Construction of Number Fields of Odd Degree with Class Numbers Divisible by Three, Five or by Seven
Construction of Number Fields of Odd Degree with Class Numbers Divisible by Three, Five or by Seven
We introduce a simple way to construct a family of number fields of given degree with class numbers divisible by a given integer, by using the arithmetic theory of elliptic curves. In particular, we start with an elliptic curve defined over the rational number field with a rational torsion point …