Curve from https://datatracker.ietf.org/doc/html/draft-ietf-lwig-curve-representations-23

Parameters

SAGE

p = 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffffff
K = GF(p)
a = K(0x01)
d = K(0xd78b4bdc7f0daf19f24f38c29373a2ccad46157242a50f37809b1da3412a12e79ccc9c81264cfe9ad080997058fb61c4243cc32dbaa156b9)
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)
G = E(*to_weierstrass(a, d, K(0x79a70b2b70400553ae7c9df416c792c61128751ac92969240c25a07d728bdc93e21f7787ed6972249de732f38496cd11698713093e9c04fc), K(0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffff80000000000000000000000000000000000000000000000000000001)))
E.set_order(0x3fffffffffffffffffffffffffffffffffffffffffffffffffffffff7cca23e9c44edb49aed63690216cc2728dc58f552378c292ab5844f3 * 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": "Ed448",
  "desc": "Curve from https://datatracker.ietf.org/doc/html/draft-ietf-lwig-curve-representations-23",
  "form": "TwistedEdwards",
  "field": {
    "type": "Prime",
    "p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
    "bits": 448
  },
  "params": {
    "a": {
      "raw": "0x01"
    },
    "d": {
      "raw": "0xd78b4bdc7f0daf19f24f38c29373a2ccad46157242a50f37809b1da3412a12e79ccc9c81264cfe9ad080997058fb61c4243cc32dbaa156b9"
    }
  },
  "generator": {
    "x": {
      "raw": "0x79a70b2b70400553ae7c9df416c792c61128751ac92969240c25a07d728bdc93e21f7787ed6972249de732f38496cd11698713093e9c04fc"
    },
    "y": {
      "raw": "0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffff80000000000000000000000000000000000000000000000000000001"
    }
  },
  "order": "0x3fffffffffffffffffffffffffffffffffffffffffffffffffffffff7cca23e9c44edb49aed63690216cc2728dc58f552378c292ab5844f3",
  "cofactor": "0x04"
}