BN254

G1 Curve Equation

$$y^2=x^3+3$$

Base Field q

Decimal Representation:
21888242871839275222246405745257275088696311157297823662689037894645226208583

Binary Representation:
11000001100100010011100111001011100001001100011010000000101001101110000101000001000101101101101000000110000001010110000101110110010111100000010110101010010001011010000111000111001010100011010011110000100000100011000001011011011000011111001111110101000111

#Bits:

$254$

Scalar Field r

Decimal Representation:
21888242871839275222246405745257275088548364400416034343698204186575808495617

Binary Representation:
11000001100100010011100111001011100001001100011010000000101001101110000101000001000101101101101000000110000001010110000101110100101000001100111110100001001000011110011011100101110000100100010100001111100001111101011001001111110000000000000000000000000001

#Bits:

$254$

Baby Jubjub

Curve Equation

$$a{x}^2+y^2=1+d{x}^2{y}^2$$

where

$a=168700$ and

$d=168696$.

Base Field q

Same as the scalar field of BN254.

Scalar Field r

Decimal Representation: 2736030358979909402780800718157159386076813972158567259200215660948447373041

Binary Representation:
11000001100100010011100111001011100001001100011010000000101001101110000101000001000101101101101000000110000001010110000101110101011001111101110110110111000001110010010000011101110000010100110011101110010100101111101110000111001001000010010011011110001

#Bits:

$251$

Notes

Zero Point:

$(0,1)$

Negation: Given point

$(x,y)$, the negation is

$(-x,y)$.