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Let E : y^2 = x^3 + 49x + 48 be an elliptic curve over F73. Without any computation, what can you say about the order of E (Hint: Consider the number of options for the x coordinates). Consider P = (0; 62) in the elliptic curve group E. It is given that the order of P is 89. What can you say about the order of the elliptic curve group E?

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