Cremona, J. E., Dembele, Lassina, Pacetti, Ariel, Schembri, Ciaran and Voight, John (2021) On rational Bianchi newforms and abelian surfaces with quaternionic multiplication. In: Arithmetic Geometry, Number Theory, and Computation. Simons Symposia . Springer.

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Abstract

We study the rational Bianchi newforms (weight 2, trivial character, with rational Hecke eigenvalues) in the LMFDB that are not associated to elliptic curves, but instead to abelian surfaces with quaternionic multiplication. Two of these examples exhibit a rather special kind of behaviour: we show they arise from twisted base change of a classical newform with nebentypus character of order 4 and eight inner twists.

Item Type:	Book Item
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Series Name:	Simons Symposia
Publisher:	Springer
Book Title:	Arithmetic Geometry, Number Theory, and Computation
Official Date:	2021
Dates:	Date Event 2021 Published
Date of first compliant deposit:	5 October 2020
Status:	Peer Reviewed
Publication Status:	Forthcoming
Related URLs:	Publisher

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