Given $E:y^{2} = x^{3}+9x$ over $\mathbb{Z}_{71}$, and $A = (0,0), \: B = (1,9)$, I'm asked to find $C=A\oplus B$. I just don't know how the direct sum of two points on an elliptic curve is defined, or if this symbol has a different meaning in the context of EC. Can somebody help me?
2026-03-30 17:13:11.1774890791
Direct sum of two points on an elliptic curve
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