An exotic example of a tensor product of a CM elliptic curve and a weight 1 form
The representation obtained as a tensor product of a rational elliptic curve with a weight 1 modular form is in general an irreducible four-dimensional representation. However, there are some instances where such representation is reducible. In this short article we give an exotic way to obtain such a reducible representation.
P. Deligne and J.-P. Serre, Formes modulaires de poids $1$, Ann. Sci. École Norm. Sup. (4) 7 (1974), 507–530. MR Zbl Available at http://www.numdam.org/item?id=ASENS_1974_4_7_4_507_0.
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