Given an x-coordiante of a point on the SECP256K1 curve, is it possible to calculate the corresponding y-coorindate? (Assuming the point is a verifying public key that complies with the Bitcoin standards.)
I am new to the cryptographic realm so please forgive me if the question is naive. From what I know, the public key is a point, or a pair of integers. The SECP256K1 curve is a curve where any point
(x, y) on it satisfies
(y ** 2) mod p == (x ** 3 + 7) mod p
p = 2**256 - 2**32 - 977.
Now let's confine the discussion within the Bitcoin scope. Assume we have a private key that complies with the Bitcoin standards, and from it we can derive the public key, which can be represented as a point
(x, y) on the SECP256K1 curve.
Now given only such a
x, is it possible to calculate the
As a real example, given only
is it possible get the