Parameters

Sources

• ANSI X9.63

Characteristics

• OID:
  1.3.132.0.30
• j-invariant:
  1027058635636405814575941827615445452503699747171
• Trace of Frobenius:
  -250855509121001538581751
• Discriminant:
  1237703873357928705511536972446330043119280998656
• Embedding degree:
  730750818665451459101842541785896070326588068021
• CM-discriminant:
  -5783078062867254786698681388093463102802039991163
• Conductor:
  1

SAGE

p = 0xfffffffffffffffffffffffffffffffeffffac73
K = GF(p)
a = K(0xfffffffffffffffffffffffffffffffeffffac70)
b = K(0xb4e134d3fb59eb8bab57274904664d5af50388ba)
E = EllipticCurve(K, (a, b))
G = E(0x52dcb034293a117e1f4ff11b30f7199d3144ce6d, 0xfeaffef2e331f296e071fa0df9982cfea7d43f2e)
E.set_order(0x0100000000000000000000351ee786a818f3a1a16b * 0x1)

PARI/GP

p = 0xfffffffffffffffffffffffffffffffeffffac73
a = Mod(0xfffffffffffffffffffffffffffffffeffffac70, p)
b = Mod(0xb4e134d3fb59eb8bab57274904664d5af50388ba, p)
E = ellinit([a, b])
E[16][1] = 0x0100000000000000000000351ee786a818f3a1a16b * 0x1
G = [Mod(0x52dcb034293a117e1f4ff11b30f7199d3144ce6d, p), Mod(0xfeaffef2e331f296e071fa0df9982cfea7d43f2e, p)]

JSON

{
  "name": "ansip160r2",
  "desc": "",
  "oid": "1.3.132.0.30",
  "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": "0xfffffffffffffffffffffffffffffffeffffac70"
    },
    "b": {
      "raw": "0xb4e134d3fb59eb8bab57274904664d5af50388ba"
    }
  },
  "generator": {
    "x": {
      "raw": "0x52dcb034293a117e1f4ff11b30f7199d3144ce6d"
    },
    "y": {
      "raw": "0xfeaffef2e331f296e071fa0df9982cfea7d43f2e"
    }
  },
  "order": "0x0100000000000000000000351ee786a818f3a1a16b",
  "cofactor": "0x1",
  "aliases": [
    "secg/secp160r2"
  ],
  "characteristics": {
    "cm_disc": "-5783078062867254786698681388093463102802039991163",
    "conductor": "1",
    "discriminant": "1237703873357928705511536972446330043119280998656",
    "j_invariant": "1027058635636405814575941827615445452503699747171",
    "embedding_degree": "730750818665451459101842541785896070326588068021",
    "trace_of_frobenius": "-250855509121001538581751"
  }
}