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numsp512d1

512-bit prime field Weierstrass curve.
$y^2 \equiv x^3 + ax + b$

Parameters

NameValue
p0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc7
a0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc4
b0x1d99b
G(0x02, 0x1c282eb23327f9711952c250ea61ad53fcc13031cf6dd336e0b9328433afbdd8cc5a1c1f0c716fdc724dde537c2b0adb00bb3d08dc83755b205cc30d7f83cf28)
n0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff5b3ca4fb94e7831b4fc258ed97d0bdc63b568b36607cd243ce153f390433555d
h0x01

SAGE

p = 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc7K = GF(p)a = K(0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc4)b = K(0x1d99b)E = EllipticCurve(K, (a, b))G = E(0x02, 0x1c282eb23327f9711952c250ea61ad53fcc13031cf6dd336e0b9328433afbdd8cc5a1c1f0c716fdc724dde537c2b0adb00bb3d08dc83755b205cc30d7f83cf28)E.set_order(0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff5b3ca4fb94e7831b4fc258ed97d0bdc63b568b36607cd243ce153f390433555d * 0x01)

PARI/GP

p = 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc7a = Mod(0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc4, p)b = Mod(0x1d99b, p)E = ellinit([a, b])E[16][1] = 0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff5b3ca4fb94e7831b4fc258ed97d0bdc63b568b36607cd243ce153f390433555d * 0x01G = [Mod(0x02, p), Mod(0x1c282eb23327f9711952c250ea61ad53fcc13031cf6dd336e0b9328433afbdd8cc5a1c1f0c716fdc724dde537c2b0adb00bb3d08dc83755b205cc30d7f83cf28, p)]

JSON

{  "name": "numsp512d1",  "desc": "",  "form": "Weierstrass",  "field": {    "type": "Prime",    "p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc7",    "bits": 512  },  "params": {    "a": {      "raw": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc4"    },    "b": {      "raw": "0x1d99b"    }  },  "generator": {    "x": {      "raw": "0x02"    },    "y": {      "raw": "0x1c282eb23327f9711952c250ea61ad53fcc13031cf6dd336e0b9328433afbdd8cc5a1c1f0c716fdc724dde537c2b0adb00bb3d08dc83755b205cc30d7f83cf28"    }  },  "order": "0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff5b3ca4fb94e7831b4fc258ed97d0bdc63b568b36607cd243ce153f390433555d",  "cofactor": "0x01"}

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