A criterion for elliptic curves with second lowest 2-power in \(L(1)\). II

DOI10.1007/s10114-005-0576-7zbMath1122.11041OpenAlexW2144505726MaRDI QIDQ2581231

Chunlai Zhao

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0576-7

zbMATH Keywords

elliptic curve\(L\)-functioncongruent number

Mathematics Subject Classification ID

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

Related Items (6)

Some exact formulae for the numbers of representations of integers by ternary quadratic forms ⋮ New series of odd non-congruent numbers ⋮ Representation of integers by ternary quadratic forms. ⋮ On the weak forms of the 2-part of Birch and Swinnerton-Dyer conjecture ⋮ 2-Selmer groups and the Birch-Swinnerton-Dyer conjecture for the congruent number curves ⋮ On the 2-adic valuations of central \(L\)-values of elliptic curves

Cites Work

• A classical Diophantine problem and modular forms of weight \(3/2\)
• The size of Selmer groups for the congruent number problem
• On the conjecture of Birch and Swinnerton-Dyer
• A criterion for elliptic curves with lowest 2-power in L(1)
• The Non-Vanishing of L(1) for Certain Elliptic Curves with no First Descents
• A Relation Between the Two-Component of the Tate-Safarevic Group and L(1) for Certain Elliptic Curves
• A criterion for elliptic curves with lowest 2-power in L(1)
• A criterion for elliptic curves with lowest 2-power in L(1) (II) This work was supported by NSFC and RFDP.

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