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:
  9911577108577930219877559706235202541685567125270424289579421912722425860420384452305775099537857848908452072079912
• Trace of Frobenius:
  1830295516398814731693771933088720051240442793150265474531
• Discriminant:
  16220169272622841418298446227808062733531707893963537837482248183288047276144874243286543576087103535357004753232618
• Embedding degree:
  30946263300823101954888425259784296108860594177929936231959195086011429040851460901626189237585847628753659044398488
• CM-discriminant:
  -13381674613993644881458548904489259606699050675502629537079635738695590079972665519276150159843151618131690069980235
• Conductor:
  3

SAGE

p = 0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd3a437b
K = GF(p)
a = K(0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd3a4378)
b = K(0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c583ce2d3695a9e13641146433fbcc939dce249b3ef97d2fe363630c7791)
E = EllipticCurve(K, (a, b))
# No generator defined
E.set_order(0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc73b7669162524b60c73ee73e6dfe7059f510370fe7870d8599 * 0x01)

PARI/GP

p = 0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd3a437b
a = Mod(0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd3a4378, p)
b = Mod(0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c583ce2d3695a9e13641146433fbcc939dce249b3ef97d2fe363630c7791, p)
E = ellinit([a, b])
E[16][1] = 0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc73b7669162524b60c73ee73e6dfe7059f510370fe7870d8599 * 0x01
\\ No generator defined

JSON

{
  "name": "ssc-384",
  "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": "0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd3a437b",
    "bits": 384
  },
  "params": {
    "a": {
      "raw": "0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd3a4378"
    },
    "b": {
      "raw": "0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c583ce2d3695a9e13641146433fbcc939dce249b3ef97d2fe363630c7791"
    }
  },
  "order": "0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc73b7669162524b60c73ee73e6dfe7059f510370fe7870d8599",
  "cofactor": "0x01",
  "characteristics": {
    "cm_disc": "-13381674613993644881458548904489259606699050675502629537079635738695590079972665519276150159843151618131690069980235",
    "conductor": "3",
    "discriminant": "16220169272622841418298446227808062733531707893963537837482248183288047276144874243286543576087103535357004753232618",
    "j_invariant": "9911577108577930219877559706235202541685567125270424289579421912722425860420384452305775099537857848908452072079912",
    "embedding_degree": "30946263300823101954888425259784296108860594177929936231959195086011429040851460901626189237585847628753659044398488",
    "trace_of_frobenius": "1830295516398814731693771933088720051240442793150265474531"
  }
}