Parameters

Characteristics

• OID:
  1.3.132.0.3
• j-invariant:
  1
• Trace of Frobenius:
  -1879124296849029916489117776215138963
• Discriminant:
  1
• Anomalous:
  false
• Supersingular:
  false
• CM-discriminant:
  3533694129556768659166595001485837033534092090600267832732330178800378515
• Conductor:
  1

SAGE

F.<x> = GF(2)[]
K = GF(2^239, name="x", modulus= x^239 +  x^158 + 1)
E = EllipticCurve(K, (1, K.fetch_int(0x000000000000000000000000000000000000000000000000000000000000), 0, 0, K.fetch_int(0x000000000000000000000000000000000000000000000000000000000001)))
E.set_order(0x2000000000000000000000000000005a79fec67cb6e91f1c1da800e478a5 * 0x4)
G = E(K.fetch_int(0x29a0b6a887a983e9730988a68727a8b2d126c44cc2cc7b2a6555193035dc), K.fetch_int(0x76310804f12e549bdb011c103089e73510acb275fc312a5dc6b76553f0ca))

JSON

{
  "name": "sect239k1",
  "desc": "",
  "oid": "1.3.132.0.3",
  "form": "Weierstrass",
  "field": {
    "type": "Binary",
    "bits": 239,
    "degree": 239,
    "poly": [
      {
        "coeff": "0x01",
        "power": 239
      },
      {
        "coeff": "0x01",
        "power": 158
      },
      {
        "coeff": "0x01",
        "power": 0
      }
    ],
    "basis": "poly"
  },
  "params": {
    "a": {
      "raw": "0x000000000000000000000000000000000000000000000000000000000000"
    },
    "b": {
      "raw": "0x000000000000000000000000000000000000000000000000000000000001"
    }
  },
  "generator": {
    "x": {
      "raw": "0x29a0b6a887a983e9730988a68727a8b2d126c44cc2cc7b2a6555193035dc"
    },
    "y": {
      "raw": "0x76310804f12e549bdb011c103089e73510acb275fc312a5dc6b76553f0ca"
    }
  },
  "order": "0x2000000000000000000000000000005a79fec67cb6e91f1c1da800e478a5",
  "cofactor": "0x4",
  "aliases": [
    "x963/ansit239k1"
  ],
  "characteristics": {
    "j_invariant": "1",
    "anomalous": false,
    "cm_disc": "3533694129556768659166595001485837033534092090600267832732330178800378515",
    "conductor": "1",
    "discriminant": "1",
    "supersingular": false,
    "trace_of_frobenius": "-1879124296849029916489117776215138963"
  }
}