{
  "id": 1770,
  "curve_key": "8641:-1382561",
  "ainvs": [
    "1",
    "1",
    "1",
    "-180",
    "1525"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    5
  ],
  "naive_height": 28.278896268741757,
  "faltings_height": 0.39538391707131326,
  "conductor": "2290",
  "bad_primes": [
    "2",
    "5",
    "229"
  ],
  "discriminant": "-732800000",
  "regulator": "1.325541562957790014181918845504292491331",
  "points": [
    [
      "-17",
      "13"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=-4/5 of the Kubert-Tate torsion Z/5 universal family y^2+(t+1)xy+ty=x^3+tx^2.",
  "created_at": "2026-09-25 14:24:26",
  "updated_at": "2026-09-25 14:24:26"
}