Parameters

Sources

• ANSI X9.63

Characteristics

• OID:
  1.3.132.0.9
• j-invariant:
  0
• Trace of Frobenius:
  -2082454586705745521609279
• Discriminant:
  1461501637330902918203684832716283019651637533123
• Embedding degree:
  730750818665451459101843457585434862698579581785
• CM-discriminant:
  -3
• Conductor:
  709316441754974472566021

SAGE

p = 0xfffffffffffffffffffffffffffffffeffffac73
K = GF(p)
a = K(0x0)
b = K(0x7)
E = EllipticCurve(K, (a, b))
G = E(0x3b4c382ce37aa192a4019e763036f4f5dd4d7ebb, 0x938cf935318fdced6bc28286531733c3f03c4fee)
E.set_order(0x0100000000000000000001b8fa16dfab9aca16b6b3 * 0x1)

PARI/GP

p = 0xfffffffffffffffffffffffffffffffeffffac73
a = Mod(0x0, p)
b = Mod(0x7, p)
E = ellinit([a, b])
E[16][1] = 0x0100000000000000000001b8fa16dfab9aca16b6b3 * 0x1
G = [Mod(0x3b4c382ce37aa192a4019e763036f4f5dd4d7ebb, p), Mod(0x938cf935318fdced6bc28286531733c3f03c4fee, p)]

JSON

{
  "name": "ansip160k1",
  "desc": "",
  "oid": "1.3.132.0.9",
  "sources": [
    {
      "name": "ANSI X9.63",
      "url": "https://webstore.ansi.org/standards/ascx9/ansix9632011r2017"
    }
  ],
  "form": "Weierstrass",
  "field": {
    "type": "Prime",
    "p": "0xfffffffffffffffffffffffffffffffeffffac73",
    "bits": 160
  },
  "params": {
    "a": {
      "raw": "0x0"
    },
    "b": {
      "raw": "0x7"
    }
  },
  "generator": {
    "x": {
      "raw": "0x3b4c382ce37aa192a4019e763036f4f5dd4d7ebb"
    },
    "y": {
      "raw": "0x938cf935318fdced6bc28286531733c3f03c4fee"
    }
  },
  "order": "0x0100000000000000000001b8fa16dfab9aca16b6b3",
  "cofactor": "0x1",
  "aliases": [
    "secg/secp160k1"
  ],
  "characteristics": {
    "cm_disc": "-3",
    "conductor": "709316441754974472566021",
    "discriminant": "1461501637330902918203684832716283019651637533123",
    "j_invariant": "0",
    "embedding_degree": "730750818665451459101843457585434862698579581785",
    "trace_of_frobenius": "-2082454586705745521609279"
  }
}