Abstract
We exhibit three double octic Calabi–Yau threefolds, a non-rigid threefold defined over Q and two rigid threefolds over the quadratic fields Q[5],Q[−3], and prove their modularity. The non-rigid threefold has two conjugate Hilbert modular forms for the field Q[2] of weight [4,2] and [2,4] attached while the two rigid threefolds correspond to a Hilbert modular form of weight [4,4] and to the twist of the restriction of a classical modular form of weight 4.
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