Parameters

Characteristics

• OID:
  1.3.132.0.34
• Seed:
  A335926AA319A27A1D00896A6773A4827ACDAC73
• j-invariant:
  12550029517991417762405079599420518784762671286028430215113399824456742172589190955698027499893480133182923443701083
• Trace of Frobenius:
  1388124618062372383606759648309780106643088307173319169677
• Discriminant:
  38275261264050278989862136034342276004573039492779555073863190029182890449044186682105480613137214197175883602718257

SAGE

p = 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff
K = GF(p)
a = K(0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffc)
b = K(0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef)
E = EllipticCurve(K, (a, b))
G = E(0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7, 0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f)
E.set_order(0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973 * 0x1)

PARI/GP

p = 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff
a = Mod(0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffc, p)
b = Mod(0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef, p)
E = ellinit([a, b])
E[16][1] = 0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973 * 0x1
G = [Mod(0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7, p), Mod(0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f, p)]

JSON

{
  "name": "P-384",
  "desc": "",
  "oid": "1.3.132.0.34",
  "form": "Weierstrass",
  "field": {
    "type": "Prime",
    "p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff",
    "bits": 384
  },
  "params": {
    "a": {
      "raw": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffc"
    },
    "b": {
      "raw": "0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef"
    }
  },
  "generator": {
    "x": {
      "raw": "0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7"
    },
    "y": {
      "raw": "0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f"
    }
  },
  "order": "0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973",
  "cofactor": "0x1",
  "aliases": [
    "secg/secp384r1",
    "x963/ansip384r1"
  ],
  "characteristics": {
    "seed": "A335926AA319A27A1D00896A6773A4827ACDAC73",
    "j_invariant": "12550029517991417762405079599420518784762671286028430215113399824456742172589190955698027499893480133182923443701083",
    "discriminant": "38275261264050278989862136034342276004573039492779555073863190029182890449044186682105480613137214197175883602718257",
    "trace_of_frobenius": "1388124618062372383606759648309780106643088307173319169677"
  }
}