{
  "id": 1525,
  "curve_key": "-2412975:-764717625",
  "ainvs": [
    "1",
    "-1",
    "1",
    "50270",
    "872522"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    4
  ],
  "naive_height": 44.089112952019384,
  "faltings_height": 1.7455216903046025,
  "conductor": "457025",
  "bad_primes": [
    "5",
    "101",
    "181"
  ],
  "discriminant": "-8468874626640625",
  "regulator": "58.264822459609949758724113626280888454071218",
  "points": [
    [
      "134",
      "3095"
    ],
    [
      "434",
      "9995"
    ],
    [
      "489",
      "11680"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/4. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 00:49:50",
  "updated_at": "2026-09-25 00:49:50"
}