Parameters

Sources

• ANSI X9.63

Characteristics

• OID:
  1.3.132.0.8
• j-invariant:
  1443800352525525475817269232308576710441299733598
• Trace of Frobenius:
  -2364890543760230858433111
• Discriminant:
  1027266213310721979572908445837817790068480350785
• Embedding degree:
  1461501637330902918203687197606826779884643492438
• CM-discriminant:
  -253299265357051288026316368812641220149079098987
• Conductor:
  1

SAGE

p = 0xffffffffffffffffffffffffffffffff7fffffff
K = GF(p)
a = K(0xffffffffffffffffffffffffffffffff7ffffffc)
b = K(0x1c97befc54bd7a8b65acf89f81d4d4adc565fa45)
E = EllipticCurve(K, (a, b))
G = E(0x4a96b5688ef573284664698968c38bb913cbfc82, 0x23a628553168947d59dcc912042351377ac5fb32)
E.set_order(0x0100000000000000000001f4c8f927aed3ca752257 * 0x1)

PARI/GP

p = 0xffffffffffffffffffffffffffffffff7fffffff
a = Mod(0xffffffffffffffffffffffffffffffff7ffffffc, p)
b = Mod(0x1c97befc54bd7a8b65acf89f81d4d4adc565fa45, p)
E = ellinit([a, b])
E[16][1] = 0x0100000000000000000001f4c8f927aed3ca752257 * 0x1
G = [Mod(0x4a96b5688ef573284664698968c38bb913cbfc82, p), Mod(0x23a628553168947d59dcc912042351377ac5fb32, p)]

JSON

{
  "name": "ansip160r1",
  "desc": "",
  "oid": "1.3.132.0.8",
  "sources": [
    {
      "name": "ANSI X9.63",
      "url": "https://webstore.ansi.org/standards/ascx9/ansix9632011r2017"
    }
  ],
  "form": "Weierstrass",
  "field": {
    "type": "Prime",
    "p": "0xffffffffffffffffffffffffffffffff7fffffff",
    "bits": 160
  },
  "params": {
    "a": {
      "raw": "0xffffffffffffffffffffffffffffffff7ffffffc"
    },
    "b": {
      "raw": "0x1c97befc54bd7a8b65acf89f81d4d4adc565fa45"
    }
  },
  "generator": {
    "x": {
      "raw": "0x4a96b5688ef573284664698968c38bb913cbfc82"
    },
    "y": {
      "raw": "0x23a628553168947d59dcc912042351377ac5fb32"
    }
  },
  "order": "0x0100000000000000000001f4c8f927aed3ca752257",
  "cofactor": "0x1",
  "aliases": [
    "secg/secp160r1",
    "wtls/wap-wsg-idm-ecid-wtls7"
  ],
  "characteristics": {
    "cm_disc": "-253299265357051288026316368812641220149079098987",
    "conductor": "1",
    "discriminant": "1027266213310721979572908445837817790068480350785",
    "j_invariant": "1443800352525525475817269232308576710441299733598",
    "embedding_degree": "1461501637330902918203687197606826779884643492438",
    "trace_of_frobenius": "-2364890543760230858433111"
  }
}