Curve described in https://www.iso.org/standard/80241.html

Parameters

Characteristics

• j-invariant:
  0
• Trace of Frobenius:
  115792089237316195423570985008687840101103879741288409693302319863988063823175
• Discriminant:
  13407807929942597099574024998205830437246153344875111580494527427714590099881795845981157516604994291639750834285779043186149750164319950153126044364562435

SAGE

p = 0xfffffffffffffffffffffffffff9ec7f01c60ba1d8cb5307c0bbe3c111b0ef455146cf1eacbe98b8e48c65deab236fe1916a55ce5f4c6467b4eb280922adef33
K = GF(p)
a = K(0x00)
b = K(0x03)
E = EllipticCurve(K, (a, b))
G = E(0x01, 0x02)
E.set_order(0xfffffffffffffffffffffffffff9ec7f01c60ba1d8cb5307c0bbe3c111b0ef445146cf1eacbe98b8e48c65deab2679a34a10313e04f9a2b406a64a5f519a09ed * 0x01)

PARI/GP

p = 0xfffffffffffffffffffffffffff9ec7f01c60ba1d8cb5307c0bbe3c111b0ef455146cf1eacbe98b8e48c65deab236fe1916a55ce5f4c6467b4eb280922adef33
a = Mod(0x00, p)
b = Mod(0x03, p)
E = ellinit([a, b])
E[16][1] = 0xfffffffffffffffffffffffffff9ec7f01c60ba1d8cb5307c0bbe3c111b0ef445146cf1eacbe98b8e48c65deab2679a34a10313e04f9a2b406a64a5f519a09ed * 0x01
G = [Mod(0x01, p), Mod(0x02, p)]

JSON

{
  "name": "Fp512BN",
  "desc": "Curve described in https://www.iso.org/standard/80241.html",
  "form": "Weierstrass",
  "field": {
    "type": "Prime",
    "p": "0xfffffffffffffffffffffffffff9ec7f01c60ba1d8cb5307c0bbe3c111b0ef455146cf1eacbe98b8e48c65deab236fe1916a55ce5f4c6467b4eb280922adef33",
    "bits": 512
  },
  "params": {
    "a": {
      "raw": "0x00"
    },
    "b": {
      "raw": "0x03"
    }
  },
  "generator": {
    "x": {
      "raw": "0x01"
    },
    "y": {
      "raw": "0x02"
    }
  },
  "order": "0xfffffffffffffffffffffffffff9ec7f01c60ba1d8cb5307c0bbe3c111b0ef445146cf1eacbe98b8e48c65deab2679a34a10313e04f9a2b406a64a5f519a09ed",
  "cofactor": "0x01",
  "characteristics": {
    "j_invariant": "0",
    "discriminant": "13407807929942597099574024998205830437246153344875111580494527427714590099881795845981157516604994291639750834285779043186149750164319950153126044364562435",
    "trace_of_frobenius": "115792089237316195423570985008687840101103879741288409693302319863988063823175"
  }
}