{
  "id": 1513,
  "curve_key": "15561:844155",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-324",
    "-896"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2
  ],
  "naive_height": 28.95756918905853,
  "faltings_height": 0.46873974466936236,
  "conductor": "69966",
  "bad_primes": [
    "2",
    "3",
    "13",
    "23"
  ],
  "discriminant": "1768180752",
  "regulator": "1.6361524294842749807549366092118626115085150",
  "points": [
    [
      "-4",
      "-16"
    ],
    [
      "20",
      "-28"
    ],
    [
      "32",
      "128"
    ]
  ],
  "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 00:44:18",
  "updated_at": "2026-09-25 00:44:18"
}