On rational Bianchi newforms and abelian surfaces with quaternionic multiplication
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Publication:6603867
DOI10.1007/978-3-030-80914-0_11MaRDI QIDQ6603867
Ciaran Schembri, Lassina Dembélé, John E. Cremona, Ariel Pacetti, John Voight
Publication date: 12 September 2024
Elliptic curves over global fields (11G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)
Cites Work
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- Local diophantine properties of Shimura curves
- Twists of modular forms and endomorphisms of abelian varieties
- \(l\)-adic representations associated to modular forms over imaginary quadratic fields. II
- Integral models of certain Shimura curves
- The Magma algebra system. I: The user language
- Modularity of the Rankin-Selberg \(L\)-series, and multiplicity one for \(\mathrm{SL}(2)\)
- On the paramodularity of typical abelian surfaces
- On Fermat's equation over some quadratic imaginary number fields
- Examples of genuine QM abelian surfaces which are modular
- On the functional equation of certain Dirichlet series
- Construction of class fields and zeta functions of algebraic curves
- A database of number fields
- Examples of CM curves of genus two defined over the reflex field
- Fields of definition of building blocks
- Theta lifts of Bianchi modular forms and applications to paramodularity
- Proving modularity for a given elliptic curve over an imaginary quadratic field
- Abelian Varieties with Extra Twist, Cusp Forms, and Elliptic Curves Over Imaginary Quadratic Fields
- On twists of cuspidal representations of GL(2)
- On the reduction theory of binary forms
- Abelian varieties over Q and modular forms
- On the imaginary quadratic Doi-Naganuma lifting of modular forms of arbitrary level
- Les Schémas de Modules de Courbes Elliptiques
- Galois descent and twists of an abelian variety
- Corrigendum to “Paramodular abelian varieties of odd conductor"
- Equations of hyperelliptic Shimura curves
- Paramodular abelian varieties of odd conductor
- Travaux de Shimura
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