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:
  61087986052679304827680733419690850788395228732304495797639150931504461778552113774020
• Trace of Frobenius:
  -31717284756189777838455907167263484970467017
• Discriminant:
  311889871836249163284440647576151695502306972128360258543647051928176013261324501168884
• Embedding degree:
  390596756491121423614434954606695289304724116479393090921502092797686514928150248753236
• CM-discriminant:
  -556400873659257239436335452850017612643167293605403970991823708262633707837974028266587
• Conductor:
  1

SAGE

p = 0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a098b
K = GF(p)
a = K(0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a0988)
b = K(0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c583ce2d3695a9e13641146433fbcc939f36)
E = EllipticCurve(K, (a, b))
# No generator defined
E.set_order(0xc90fdaa22168c234c4c6628b80dc1cd12903ba214366757b7a5240b2a637e2065a850855 * 0x01)

PARI/GP

p = 0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a098b
a = Mod(0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a0988, p)
b = Mod(0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c583ce2d3695a9e13641146433fbcc939f36, p)
E = ellinit([a, b])
E[16][1] = 0xc90fdaa22168c234c4c6628b80dc1cd12903ba214366757b7a5240b2a637e2065a850855 * 0x01
\\ No generator defined

JSON

{
  "name": "ssc-288",
  "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": "0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a098b",
    "bits": 288
  },
  "params": {
    "a": {
      "raw": "0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a0988"
    },
    "b": {
      "raw": "0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c583ce2d3695a9e13641146433fbcc939f36"
    }
  },
  "order": "0xc90fdaa22168c234c4c6628b80dc1cd12903ba214366757b7a5240b2a637e2065a850855",
  "cofactor": "0x01",
  "characteristics": {
    "cm_disc": "-556400873659257239436335452850017612643167293605403970991823708262633707837974028266587",
    "conductor": "1",
    "discriminant": "311889871836249163284440647576151695502306972128360258543647051928176013261324501168884",
    "j_invariant": "61087986052679304827680733419690850788395228732304495797639150931504461778552113774020",
    "embedding_degree": "390596756491121423614434954606695289304724116479393090921502092797686514928150248753236",
    "trace_of_frobenius": "-31717284756189777838455907167263484970467017"
  }
}