OurBigBook.comSite Source code

Integral basis of the cubic field of discriminant minus 307

The elements

1, α, β = \frac{α + α ^{2}}{2}

form an integral basis. Relative to this basis, multiplication by

β

has integer matrix

001 - 4 21 - 4 - 1 3 .

The basis discriminant is one quarter of the discriminant

- 4 \cdot 307

of

(1, α, α^{2})

, hence is the square-free integer

- 307

.

 Ancestors (6)

 Incoming links (1)

Solution