{
  "id": 1273,
  "curve_key": "24848656:-138693361600",
  "ainvs": [
    "0",
    "1",
    "0",
    "-517680",
    "160352164"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2
  ],
  "naive_height": 51.31106260310012,
  "faltings_height": 2.2517183539878642,
  "conductor": "585882128",
  "bad_primes": [
    "2",
    "13",
    "23",
    "29",
    "41",
    "103"
  ],
  "discriminant": "-2252838045699324928",
  "regulator": "17.8801907165853575051349562978611321600864536243",
  "points": [
    [
      "-166",
      "15548"
    ],
    [
      "3422",
      "196144"
    ],
    [
      "1429/4",
      "36777/8"
    ],
    [
      "6280/9",
      "318734/27"
    ],
    [
      "432",
      "4186"
    ]
  ],
  "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 17:17:20",
  "updated_at": "2026-09-24 17:17:20"
}