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Elliptic curves are algebraic-geometric structures with applications in cryptography. Such a curve consists of the set of solutions to a cubic equation over a finite field equipped with a group operation. Questions relating to elliptic curves and derived algorithms should use this tag and might also consider more specific tags such as discrete-logarithm and ecdsa.

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Two Elliptic Curve Points having the Same X coordinate

Suppose in a elliptic curve (say the curve equation is: $y^2 = x^3 -17$) with prime order $q$, we have $(x,y_1) = nP$, where $P$ is a generator and $n<\lceil{q/2}\rceil$. Can we claim that there does …
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