Consider the elliptic curve E: y2 = x3+3x+2 mod 7 Find and list all elements of the group. Verify if Hasse’s theorem holds for this group What are the primitive elements in this group?

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  1. Consider the elliptic curve E: y2 = x3+3x+2 mod 7
    1. Find and list all elements of the group.
    2. Verify if Hasse’s theorem holds for this group
    3. What are the primitive elements in this group?
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