{
  "id": 1331,
  "curve_key": "268547296:-4399047153280",
  "ainvs": [
    "0",
    "1",
    "0",
    "-5594735",
    "5089624849"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "naive_height": 58.225612816129726,
  "faltings_height": 2.592918901179974,
  "conductor": "49159219350656",
  "bad_primes": [
    "2",
    "23",
    "31",
    "41",
    "47",
    "71",
    "127"
  ],
  "discriminant": "8902832942842502912",
  "regulator": "4353.856817995033293313482547666978696619436870492904",
  "points": [
    [
      "1089",
      "17018"
    ],
    [
      "1297",
      "4094"
    ],
    [
      "327",
      "57404"
    ],
    [
      "7047",
      "-561844"
    ],
    [
      "4264",
      "242443"
    ],
    [
      "2769",
      "-104098"
    ],
    [
      "9309/4",
      "547243/8"
    ]
  ],
  "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 17:33:30",
  "updated_at": "2026-09-24 17:33:30"
}