{
  "id": 1670,
  "curve_key": "168089365639561:-1747490143117262315941",
  "ainvs": [
    "1",
    "0",
    "1",
    "-3501861784158",
    "2022557744193534556"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    6
  ],
  "naive_height": 98.26655067670046,
  "faltings_height": 6.197041715126573,
  "conductor": "50250886947030",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "23",
    "29",
    "31",
    "89",
    "11821"
  ],
  "discriminant": "981181130155237099516458849261120562500",
  "regulator": "277.043009441706956841484410033481652320767339713",
  "points": [
    [
      "3165815",
      "4759228917"
    ],
    [
      "11478665",
      "38390249067"
    ],
    [
      "5844635/4",
      "-1279180989/8"
    ],
    [
      "258199958/169",
      "1071482718528/2197"
    ],
    [
      "-1855999",
      "-1458041121"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/6. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 02:52:19",
  "updated_at": "2026-09-25 02:52:19"
}