{
  "id": 1820,
  "curve_key": "21335055808977:-98546360878390502169",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-444480329354",
    "114058399173775049"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    9
  ],
  "naive_height": 92.07411794521957,
  "faltings_height": 5.203295977833307,
  "conductor": "53655966",
  "bad_primes": [
    "2",
    "3",
    "7",
    "13",
    "61",
    "179"
  ],
  "discriminant": "2163173238579148091283382746624",
  "regulator": "7.507067597940747783446164647102768854919",
  "points": [
    [
      "401163",
      "17380111"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=-1/13 of the Kubert X_1(9) universal family.",
  "created_at": "2026-09-25 15:22:07",
  "updated_at": "2026-09-25 15:22:07"
}