{
  "id": 3461,
  "curve_key": "1458238432:-55685582015896",
  "ainvs": [
    "0",
    "1",
    "1",
    "-30379967",
    "64440778455"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    3
  ],
  "naive_height": 63.30148497231119,
  "faltings_height": 2.792644539368658,
  "conductor": "27716849069",
  "bad_primes": [
    "7",
    "13",
    "41",
    "223",
    "4759"
  ],
  "discriminant": "385828544822993909",
  "regulator": "447.881314389693862415454133049511767725812488998",
  "points": [
    [
      "12517/4",
      "41037/8"
    ],
    [
      "3565",
      "38174"
    ],
    [
      "1479",
      "150818"
    ],
    [
      "32561/16",
      "6726961/64"
    ],
    [
      "62409/16",
      "4659987/64"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-27 05:41:06",
  "updated_at": "2026-09-27 05:41:06"
}