Parameters

Sources

• Wireless Application Protocol Wireless Transport Layer Security Specification

Characteristics

• OID:
  2.23.43.1.4.6
• j-invariant:
  3522606870331875081851146801233610
• Trace of Frobenius:
  -4407293269000505
• Discriminant:
  431641039663814096123514803737201
• Embedding degree:
  4451685225093714776491891542548932
• CM-discriminant:
  -17787316666415881930611191403938683
• Conductor:
  1

SAGE

p = 0xdb7c2abf62e35e668076bead208b
K = GF(p)
a = K(0xdb7c2abf62e35e668076bead2088)
b = K(0x659ef8ba043916eede8911702b22)
E = EllipticCurve(K, (a, b))
G = E(0x09487239995a5ee76b55f9c2f098, 0xa89ce5af8724c0a23e0e0ff77500)
E.set_order(0xdb7c2abf62e35e7628dfac6561c5 * 0x1)

PARI/GP

p = 0xdb7c2abf62e35e668076bead208b
a = Mod(0xdb7c2abf62e35e668076bead2088, p)
b = Mod(0x659ef8ba043916eede8911702b22, p)
E = ellinit([a, b])
E[16][1] = 0xdb7c2abf62e35e7628dfac6561c5 * 0x1
G = [Mod(0x09487239995a5ee76b55f9c2f098, p), Mod(0xa89ce5af8724c0a23e0e0ff77500, p)]

JSON

{
  "name": "wap-wsg-idm-ecid-wtls6",
  "desc": "",
  "oid": "2.23.43.1.4.6",
  "sources": [
    {
      "name": "Wireless Application Protocol Wireless Transport Layer Security Specification",
      "url": "https://www.wapforum.org/tech/documents/WAP-199-WTLS-20000218-a.pdf"
    }
  ],
  "form": "Weierstrass",
  "field": {
    "bits": 112,
    "p": "0xdb7c2abf62e35e668076bead208b",
    "type": "Prime"
  },
  "params": {
    "a": {
      "raw": "0xdb7c2abf62e35e668076bead2088"
    },
    "b": {
      "raw": "0x659ef8ba043916eede8911702b22"
    }
  },
  "generator": {
    "x": {
      "raw": "0x09487239995a5ee76b55f9c2f098"
    },
    "y": {
      "raw": "0xa89ce5af8724c0a23e0e0ff77500"
    }
  },
  "order": "0xdb7c2abf62e35e7628dfac6561c5",
  "cofactor": "0x1",
  "aliases": [
    "secg/secp112r1"
  ],
  "characteristics": {
    "cm_disc": "-17787316666415881930611191403938683",
    "conductor": "1",
    "discriminant": "431641039663814096123514803737201",
    "j_invariant": "3522606870331875081851146801233610",
    "embedding_degree": "4451685225093714776491891542548932",
    "trace_of_frobenius": "-4407293269000505"
  }
}