A randomly generated curve. SEC2v1 states 'E was chosen verifiably at random as specified in ANSI X9.62 1 from the seed'.

Parameters

Characteristics

• OID:
  1.3.132.0.6
• Seed:
  00F50B028E4D696E676875615175290472783FB1
• j-invariant:
  3522606870331875081851146801233610
• Trace of Frobenius:
  -4407293269000505
• Discriminant:
  431641039663814096123514803737201
• Anomalous:
  false
• Supersingular:
  false
• Embedding degree:
  4451685225093714776491891542548932
• CM-discriminant:
  17806740900374859092745686363194213
• 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 * 0x01)

PARI/GP

p = 0xdb7c2abf62e35e668076bead208b
a = Mod(0xdb7c2abf62e35e668076bead2088, p)
b = Mod(0x659ef8ba043916eede8911702b22, p)
E = ellinit([a, b])
E[16][1] = 0xdb7c2abf62e35e7628dfac6561c5 * 0x01
G = [Mod(0x09487239995a5ee76b55f9c2f098, p), Mod(0xa89ce5af8724c0a23e0e0ff77500, p)]

JSON

{
  "name": "secp112r1",
  "desc": "A randomly generated curve. [SEC2v1](https://www.secg.org/SEC2-Ver-1.0.pdf) states 'E was chosen verifiably at random as specified in ANSI X9.62 [1] from the seed'.",
  "oid": "1.3.132.0.6",
  "form": "Weierstrass",
  "field": {
    "type": "Prime",
    "p": "0xdb7c2abf62e35e668076bead208b",
    "bits": 112
  },
  "params": {
    "a": {
      "raw": "0xdb7c2abf62e35e668076bead2088"
    },
    "b": {
      "raw": "0x659ef8ba043916eede8911702b22"
    }
  },
  "generator": {
    "x": {
      "raw": "0x09487239995a5ee76b55f9c2f098"
    },
    "y": {
      "raw": "0xa89ce5af8724c0a23e0e0ff77500"
    }
  },
  "order": "0xdb7c2abf62e35e7628dfac6561c5",
  "cofactor": "0x01",
  "aliases": [
    "wtls/wap-wsg-idm-ecid-wtls6"
  ],
  "characteristics": {
    "seed": "00F50B028E4D696E676875615175290472783FB1",
    "j_invariant": "3522606870331875081851146801233610",
    "anomalous": false,
    "cm_disc": "17806740900374859092745686363194213",
    "conductor": "1",
    "discriminant": "431641039663814096123514803737201",
    "embedding_degree": "4451685225093714776491891542548932",
    "torsion_degrees": [
      {
        "full": 3,
        "least": 3,
        "r": 2
      },
      {
        "full": 8,
        "least": 8,
        "r": 3
      },
      {
        "full": 8,
        "least": 8,
        "r": 5
      },
      {
        "full": 6,
        "least": 3,
        "r": 7
      },
      {
        "full": 120,
        "least": 120,
        "r": 11
      },
      {
        "full": 24,
        "least": 24,
        "r": 13
      },
      {
        "full": 16,
        "least": 8,
        "r": 17
      },
      {
        "full": 360,
        "least": 360,
        "r": 19
      }
    ],
    "supersingular": false,
    "trace_of_frobenius": "-4407293269000505"
  }
}