Curve from https://eprint.iacr.org/2014/130.pdf. No generator present.

Parameters

SAGE

p = 0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe1f
K = GF(p)
a = K(0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe1e)
d = K(0x10bf7d)
E = EllipticCurve(K, (K(-1/48) * (a^2 + 14*a*d + d^2),K(1/864) * (a + d) * (-a^2 + 34*a*d - d^2)))
def to_weierstrass(a, d, x, y):
	return ((5*a + a*y - 5*d*y - d)/(12 - 12*y), (a + a*y - d*y -d)/(4*x - 4*x*y))
def to_twistededwards(a, d, u, v):
	y = (5*a - 12*u - d)/(-12*u - a + 5*d)
	x = (a + a*y - d*y -d)/(4*v - 4*v*y)
	return (x, y)
# No generator defined
E.set_order(0x1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffea7c34182e41e2e9baa930e478c489b72542706bec5f32194f7c2e8f8d142f11 * 0x04)
# This curve is a Weierstrass curve (SAGE does not support TwistedEdwards curves) birationally equivalent to the intended curve.
# You can use the to_weierstrass and to_twistededwards functions to convert the points.

JSON

{
  "name": "ed-511-mers",
  "desc": "Curve from https://eprint.iacr.org/2014/130.pdf. No generator present.",
  "form": "TwistedEdwards",
  "field": {
    "type": "Prime",
    "p": "0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe1f",
    "bits": 511
  },
  "params": {
    "a": {
      "raw": "0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe1e"
    },
    "d": {
      "raw": "0x10bf7d"
    }
  },
  "order": "0x1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffea7c34182e41e2e9baa930e478c489b72542706bec5f32194f7c2e8f8d142f11",
  "cofactor": "0x04"
}