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

SAGE

p = 0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd3a431b302b0a6df25f14374fe1356d6d51c5ef
K = GF(p)
a = K(0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd3a431b302b0a6df25f14374fe1356d6d51c5ec)
b = K(0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c583ce2d3695a9e13641146433fbcc939dce249b3ef97d2fe363630c75d8f681b202aec4617ad3df1ed5d5fd6a8d)
E = EllipticCurve(K, (a, b))
# No generator defined
E.set_order(0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b235a2359c4afbc9eb7987f1c9ab37e42599188c4b7dc6269b830d80897f57a5f71 * 0x01)

PARI/GP

p = 0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd3a431b302b0a6df25f14374fe1356d6d51c5ef
a = Mod(0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd3a431b302b0a6df25f14374fe1356d6d51c5ec, p)
b = Mod(0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c583ce2d3695a9e13641146433fbcc939dce249b3ef97d2fe363630c75d8f681b202aec4617ad3df1ed5d5fd6a8d, p)
E = ellinit([a, b])
E[16][1] = 0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b235a2359c4afbc9eb7987f1c9ab37e42599188c4b7dc6269b830d80897f57a5f71 * 0x01
\\ No generator defined

JSON

{
  "name": "ssc-512",
  "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.",
  "form": "Weierstrass",
  "field": {
    "type": "Prime",
    "p": "0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd3a431b302b0a6df25f14374fe1356d6d51c5ef",
    "bits": 512
  },
  "params": {
    "a": {
      "raw": "0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd3a431b302b0a6df25f14374fe1356d6d51c5ec"
    },
    "b": {
      "raw": "0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c583ce2d3695a9e13641146433fbcc939dce249b3ef97d2fe363630c75d8f681b202aec4617ad3df1ed5d5fd6a8d"
    }
  },
  "order": "0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b235a2359c4afbc9eb7987f1c9ab37e42599188c4b7dc6269b830d80897f57a5f71",
  "cofactor": "0x01"
}