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ssc-288

288-bit prime field Weierstrass curve.

A prime order curve from MIRACL: https://github.com/miracl/MIRACL/blob/master/docs/miracl-explained/miracl-standard-curves.md. Has no generator specified.


y2x3+ax+by^2 \equiv x^3 + ax + b

Parameters

NameValue
p0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a098b
a0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a0988
b0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c583ce2d3695a9e13641146433fbcc939f36
n0xc90fdaa22168c234c4c6628b80dc1cd12903ba214366757b7a5240b2a637e2065a850855
h0x01


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.",
"form": "Weierstrass",
"field": {
"type": "Prime",
"p": "0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a098b",
"bits": 288
},
"params": {
"a": {
"raw": "0xc90fdaa22168c234c4c6628b80dc1cd129024e088a67cc74020bbea63b139b22514a0988"
},
"b": {
"raw": "0xadf85458a2bb4a9aafdc5620273d3cf1d8b9c583ce2d3695a9e13641146433fbcc939f36"
}
},
"order": "0xc90fdaa22168c234c4c6628b80dc1cd12903ba214366757b7a5240b2a637e2065a850855",
"cofactor": "0x01"
}

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