What is the answer of y²=x³+ax+b
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Given y, is it possible to solve for x in the elliptic curve equation y2=x3+ax+b over a finite field?
Or is it known to be as difficult as say, something like the discrete logarithm problem via a reduction argument?
Specifically I would like to know this for the secp256k1 curve over field = Zp, with:
modulus p=2256−232−977; a=0; b=7;
order of base point = 2256−432420386565659656852420866394968145599.
(The curve equation is simply y2=x3+7.)
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