Parameters

Sources

• Wireless Application Protocol Wireless Transport Layer Security Specification

Characteristics

• OID:
  2.23.43.1.4.9
• j-invariant:
  0
• Trace of Frobenius:
  -2180728751409538655993507
• Discriminant:
  1461501637330902918203684832716283019655932309855
• Embedding degree:
  243583606221817153033947835574172404865764717875
• CM-discriminant:
  -3
• Conductor:
  602889891024722752429129

SAGE

p = 0xfffffffffffffffffffffffffffffffffffc808f
K = GF(p)
a = K(0x0)
b = K(0x3)
E = EllipticCurve(K, (a, b))
G = E(0x1, 0x2)
E.set_order(0x0100000000000000000001cdc98ae0e2de574abf33 * 0x1)

PARI/GP

p = 0xfffffffffffffffffffffffffffffffffffc808f
a = Mod(0x0, p)
b = Mod(0x3, p)
E = ellinit([a, b])
E[16][1] = 0x0100000000000000000001cdc98ae0e2de574abf33 * 0x1
G = [Mod(0x1, p), Mod(0x2, p)]

JSON

{
  "name": "wap-wsg-idm-ecid-wtls9",
  "desc": "",
  "oid": "2.23.43.1.4.9",
  "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": 160,
    "p": "0xfffffffffffffffffffffffffffffffffffc808f",
    "type": "Prime"
  },
  "params": {
    "a": {
      "raw": "0x0"
    },
    "b": {
      "raw": "0x3"
    }
  },
  "generator": {
    "x": {
      "raw": "0x1"
    },
    "y": {
      "raw": "0x2"
    }
  },
  "order": "0x0100000000000000000001cdc98ae0e2de574abf33",
  "cofactor": "0x1",
  "characteristics": {
    "cm_disc": "-3",
    "conductor": "602889891024722752429129",
    "discriminant": "1461501637330902918203684832716283019655932309855",
    "j_invariant": "0",
    "embedding_degree": "243583606221817153033947835574172404865764717875",
    "trace_of_frobenius": "-2180728751409538655993507"
  }
}