{
  "id": 1509,
  "curve_key": "47380288:-1034605297664",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-987089",
    "1197788865"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4
  ],
  "naive_height": 55.330082229995185,
  "faltings_height": 2.665108106264458,
  "conductor": "168006048",
  "bad_primes": [
    "2",
    "3",
    "7",
    "29",
    "37",
    "233"
  ],
  "discriminant": "-557896126798485393408",
  "regulator": "49.62000304492320611671883364852426523546907098",
  "points": [
    [
      "15803",
      "1982904"
    ],
    [
      "-1249",
      "21924"
    ],
    [
      "2261",
      "102564"
    ],
    [
      "11141",
      "1171716"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=1073/392 of the Kubert-Tate torsion Z/4 universal family y^2+xy+ty=x^3+tx^2.",
  "created_at": "2026-09-25 00:43:33",
  "updated_at": "2026-09-25 00:43:33"
}