STARK Curve

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STARK Curve
The Stark-friendly elliptic curve used is defined as follows:
​y2≡x3+α⋅x+β(modp)y^2 \equiv x^3 + \alpha \cdot x + \beta \pmod{p}y2≡x3+α⋅x+β(modp)
​
where:
α=1β=3141592653589793238462643383279502884197169399375105820974944592307816406665p=3618502788666131213697322783095070105623107215331596699973092056135872020481=2251+17⋅2192+1\begin{align*} \alpha &= 1  \\ \beta &= 3141592653589793238462643383279502884197169399375105820974944592307816406665 \\
p &= 3618502788666131213697322783095070105623107215331596699973092056135872020481\\ &=  2^{251} + 17 \cdot 2^{192} + 1
\end{align*}αβp​=1=3141592653589793238462643383279502884197169399375105820974944592307816406665=3618502788666131213697322783095070105623107215331596699973092056135872020481=2251+17⋅2192+1​
The Generator point used in the ECDSA scheme is:
G=(874739451078007766457464989774322083649278607533249481151382481072868806602,152666792071518830868575557812948353041420400780739481342941381225525861407)\begin{split}G = (874739451078007766457464989774322083649278607533249481151382481072868806602, \\ 152666792071518830868575557812948353041420400780739481342941381225525861407)\end{split}G=(874739451078007766457464989774322083649278607533249481151382481072868806602,152666792071518830868575557812948353041420400780739481342941381225525861407)​
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Pedersen Hash Function
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