{
  "id": 1508,
  "curve_key": "233583025:520254976375",
  "ainvs": [
    "1",
    "1",
    "1",
    "-4866313",
    "-604174594"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4
  ],
  "naive_height": 57.80714441797776,
  "faltings_height": 2.8841995475294464,
  "conductor": "402396225",
  "bad_primes": [
    "3",
    "5",
    "7",
    "11",
    "59",
    "1181"
  ],
  "discriminant": "7218671928935251640625",
  "regulator": "55.45871644571928477734844920703480718897443513",
  "points": [
    [
      "19670",
      "2731452"
    ],
    [
      "-17906/9",
      "964975/27"
    ],
    [
      "-80470/49",
      "18948336/343"
    ],
    [
      "-8345/4",
      "182391/8"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=-649/245 of the Kubert-Tate torsion Z/4 universal family y^2+xy+ty=x^3+tx^2.",
  "created_at": "2026-09-25 00:43:26",
  "updated_at": "2026-09-25 00:43:26"
}