{
  "id": 1789,
  "curve_key": "-224:-4024",
  "ainvs": [
    "0",
    "1",
    "1",
    "5",
    "6"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    3
  ],
  "naive_height": 16.60006342355915,
  "faltings_height": -0.5083561623984341,
  "conductor": "635",
  "bad_primes": [
    "5",
    "127"
  ],
  "discriminant": "-15875",
  "regulator": "2.379682107553856219654051226247935075581",
  "points": [
    [
      "30",
      "167"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Found in a low-height lattice sweep of the Tate X_1(3) form y^2 + a1*x*y + a3*y = x^3.",
  "created_at": "2026-09-25 15:02:35",
  "updated_at": "2026-09-25 15:02:35"
}