873982368063812134813",
  "points": [
    [
      "-5",
      "38"
    ]
  ],
  "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 = -7/3.",
  "created_at": "2026-09-26 10:44:31",
  "updated_at": "2026-09-26 10:44:31"
}