{
  "id": 1507,
  "curve_key": "158430528:-1959415280640",
  "ainvs": [
    "0",
    "0",
    "0",
    "-3300636",
    "2267841760"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4
  ],
  "naive_height": 56.642480238143435,
  "faltings_height": 2.610029186104972,
  "conductor": "124828704",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "13",
    "433"
  ],
  "discriminant": "79476156676374441984",
  "regulator": "20.71596848481760420396051748764642217787059522",
  "points": [
    [
      "-1882",
      "42588"
    ],
    [
      "-1986",
      "31460"
    ],
    [
      "10598",
      "1075932"
    ],
    [
      "24326",
      "3783780"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=-143/1176 of the Kubert-Tate torsion Z/4 universal family y^2+xy+ty=x^3+tx^2.",
  "created_at": "2026-09-25 00:43:19",
  "updated_at": "2026-09-25 00:43:19"
}