{
  "id": 1791,
  "curve_key": "297:-5589",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-6",
    "8"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    3
  ],
  "naive_height": 17.257111318539398,
  "faltings_height": -0.5978064859425893,
  "conductor": "162",
  "bad_primes": [
    "2",
    "3"
  ],
  "discriminant": "-2916",
  "regulator": "0.3059348838687633137003702668345723200344",
  "points": [
    [
      "-2",
      "4"
    ]
  ],
  "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 15:02:52",
  "updated_at": "2026-09-25 15:02:52"
}