A prime order curve from MIRACL: https://github.com/miracl/MIRACL/blob/master/docs/miracl-explained/miracl-standard-curves.md. Has no generator specified.

Parameters

Sources

• MIRACL Standard Curves

Characteristics

• j-invariant:
  405764438783332602209577223180909795771115356022
• Trace of Frobenius:
  651321219629903728864297
• Discriminant:
  504621172454959895148585103641058477622915535613
• Embedding degree:
  573930350881027365173100324307304076104904945915
• CM-discriminant:
  -4167223475908033630914947676870079338908713720299
• Conductor:
  1

SAGE

p = 0xc90fdaa22168c234c4c6628b80dc1cd129024e1f
K = GF(p)
a = K(0xc90fdaa22168c234c4c6628b80dc1cd129024e1c)
b = K(0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c841)
E = EllipticCurve(K, (a, b))
# No generator defined
E.set_order(0xc90fdaa22168c234c4c5d89f4f2dd72349ee61f7 * 0x01)

PARI/GP

p = 0xc90fdaa22168c234c4c6628b80dc1cd129024e1f
a = Mod(0xc90fdaa22168c234c4c6628b80dc1cd129024e1c, p)
b = Mod(0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c841, p)
E = ellinit([a, b])
E[16][1] = 0xc90fdaa22168c234c4c5d89f4f2dd72349ee61f7 * 0x01
\\ No generator defined

JSON

{
  "name": "ssc-160",
  "desc": "A prime order curve from MIRACL: https://github.com/miracl/MIRACL/blob/master/docs/miracl-explained/miracl-standard-curves.md. Has no generator specified.",
  "sources": [
    {
      "name": "MIRACL Standard Curves",
      "url": "https://github.com/miracl/MIRACL/blob/master/docs/miracl-explained/miracl-standard-curves.md"
    }
  ],
  "form": "Weierstrass",
  "field": {
    "type": "Prime",
    "p": "0xc90fdaa22168c234c4c6628b80dc1cd129024e1f",
    "bits": 160
  },
  "params": {
    "a": {
      "raw": "0xc90fdaa22168c234c4c6628b80dc1cd129024e1c"
    },
    "b": {
      "raw": "0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c841"
    }
  },
  "order": "0xc90fdaa22168c234c4c5d89f4f2dd72349ee61f7",
  "cofactor": "0x01",
  "characteristics": {
    "cm_disc": "-4167223475908033630914947676870079338908713720299",
    "conductor": "1",
    "discriminant": "504621172454959895148585103641058477622915535613",
    "j_invariant": "405764438783332602209577223180909795771115356022",
    "embedding_degree": "573930350881027365173100324307304076104904945915",
    "trace_of_frobenius": "651321219629903728864297"
  }
}