{
  "id": 2689,
  "curve_key": "48:-10584",
  "ainvs": [
    "0",
    "0",
    "1",
    "-1",
    "12"
  ],
  "rank_lower_bound": 3,
  "torsion": [],
  "naive_height": 18.534197411589584,
  "faltings_height": -0.39771351094805485,
  "conductor": "64763",
  "bad_primes": [
    "64763"
  ],
  "discriminant": "-64763",
  "regulator": "1.5367455555225049859237656441065018578849356",
  "points": [
    [
      "0",
      "3"
    ],
    [
      "1",
      "3"
    ],
    [
      "-2",
      "2"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": null,
  "created_at": "2026-09-26 20:17:52",
  "updated_at": "2026-09-26 20:17:52"
}