Solve the equation
Posted: Tue Nov 24, 2015 5:34 pm
(i) Let $K = \mathbb{Q} (a)$ , where $a$ is a root of $X^2 - X + 12$ in $\mathbb{R}$ . Compute the class group of K.
(ii) Show that the equation $y^2 +y + 12 =3 x^5$ does not have any integer solutions.
(ii) Show that the equation $y^2 +y + 12 =3 x^5$ does not have any integer solutions.