Visibility and the Birch and Swinnerton-Dyer conjecture for analytic rank zero

zbMath1491.11066arXiv0908.3823MaRDI QIDQ5155452

Amod Agashe

Publication date: 6 October 2021

Full work available at URL: https://arxiv.org/abs/0908.3823

zbMATH Keywords

\(L\)-functionBirch and Swinnerton-Dyer conjecture

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (1)

The Eisenstein and winding elements of modular symbols for odd square-free level

Cites Work

• Heegner points and derivatives of \(L\)-series
• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• Modular curves and the Eisenstein ideal
• Optimal quotients of modular Jacobians
• On modular representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) arising from modular forms
• Visibility of Shafarevich-Tate groups of abelian varieties.
• The modular degree, congruence primes, and multiplicity one
• Visibility and the Birch and Swinnerton-Dyer Conjecture for Analytic Rank One
• Global divisibility of Heegner points and Tamagawa numbers
• A visible factor of the special L-value
• Visualizing Elements in the Shafarevich—Tate Group
• Visible evidence for the Birch and Swinnerton-Dyer conjecture for modular abelian varieties of analytic rank zero
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