Linear combinations of squaresNumber Theory Level 4
How many pairs of integers (not necessarily positive) are there such that both \(a^2+6b^2\) and \(b^2 + 6a^2\) are both squares?
This problem is proposed by Shivang.
Details and assumptions
You may choose to read the post on Gaussian Integers.
You may submit original proposed problems to Calvin@Brilliant.org.