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 Post subject: Solve the equation
PostPosted: Tue Nov 24, 2015 5:34 pm 

Joined: Thu Nov 19, 2015 7:27 pm
Posts: 6
(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.


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