{
  "id": 1350,
  "curve_key": "27339295936:-4417508551905280",
  "ainvs": [
    "0",
    "1",
    "0",
    "-569568665",
    "5112667264039"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "naive_height": 72.09477274725784,
  "faltings_height": 3.909990280281177,
  "conductor": "65155172589047744",
  "bad_primes": [
    "2",
    "7",
    "31",
    "41",
    "113",
    "127",
    "1721"
  ],
  "discriminant": "532420327846451128150986752",
  "regulator": "19603.1175130692059043909460113256836237182950893251100",
  "points": [
    [
      "-13259",
      "3214624"
    ],
    [
      "29455",
      "-3727192"
    ],
    [
      "-305",
      "2299208"
    ],
    [
      "-5385",
      "2832608"
    ],
    [
      "-22430/9",
      "-68925059/27"
    ],
    [
      "-21621",
      "2705672"
    ],
    [
      "5029",
      "-1541272"
    ],
    [
      "16001",
      "-309876"
    ]
  ],
  "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 17:36:48",
  "updated_at": "2026-09-24 17:36:48"
}