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I'm a bit confused with how fractions are handled with adding points of elliptic curves over finite fields. Below is an example from the text which I am trying to understand:

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The part that particularly confuses me is

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If I think about this the same way that $1/5$ was handled, we have that $246/1 = 246\cdot1^{-1}=246\cdot1=246$, but $246\equiv12 \mod 13$ so shouldn't $246/1 = 12$? I don't understand how the calculation is being done. Could someone explain?

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Hmm, the text seems to be in error. –  anon Jul 22 '13 at 6:34
    
@anon math.stackexchange.com/questions/430836/… referring to this post my calculation seems to make sense, so you are probably right –  Alex Jul 22 '13 at 6:43

1 Answer 1

up vote 0 down vote accepted

You are right. The text is just missing a minus sign. The answer is $$\lambda \equiv 12 \equiv -1 \mod 13.$$

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