An explicit construction for unramified quadratic extensions of biquadratic fields
Volume 178 / 2017
Acta Arithmetica 178 (2017), 153-161
MSC: Primary 11G05; Secondary 11R29, 11R11.
DOI: 10.4064/aa8493-10-2016
Published online: 29 March 2017
Abstract
We give a construction for everywhere unramified quadratic extensions of an infinite family of biquadratic fields by using a non-torsion point on an elliptic curve of the form $y^{2}=x^{3}+m$.
