{
  "id": 1514,
  "curve_key": "127881:-45150885",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-2664",
    "52924"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2
  ],
  "naive_height": 35.276566268922885,
  "faltings_height": 0.815313334949335,
  "conductor": "69966",
  "bad_primes": [
    "2",
    "3",
    "13",
    "23"
  ],
  "discriminant": "30501117972",
  "regulator": "0.81807621474213749037746830460593130575425752",
  "points": [
    [
      "50",
      "182"
    ],
    [
      "23",
      "47"
    ],
    [
      "257",
      "3908"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 00:45:19",
  "updated_at": "2026-09-25 00:45:19"
}