{
  "id": 1512,
  "curve_key": "11073168:-2303239506624",
  "ainvs": [
    "0",
    "0",
    "0",
    "-230691",
    "2665786466"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4
  ],
  "naive_height": 56.930675458050736,
  "faltings_height": 2.801935851394373,
  "conductor": "90471312",
  "bad_primes": [
    "2",
    "3",
    "19",
    "43",
    "769"
  ],
  "discriminant": "-3069186624901911195648",
  "regulator": "61.42929209968493216920811791866876745367539085",
  "points": [
    [
      "5911",
      "455886"
    ],
    [
      "-1271",
      "30096"
    ],
    [
      "-1385",
      "18126"
    ],
    [
      "-1399",
      "15824"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=817/768 of the Kubert-Tate torsion Z/4 universal family y^2+xy+ty=x^3+tx^2.",
  "created_at": "2026-09-25 00:43:55",
  "updated_at": "2026-09-25 00:43:55"
}