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

Parameters

SAGE

p = 0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
K = GF(p)
d = K(0x1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa4331)
E = EllipticCurve(K, (0, K(2 * (1 + d)/(1 - d)^2), 0, K(1/(1 - d)^2), 0))
E.set_order(0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd15b6c64746fc85f736b8af5e7ec53f04fbd8c4569a8f1f4540ea2435f5180d6b * 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-521",
  "desc": "Curve from https://eprint.iacr.org/2013/647.pdf",
  "form": "Edwards",
  "field": {
    "type": "Prime",
    "p": "0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
    "bits": 521
  },
  "params": {
    "c": {
      "raw": "0x01"
    },
    "d": {
      "raw": "0x1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa4331"
    }
  },
  "generator": {
    "x": {
      "raw": "0x752cb45c48648b189df90cb2296b2878a3bfd9f42fc6c818ec8bf3c9c0c6203913f6ecc5ccc72434b1ae949d568fc99c6059d0fb13364838aa302a940a2f19ba6c"
    },
    "y": {
      "raw": "0x0c"
    }
  },
  "order": "0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd15b6c64746fc85f736b8af5e7ec53f04fbd8c4569a8f1f4540ea2435f5180d6b",
  "cofactor": "0x04"
}