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:
  31162795859851145144231857149212667595248858040255763075346681358086208915431
• Trace of Frobenius:
  59929715926598057813127459560221398997
• Discriminant:
  60822768933280325566696204913637387660445713943368464092467545811648981034770
• Embedding degree:
  45471447111470790535029367847216232831644207308085754715939955159962251108891
• CM-discriminant:
  -40020000671191509263673608690492641910104408280738782855468068664198113540123
• Conductor:
  3

SAGE

p = 0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139c0b
K = GF(p)
a = K(0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139c08)
b = K(0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c583ce2d3695a9e13641146434e1)
E = EllipticCurve(K, (a, b))
# No generator defined
E.set_order(0xc90fdaa22168c234c4c6628b80dc1cd0fbec42e940b37a88d9caeca198a64437 * 0x01)

PARI/GP

p = 0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139c0b
a = Mod(0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139c08, p)
b = Mod(0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c583ce2d3695a9e13641146434e1, p)
E = ellinit([a, b])
E[16][1] = 0xc90fdaa22168c234c4c6628b80dc1cd0fbec42e940b37a88d9caeca198a64437 * 0x01
\\ No generator defined

JSON

{
  "name": "ssc-256",
  "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": "0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139c0b",
    "bits": 256
  },
  "params": {
    "a": {
      "raw": "0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139c08"
    },
    "b": {
      "raw": "0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c583ce2d3695a9e13641146434e1"
    }
  },
  "order": "0xc90fdaa22168c234c4c6628b80dc1cd0fbec42e940b37a88d9caeca198a64437",
  "cofactor": "0x01",
  "characteristics": {
    "cm_disc": "-40020000671191509263673608690492641910104408280738782855468068664198113540123",
    "conductor": "3",
    "discriminant": "60822768933280325566696204913637387660445713943368464092467545811648981034770",
    "j_invariant": "31162795859851145144231857149212667595248858040255763075346681358086208915431",
    "embedding_degree": "45471447111470790535029367847216232831644207308085754715939955159962251108891",
    "trace_of_frobenius": "59929715926598057813127459560221398997"
  }
}