Curve from https://eprint.iacr.org/2013/647.pdf

Parameters

SAGE

p = 0x3fffffffffffffffffffffffffffffffffffffffffffffffffffff8b
K = GF(p)
d = K(0x27166)
E = EllipticCurve(K, (0, K(2 * (1 + d)/(1 - d)^2), 0, K(1/(1 - d)^2), 0))
E.set_order(0xffffffffffffffffffffffffffff70cbc95e932f802f31423598cbf * 0x04)
# This curve is a Weierstrass curve (SAGE does not support Edwards curves) birationally equivalent to the intended curve.
# You can use the to_weierstrass and to_edwards functions to convert the points.

JSON

{
  "name": "E-222",
  "desc": "Curve from https://eprint.iacr.org/2013/647.pdf",
  "form": "Edwards",
  "field": {
    "type": "Prime",
    "p": "0x3fffffffffffffffffffffffffffffffffffffffffffffffffffff8b",
    "bits": 222
  },
  "params": {
    "c": {
      "raw": "0x01"
    },
    "d": {
      "raw": "0x27166"
    }
  },
  "generator": {
    "x": {
      "raw": "0x19b12bb156a389e55c9768c303316d07c23adab3736eb2bc3eb54e51"
    },
    "y": {
      "raw": "0x1c"
    }
  },
  "order": "0xffffffffffffffffffffffffffff70cbc95e932f802f31423598cbf",
  "cofactor": "0x04"
}