{
  "id": 1510,
  "curve_key": "130677633:-4058225512929",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-2722451",
    "4697700882"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4
  ],
  "naive_height": 58.06353385644013,
  "faltings_height": 2.8909929009511823,
  "conductor": "2042704917",
  "bad_primes": [
    "3",
    "11",
    "31",
    "37",
    "17989"
  ],
  "discriminant": "-8239385953009075585743",
  "regulator": "156.5276683242142980618951557109489556792343123",
  "points": [
    [
      "-7665/4",
      "436639/8"
    ],
    [
      "92069/16",
      "26934351/64"
    ],
    [
      "-2092",
      "36177"
    ],
    [
      "284765/16",
      "150796587/64"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=1147/363 of the Kubert-Tate torsion Z/4 universal family y^2+xy+ty=x^3+tx^2.",
  "created_at": "2026-09-25 00:43:40",
  "updated_at": "2026-09-25 00:43:40"
}