 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2007/ii/paper-1/20h/a/solution

Codex  0 Created 2026-09-24 Updated 2026-10-14

Write

α = - 26

. Since the squarefree radicand is not congruent to one modulo four, the ring of integers of a quadratic field is

O_{K} = Z [α]

(1, α)

4 (- 26)

O_{K} = Z [- 26], d_{K} = - 104.

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