{
  "id": 1414,
  "curve_key": "1585:56375",
  "ainvs": [
    "1",
    "0",
    "0",
    "-33",
    "-68"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    2
  ],
  "naive_height": 22.105019058934143,
  "faltings_height": -0.18087428528695704,
  "conductor": "1525",
  "bad_primes": [
    "5",
    "61"
  ],
  "discriminant": "465125",
  "regulator": "0.814290832163904975784704835254714683988820",
  "points": [
    [
      "-3",
      "4"
    ],
    [
      "-4",
      "0"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 23:25:07",
  "updated_at": "2026-09-24 23:25:07"
}