{
  "id": 1515,
  "curve_key": "39616:-8230400",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-825",
    "9801"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2
  ],
  "naive_height": 31.846690348290657,
  "faltings_height": 0.5842749664352395,
  "conductor": "80256",
  "bad_primes": [
    "2",
    "3",
    "11",
    "19"
  ],
  "discriminant": "-3220512768",
  "regulator": "0.83188845131482684596405302548819427384967183",
  "points": [
    [
      "33",
      "-132"
    ],
    [
      "11",
      "44"
    ],
    [
      "-11",
      "132"
    ]
  ],
  "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 00:46:19",
  "updated_at": "2026-09-25 00:46:19"
}