Parameters

Characteristics

• OID:
  1.3.132.0.4
• j-invariant:
  2134952494010276499078092765136077
• Trace of Frobenius:
  -122610772499221213
• Discriminant:
  4720643197658441292834747278018339

SAGE

F.<x> = GF(2)[]
K = GF(2^113, name="x", modulus=u^113 +  u^9 + 1)
E = EllipticCurve(K, (1, K.from_integer(0x003088250ca6e7c7fe649ce85820f7), 0, 0, K.from_integer(0x00e8bee4d3e2260744188be0e9c723)))
E.set_order(0x0100000000000000d9ccec8a39e56f * 0x2)
G = E(K.from_integer(0x009d73616f35f4ab1407d73562c10f), K.from_integer(0x00a52830277958ee84d1315ed31886))

JSON

{
  "name": "sect113r1",
  "desc": "",
  "oid": "1.3.132.0.4",
  "form": "Weierstrass",
  "field": {
    "type": "Binary",
    "bits": 113,
    "poly": [
      {
        "power": 113,
        "coeff": "0x01"
      },
      {
        "power": 9,
        "coeff": "0x01"
      },
      {
        "power": 0,
        "coeff": "0x01"
      }
    ],
    "degree": 113,
    "basis": "poly"
  },
  "params": {
    "a": {
      "raw": "0x003088250ca6e7c7fe649ce85820f7"
    },
    "b": {
      "raw": "0x00e8bee4d3e2260744188be0e9c723"
    }
  },
  "generator": {
    "x": {
      "raw": "0x009d73616f35f4ab1407d73562c10f"
    },
    "y": {
      "raw": "0x00a52830277958ee84d1315ed31886"
    }
  },
  "order": "0x0100000000000000d9ccec8a39e56f",
  "cofactor": "0x2",
  "aliases": [
    "wtls/wap-wsg-idm-ecid-wtls4"
  ],
  "characteristics": {
    "discriminant": "4720643197658441292834747278018339",
    "j_invariant": "2134952494010276499078092765136077",
    "trace_of_frobenius": "-122610772499221213"
  }
}