Complete verification of strong BSD for many modular abelian surfaces over ${\mathbf {Q}}$

We develop the theory and algorithms necessary to be able to verify the strong Birch–Swinnerton-Dyer Conjecture for absolutely simple modular abelian varieties over ${\mathbf {Q}}$ . We apply our methods to all 28 Atkin–Lehner quotients of $X_0(N)$ of genus $2$ , all 97 genus...

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Bibliographic Details
Main Authors: Timo Keller, Michael Stoll
Format: Article
Language:English
Published: Cambridge University Press 2025-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509424001336/type/journal_article
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