Construction of surfaces with Kodaira dimension 1

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I am trying to find examples of surfaces with Kodaira dimension 1, but find it difficult to get. Can somebody help me come up with examples?

Thanks.

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Let $C$ elliptic curve and $C'$ a (smooth projective) curve of genus $g \geq 2$, then $C \times C'$ has Kodaira dimension 1.