### New examples of modular rigid Calabi-Yau threefolds.

The aim of this article is to present five new examples of modular rigid Calabi-Yau threefolds by giving explicit correspondences to newforms of weight 4 and levels 10, 17, 21 and 73.

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The aim of this article is to present five new examples of modular rigid Calabi-Yau threefolds by giving explicit correspondences to newforms of weight 4 and levels 10, 17, 21 and 73.

We explicitly determine the elliptic $K3$ surfaces with section and maximal singular fibre. If the characteristic of the ground field is different from $2$, for each of the two possible maximal fibre types, ${I}_{19}$ and ${I}_{14}^{*}$, the surface is unique. In characteristic $2$ the maximal fibre types are ${I}_{18}$ and ${I}_{13}^{*}$, and there exist two (resp. one) one-parameter families of such surfaces.

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