{
  "id": 1570,
  "curve_key": "2976942377769361:-162424574472536380579609",
  "ainvs": [
    "1",
    "0",
    "0",
    "-62019632870195",
    "187991400471206960562"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    8
  ],
  "naive_height": 106.88901936285684,
  "faltings_height": 6.53282606215163,
  "conductor": "880838805",
  "bad_primes": [
    "3",
    "5",
    "7",
    "11",
    "31",
    "73",
    "337"
  ],
  "discriminant": "274556712288389653515745189039215234375",
  "regulator": "105.26080808544308733140634418499684281477117",
  "points": [
    [
      "1365892429/361",
      "18768485404537/6859"
    ],
    [
      "894761263/196",
      "141453226739/2744"
    ],
    [
      "6105808291/1369",
      "15925889854204/50653"
    ]
  ],
  "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 01:14:19",
  "updated_at": "2026-09-25 01:14:19"
}