What is the general equation for elliptic curve systems?

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answerhappygod
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What is the general equation for elliptic curve systems?

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a) y3+b_1 xy+b_2 y=x33+a_1 x2+a_2 x+a_3
b) y3+b_1 x+b_2 y=x2+a_1 x2+a_2 x+a_3
c) y2+b_1 xy+b_2 y=x3+a_1 x2+a_2
d) y2+b_1 xy+b_2 y=x3+a_1 x2+a_2 x+a_3
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