Defined in IETF in RFC2409, no generator present.

Parameters

Sources

• RFC2409

Characteristics

• j-invariant:
  34837375998431887600960682496879104498140954442
• Trace of Frobenius:
  -414891960790832521345347
• Discriminant:
  471951

SAGE

F.<x> = GF(2)[]
K = GF(2^155, name="x", modulus=u^155 +  u^62 + 1)
E = EllipticCurve(K, (1, K.from_integer(0x0), 0, 0, K.from_integer(0x07338f)))
E.set_order(0x0800000000000000000057db5698537193aef944 * 0x01)
# No generator defined

JSON

{
  "name": "Oakley Group 3",
  "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": 155,
        "coeff": "0x01"
      },
      {
        "power": 62,
        "coeff": "0x01"
      },
      {
        "power": 0,
        "coeff": "0x01"
      }
    ],
    "bits": 155,
    "degree": 155,
    "basis": "poly"
  },
  "params": {
    "a": {
      "raw": "0x0"
    },
    "b": {
      "raw": "0x07338f"
    }
  },
  "order": "0x0800000000000000000057db5698537193aef944",
  "cofactor": "0x01",
  "characteristics": {
    "discriminant": "471951",
    "j_invariant": "34837375998431887600960682496879104498140954442",
    "trace_of_frobenius": "-414891960790832521345347"
  }
}