Defined in IETF in RFC2409, no generator present.

Parameters

Sources

• RFC2409

Characteristics

• j-invariant:
  27158933884363704516225847729773021777085202972610116343
• Trace of Frobenius:
  11157211627747266908830216517
• Discriminant:
  7913

SAGE

F.<x> = GF(2)[]
K = GF(2^185, name="x", modulus=u^185 +  u^69 + 1)
E = EllipticCurve(K, (1, K.from_integer(0x0), 0, 0, K.from_integer(0x1ee9)))
E.set_order(0x01ffffffffffffffffffffffdbf2f889b73e484175f94ebc * 0x01)
# No generator defined

JSON

{
  "name": "Oakley Group 4",
  "desc": "Defined in IETF in RFC2409, no generator present.",
  "sources": [
    {
      "name": "RFC2409",
      "url": "https://tools.ietf.org/html/rfc2409"
    }
  ],
  "form": "Weierstrass",
  "field": {
    "type": "Binary",
    "poly": [
      {
        "power": 185,
        "coeff": "0x01"
      },
      {
        "power": 69,
        "coeff": "0x01"
      },
      {
        "power": 0,
        "coeff": "0x01"
      }
    ],
    "bits": 185,
    "degree": 185,
    "basis": "poly"
  },
  "params": {
    "a": {
      "raw": "0x0"
    },
    "b": {
      "raw": "0x1ee9"
    }
  },
  "order": "0x01ffffffffffffffffffffffdbf2f889b73e484175f94ebc",
  "cofactor": "0x01",
  "characteristics": {
    "discriminant": "7913",
    "j_invariant": "27158933884363704516225847729773021777085202972610116343",
    "trace_of_frobenius": "11157211627747266908830216517"
  }
}