Parameters

Characteristics

• OID:
  1.2.156.10197.1.301

SAGE

p = 0xfffffffeffffffffffffffffffffffffffffffff00000000ffffffffffffffff
K = GF(p)
a = K(0xfffffffeffffffffffffffffffffffffffffffff00000000fffffffffffffffc)
b = K(0x28e9fa9e9d9f5e344d5a9e4bcf6509a7f39789f515ab8f92ddbcbd414d940e93)
E = EllipticCurve(K, (a, b))
G = E(0x32c4ae2c1f1981195f9904466a39c9948fe30bbff2660be1715a4589334c74c7, 0xbc3736a2f4f6779c59bdcee36b692153d0a9877cc62a474002df32e52139f0a0)
E.set_order(0xfffffffeffffffffffffffffffffffff7203df6b21c6052b53bbf40939d54123 * 0x01)

PARI/GP

p = 0xfffffffeffffffffffffffffffffffffffffffff00000000ffffffffffffffff
a = Mod(0xfffffffeffffffffffffffffffffffffffffffff00000000fffffffffffffffc, p)
b = Mod(0x28e9fa9e9d9f5e344d5a9e4bcf6509a7f39789f515ab8f92ddbcbd414d940e93, p)
E = ellinit([a, b])
E[16][1] = 0xfffffffeffffffffffffffffffffffff7203df6b21c6052b53bbf40939d54123 * 0x01
G = [Mod(0x32c4ae2c1f1981195f9904466a39c9948fe30bbff2660be1715a4589334c74c7, p), Mod(0xbc3736a2f4f6779c59bdcee36b692153d0a9877cc62a474002df32e52139f0a0, p)]

JSON

{
  "name": "SM2",
  "desc": "",
  "oid": "1.2.156.10197.1.301",
  "form": "Weierstrass",
  "field": {
    "type": "Prime",
    "p": "0xfffffffeffffffffffffffffffffffffffffffff00000000ffffffffffffffff",
    "bits": 256
  },
  "params": {
    "a": {
      "raw": "0xfffffffeffffffffffffffffffffffffffffffff00000000fffffffffffffffc"
    },
    "b": {
      "raw": "0x28e9fa9e9d9f5e344d5a9e4bcf6509a7f39789f515ab8f92ddbcbd414d940e93"
    }
  },
  "generator": {
    "x": {
      "raw": "0x32c4ae2c1f1981195f9904466a39c9948fe30bbff2660be1715a4589334c74c7"
    },
    "y": {
      "raw": "0xbc3736a2f4f6779c59bdcee36b692153d0a9877cc62a474002df32e52139f0a0"
    }
  },
  "order": "0xfffffffeffffffffffffffffffffffff7203df6b21c6052b53bbf40939d54123",
  "cofactor": "0x01"
}