The L-series of Certain Rigid Calabi–Yau Threefolds Original Research Article

The L-series of two Calabi–Yau three-folds are found. In each case it is shown that the middle cohomology has dimension 2, and that (up to Euler factors at primes of bad reduction) the Mellin transform of the L-series of the middle cohomology is given by a modular form of weight four.