{
  "id": 1542,
  "curve_key": "164537174025:-66738610918212453",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-3427857792",
    "77244619601268"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    6
  ],
  "naive_height": 77.47920709060999,
  "faltings_height": 4.126834371887091,
  "conductor": "3091842",
  "bad_primes": [
    "2",
    "3",
    "13",
    "73",
    "181"
  ],
  "discriminant": "224210046590204496952000572",
  "regulator": "31.142208045854742770236733443884557891440740",
  "points": [
    [
      "33507",
      "57366"
    ],
    [
      "28737048/841",
      "2066061930/24389"
    ],
    [
      "97454766",
      "962016558942"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/6. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 00:52:41",
  "updated_at": "2026-09-25 00:52:41"
}