The Galois representation of type \(E_8\) arising from certain Mordell-Weil groups

DOI10.3792/pjaa.65.195zbMath0708.14015OpenAlexW2087939898MaRDI QIDQ920161

Tetsuji Shioda

Publication date: 1989

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.65.195

zbMATH Keywords

L-functioncomputer calculationsHasse zeta functionheight pairingGalois lattice structure of the Mordell-Weil group

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves (14H52) Computational aspects of algebraic curves (14Q05)

Related Items (4)

Some simple elliptic surfaces of genus zero ⋮ Ramified Primes in the Field of Definition for the Mordell-Weil Group of an Elliptic Surface ⋮ Mordell-Weil lattices and Galois representation. I ⋮ Mordell-Weil lattices and Galois representation. III

Cites Work

• On elliptic modular surfaces
• Algorithm for determining the type of a singular fiber in an elliptic pencil
• An Explicit Algorithm for Computing the Picard Number of Certain Algebraic Surfaces
• Jacobi Sums as "Grossencharaktere"
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