JubJub curve from https://z.cash/technology/jubjub/.

Parameters

SAGE

p = 0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001
K = GF(p)
a = K(0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000000)
d = K(0x2a9318e74bfa2b48f5fd9207e6bd7fd4292d7f6d37579d2601065fd6d6343eb1)
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(0x11dafe5d23e1218086a365b99fbf3d3be72f6afd7d1f72623e6b071492d1122b), K(0x1d523cf1ddab1a1793132e78c866c0c33e26ba5cc220fed7cc3f870e59d292aa)))
E.set_order(0xe7db4ea6533afa906673b0101343b00a6682093ccc81082d0970e5ed6f72cb7 * 0x08)
# 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": "JubJub",
  "desc": "JubJub curve from <https://z.cash/technology/jubjub/>.",
  "form": "TwistedEdwards",
  "field": {
    "type": "Prime",
    "p": "0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001",
    "bits": 255
  },
  "params": {
    "a": {
      "raw": "0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000000"
    },
    "d": {
      "raw": "0x2a9318e74bfa2b48f5fd9207e6bd7fd4292d7f6d37579d2601065fd6d6343eb1"
    }
  },
  "generator": {
    "x": {
      "raw": "0x11dafe5d23e1218086a365b99fbf3d3be72f6afd7d1f72623e6b071492d1122b"
    },
    "y": {
      "raw": "0x1d523cf1ddab1a1793132e78c866c0c33e26ba5cc220fed7cc3f870e59d292aa"
    }
  },
  "order": "0xe7db4ea6533afa906673b0101343b00a6682093ccc81082d0970e5ed6f72cb7",
  "cofactor": "0x08"
}