The number of elements in the set \( \left\{(a, b): 2 a^{2}+3 b^{2}=\right. \) \( 35, a, b \in Z...

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The number of elements in the set \( \left\{(a, b): 2 a^{2}+3 b^{2}=\right. \) \( 35, a, b \in Z\} \), where \( Z \) is the set of all integers, is
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