{
  "id": 3448,
  "curve_key": "1964770297:-87079791348109",
  "ainvs": [
    "1",
    "0",
    "1",
    "-40932715",
    "100783384482"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    3
  ],
  "naive_height": 64.19592353470082,
  "faltings_height": 3.0499138578477485,
  "conductor": "16619239546",
  "bad_primes": [
    "2",
    "7",
    "13",
    "41",
    "373",
    "853"
  ],
  "discriminant": "1016533506829348089764",
  "regulator": "139.244160847199024580008046093179616019864034182",
  "points": [
    [
      "2741",
      "94452"
    ],
    [
      "31585/9",
      "463756/27"
    ],
    [
      "2325",
      "133686"
    ],
    [
      "726",
      "266936"
    ],
    [
      "243609/25",
      "98385538/125"
    ]
  ],
  "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 05:35:22",
  "updated_at": "2026-09-27 05:35:22"
}