{
  "id": 1572,
  "curve_key": "1354777734519841:-49865505291291203847089",
  "ainvs": [
    "1",
    "1",
    "1",
    "-28224536135830",
    "57714693438030318227"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    8
  ],
  "naive_height": 104.52724140666804,
  "faltings_height": 6.316114139575365,
  "conductor": "990867570",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "31",
    "101",
    "137"
  ],
  "discriminant": "12270206888217894205821758353347628800",
  "regulator": "212.90216784812822686147841636381285598371862",
  "points": [
    [
      "11089734257/3721",
      "59150085764451/226981"
    ],
    [
      "3072717",
      "3621871"
    ],
    [
      "267977291/100",
      "1149005427009/1000"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/8. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:16:18",
  "updated_at": "2026-09-25 01:16:18"
}