{
  "id": 2127,
  "curve_key": "-16448:-25313464",
  "ainvs": [
    "0",
    "1",
    "1",
    "343",
    "29412"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    3
  ],
  "naive_height": 34.093693972112945,
  "faltings_height": 0.8999831877809487,
  "conductor": "64771",
  "bad_primes": [
    "7",
    "19",
    "487"
  ],
  "discriminant": "-373391925571",
  "regulator": "6.50200863528541439433567954275579905392325",
  "points": [
    [
      "28",
      "248"
    ],
    [
      "245/4",
      "4259/8"
    ]
  ],
  "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 = 30+2/7.",
  "created_at": "2026-09-26 10:37:44",
  "updated_at": "2026-09-26 10:37:44"
}