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:
  10645212201358918293285700717383548584210379438309664077630020268190
• Trace of Frobenius:
  -5342559675359700677494927007229677
• Discriminant:
  17490284553887457659251114469261701836682958254340669915071414531664
• Embedding degree:
  21174292597673270169193562049053723134442099121024262551089688143308
• CM-discriminant:
  -56154226505913530382335709527037150072202594880026357475224494130195
• Conductor:
  1

SAGE

p = 0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbedf
K = GF(p)
a = K(0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbedc)
b = K(0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c583ce2d3695a9e13a03)
E = EllipticCurve(K, (a, b))
# No generator defined
E.set_order(0xc90fdaa22168c234c4c6628b80dd2439be5b2b827a9ffbea7240e5cd * 0x01)

PARI/GP

p = 0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbedf
a = Mod(0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbedc, p)
b = Mod(0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c583ce2d3695a9e13a03, p)
E = ellinit([a, b])
E[16][1] = 0xc90fdaa22168c234c4c6628b80dd2439be5b2b827a9ffbea7240e5cd * 0x01
\\ No generator defined

JSON

{
  "name": "ssc-224",
  "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": "0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbedf",
    "bits": 224
  },
  "params": {
    "a": {
      "raw": "0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbedc"
    },
    "b": {
      "raw": "0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c583ce2d3695a9e13a03"
    }
  },
  "order": "0xc90fdaa22168c234c4c6628b80dd2439be5b2b827a9ffbea7240e5cd",
  "cofactor": "0x01",
  "characteristics": {
    "cm_disc": "-56154226505913530382335709527037150072202594880026357475224494130195",
    "conductor": "1",
    "discriminant": "17490284553887457659251114469261701836682958254340669915071414531664",
    "j_invariant": "10645212201358918293285700717383548584210379438309664077630020268190",
    "embedding_degree": "21174292597673270169193562049053723134442099121024262551089688143308",
    "trace_of_frobenius": "-5342559675359700677494927007229677"
  }
}