Parameters

Sources

• ANSI X9.62

Characteristics

• OID:
  1.2.840.10045.3.0.12
• Seed:
  2AA6982FDFA4D696E676875615175D266727277D
• j-invariant:
  43723980099467472824444544978019376358114340692830890106776198022851221
• Trace of Frobenius:
  775701775700413337265223005219721971
• Discriminant:
  553647189540576539752324484531275027280692922701128769940876325020350283

SAGE

F.<x> = GF(2)[]
K = GF(2^239, name="x", modulus=u^239 +  u^36 + 1)
E = EllipticCurve(K, (1, K.from_integer(0x4230017757a767fae42398569b746325d45313af0766266479b75654e65f), 0, 0, K.from_integer(0x5037ea654196cff0cd82b2c14a2fcf2e3ff8775285b545722f03eacdb74b)))
E.set_order(0x1555555555555555555555555555553c6f2885259c31e3fcdf154624522d * 0x6)
G = E(K.from_integer(0x28f9d04e900069c8dc47a08534fe76d2b900b7d7ef31f5709f200c4ca205), K.from_integer(0x5667334c45aff3b5a03bad9dd75e2c71a99362567d5453f7fa6e227ec833))

JSON

{
  "name": "c2tnb239v2",
  "desc": "",
  "oid": "1.2.840.10045.3.0.12",
  "sources": [
    {
      "name": "ANSI X9.62",
      "url": "https://webstore.ansi.org/standards/ascx9/ansix9621998"
    }
  ],
  "form": "Weierstrass",
  "field": {
    "type": "Binary",
    "bits": 239,
    "degree": 239,
    "poly": [
      {
        "power": 239,
        "coeff": "0x01"
      },
      {
        "power": 36,
        "coeff": "0x01"
      },
      {
        "power": 0,
        "coeff": "0x01"
      }
    ],
    "basis": "poly"
  },
  "params": {
    "a": {
      "raw": "0x4230017757a767fae42398569b746325d45313af0766266479b75654e65f"
    },
    "b": {
      "raw": "0x5037ea654196cff0cd82b2c14a2fcf2e3ff8775285b545722f03eacdb74b"
    }
  },
  "generator": {
    "x": {
      "raw": "0x28f9d04e900069c8dc47a08534fe76d2b900b7d7ef31f5709f200c4ca205"
    },
    "y": {
      "raw": "0x5667334c45aff3b5a03bad9dd75e2c71a99362567d5453f7fa6e227ec833"
    }
  },
  "order": "0x1555555555555555555555555555553c6f2885259c31e3fcdf154624522d",
  "cofactor": "0x6",
  "characteristics": {
    "seed": "2AA6982FDFA4D696E676875615175D266727277D",
    "discriminant": "553647189540576539752324484531275027280692922701128769940876325020350283",
    "j_invariant": "43723980099467472824444544978019376358114340692830890106776198022851221",
    "trace_of_frobenius": "775701775700413337265223005219721971"
  }
}