MathNet 2014 Question 30

A positive integer $n$ is called *super special* if it can be represented in the form $n = \frac{x^3 + 2y^3}{u^3 + 2v^3}$ for some positive integers $x, y, u, v$. Prove that:
(a) There are infinitely many super special positive integers;
(b) 2014 is not super special.