An exotic example of a tensor product of a CM elliptic curve and a weight 1 form

Authors

  • Ariel Pacetti Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal

DOI:

https://doi.org/10.33044/revuma.2284

Abstract

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.

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References

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Published

2023-10-16

Issue

Vol. 65 No. 2 (2023)

Section

Article

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Copyright (c) 2023 Ariel Pacetti

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