The local root number of elliptic curves with wild ramification

DOI10.1007/s002080200318zbMath1117.11034OpenAlexW1974418574MaRDI QIDQ697412

Shin-ichi Kobayashi

Publication date: 17 September 2002

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080200318

zbMATH Keywords

local fieldsroot numbersElliptic curves

Mathematics Subject Classification ID

Galois theory (11R32) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Elliptic curves over local fields (11G07)

Related Items (15)

Elliptic curves with all cubic twists of the same root number ⋮ The \(p\)-parity conjecture for elliptic curves with a \(p\)-isogeny ⋮ On the root numbers of abelian varieties with real multiplication ⋮ Rational points on certain families of symmetric equations ⋮ Root numbers of 5-adic curves of genus two having maximal ramification ⋮ Root numbers and parity phenomena ⋮ Change of root numbers of elliptic curves under extension of scalars ⋮ Comparing local constants of ordinary elliptic curves in dihedral extensions ⋮ Parity of ranks for elliptic curves with a cyclic isogeny ⋮ On the Birch-Swinnerton-Dyer quotients modulo squares ⋮ Root numbers and parity of ranks of elliptic curves ⋮ Paramodular forms coming from elliptic curves ⋮ Elliptic curves with all quartic twists of the same root number ⋮ On elliptic curves with complex multiplication and root numbers ⋮ Root number of the Jacobian of \(y^2 = x^p+a\)

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