Article ID Journal Published Year Pages File Type
4594145 Journal of Number Theory 2014 27 Pages PDF
Abstract
In this paper we study how the root number attached to an elliptic curve E over a finite field extension K of Q3 changes when E is considered as an elliptic curve over a finite Galois extension F of K via extension of scalars. The main result is a formula relating the root number W(E/F) attached to E×KF to the root number W(E/K) attached to E.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
,