Abstract
The elliptic curve with Weierstrass equation $Y^2 + \sqrt{6}XY - Y = X^3 - (2 + \sqrt{6})X^2$ has good reduction modulo every prime of the ring of integers of $\mathbf{Q}(\sqrt{6})$. We show that every abelian variety over $\mathbf{Q}(\sqrt{6})$ that has good reduction everywhere is isogenous to a power of this elliptic curve.
Information
Published: 1 January 2001
First available in Project Euclid: 13 September 2018
zbMATH: 1048.11047
MathSciNet: MR1846462
Digital Object Identifier: 10.2969/aspm/03010287
Rights: Copyright © 2001 Mathematical Society of Japan