Parameters

Sources

• ANSI X9.63

Characteristics

• OID:
  1.3.132.0.32
• j-invariant:
  0
• Trace of Frobenius:
  -9672873182660579502067895643393161
• Discriminant:
  26959946667150639794667015087019630673637144422540572481099315264317
• Embedding degree:
  4493324444525106632444502514503273391085054513853345758165826444713
• CM-discriminant:
  -3
• Conductor:
  2181384198222797443972610423981457

SAGE

p = 0xfffffffffffffffffffffffffffffffffffffffffffffffeffffe56d
K = GF(p)
a = K(0x0)
b = K(0x5)
E = EllipticCurve(K, (a, b))
G = E(0xa1455b334df099df30fc28a169a467e9e47075a90f7e650eb6b7a45c, 0x7e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5)
E.set_order(0x010000000000000000000000000001dce8d2ec6184caf0a971769fb1f7 * 0x1)

PARI/GP

p = 0xfffffffffffffffffffffffffffffffffffffffffffffffeffffe56d
a = Mod(0x0, p)
b = Mod(0x5, p)
E = ellinit([a, b])
E[16][1] = 0x010000000000000000000000000001dce8d2ec6184caf0a971769fb1f7 * 0x1
G = [Mod(0xa1455b334df099df30fc28a169a467e9e47075a90f7e650eb6b7a45c, p), Mod(0x7e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5, p)]

JSON

{
  "name": "ansip224k1",
  "desc": "",
  "oid": "1.3.132.0.32",
  "sources": [
    {
      "name": "ANSI X9.63",
      "url": "https://webstore.ansi.org/standards/ascx9/ansix9632011r2017"
    }
  ],
  "form": "Weierstrass",
  "field": {
    "type": "Prime",
    "p": "0xfffffffffffffffffffffffffffffffffffffffffffffffeffffe56d",
    "bits": 224
  },
  "params": {
    "a": {
      "raw": "0x0"
    },
    "b": {
      "raw": "0x5"
    }
  },
  "generator": {
    "x": {
      "raw": "0xa1455b334df099df30fc28a169a467e9e47075a90f7e650eb6b7a45c"
    },
    "y": {
      "raw": "0x7e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5"
    }
  },
  "order": "0x010000000000000000000000000001dce8d2ec6184caf0a971769fb1f7",
  "cofactor": "0x1",
  "aliases": [
    "secg/secp224k1"
  ],
  "characteristics": {
    "cm_disc": "-3",
    "conductor": "2181384198222797443972610423981457",
    "discriminant": "26959946667150639794667015087019630673637144422540572481099315264317",
    "j_invariant": "0",
    "embedding_degree": "4493324444525106632444502514503273391085054513853345758165826444713",
    "trace_of_frobenius": "-9672873182660579502067895643393161"
  }
}