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Let E$\mathbb{E}$ be the elliptic curve y^2 = x^3 + 6x modulo 11$y^2 = x^3 + 6x \text{ mod } 11$ and consider the point P = point (2, 3)$P = (2, 3)$ on it.

  How do I compute 3P$3P$?

I have been able to figure out what 2P$2P$ is, 2P = (5,10) mod 11

$2P = (5,10)$. However I am unsure if even knowing 2P$2P$ is helpful, or do I just compute 3P$3P$ from knowing the original P$P$?

Let E be the elliptic curve y^2 = x^3 + 6x modulo 11 and consider the point P = (2, 3) on it.

  How do I compute 3P

I have been able to figure out what 2P is, 2P = (5,10) mod 11

However I am unsure if even knowing 2P is helpful, or do I just compute 3P from knowing the original P?

Let $\mathbb{E}$ be the elliptic curve $y^2 = x^3 + 6x \text{ mod } 11$ and consider the point $P = (2, 3)$ on it. How do I compute $3P$?

I have been able to figure out what $2P$ is, $2P = (5,10)$. However I am unsure if even knowing $2P$ is helpful, or do I just compute $3P$ from knowing the original $P$?

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Jim
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Scalar Multiplication for Elliptic Curve

Let E be the elliptic curve y^2 = x^3 + 6x modulo 11 and consider the point P = (2, 3) on it.

How do I compute 3P

I have been able to figure out what 2P is, 2P = (5,10) mod 11

However I am unsure if even knowing 2P is helpful, or do I just compute 3P from knowing the original P?