Special values of \(L\)-functions of elliptic curves over \(\mathbb Q\) and their base change to real quadratic fields
From MaRDI portal
Publication:1048938
DOI10.1016/j.jnt.2009.08.011zbMath1255.11035OpenAlexW1964301097MaRDI QIDQ1048938
Publication date: 8 January 2010
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2009.08.011
Elliptic curves over global fields (11G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)
Related Items (2)
Corrigendum and addendum to: ``Special values of \(L\)-functions of elliptic curves over \(\mathbb{Q}\) and their base change to real quadratic fields ⋮ On a theorem of Bertolini-Darmon on the rationality of Stark-Heegner points over genus fields of real quadratic fields
Cites Work
- Unnamed Item
- Unnamed Item
- Heegner points and \(p\)-adic \(L\)-functions for elliptic curves over certain totally real fields
- Gross-Zagier formula for \(\text{GL}_ 2\).
- Hida families and rational points on elliptic curves
- On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer
- Heegner points and derivatives of \(L\)-series
- Modular elliptic curves and Fermat's Last Theorem
- Ring-theoretic properties of certain Hecke algebras
- Nonvanishing theorems for automorphic \(L\)-functions on \(\text{GL} (2)\)
- The rationality of Stark-Heegner points over genus fields of real quadratic fields
- On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
- Algorithm for determining the type of a singular fiber in an elliptic pencil
- Heights and L-Series
- FINITENESS OF $ \textit{Ø}$ OVER TOTALLY REAL FIELDS
- ON THE MORDELL-WEIL AND SHAFAREVICH-TATE GROUPS FOR WEIL ELLIPTIC CURVES
- Heights of Heegner points on Shimura curves.
This page was built for publication: Special values of \(L\)-functions of elliptic curves over \(\mathbb Q\) and their base change to real quadratic fields
