{
  "id": 1348,
  "curve_key": "32540197696:-5569561493194240",
  "ainvs": [
    "0",
    "1",
    "0",
    "-677920785",
    "6446025754639"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "naive_height": 72.61722604258556,
  "faltings_height": 3.992035087887332,
  "conductor": "31226965890509248",
  "bad_primes": [
    "2",
    "17",
    "23",
    "31",
    "71",
    "577",
    "593",
    "1657"
  ],
  "discriminant": "1988219811065421206264102912",
  "regulator": "19447.4522447273999485469145244588114849515690249404624",
  "points": [
    [
      "-12079",
      "3587816"
    ],
    [
      "18419",
      "456688"
    ],
    [
      "18810",
      "591583"
    ],
    [
      "2507",
      "2182256"
    ],
    [
      "20595",
      "1104592"
    ],
    [
      "-21565",
      "3322208"
    ],
    [
      "109131",
      "35102416"
    ],
    [
      "17867",
      "193936"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:36:28",
  "updated_at": "2026-09-24 17:36:28"
}