{
  "id": 1771,
  "curve_key": "12721:-1497833",
  "ainvs": [
    "1",
    "1",
    "1",
    "-265",
    "1623"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    5
  ],
  "naive_height": 28.439059909737512,
  "faltings_height": 0.3004722086982587,
  "conductor": "2786",
  "bad_primes": [
    "2",
    "7",
    "199"
  ],
  "discriminant": "-107026976",
  "regulator": "2.306672711856568817265975608524613770078",
  "points": [
    [
      "17",
      "40"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=-2/7 of the Kubert-Tate torsion Z/5 universal family y^2+(t+1)xy+ty=x^3+tx^2.",
  "created_at": "2026-09-25 14:24:34",
  "updated_at": "2026-09-25 14:24:34"
}