Congruent number problem

Congruent number problem is Pythagorean theorem in elliptic curves which are rational number. You see that half of rectangular is in it. However, n=1 in Y^2=X^3-X. This is not congruent number.

This is algebra.

(n=5,6,7,13,14,15,20,95)

This is the same process with Y^2=X^3-X but the different elliptic curve. This is still fractal. n=5 is the first congruent number. n is the integer without square factors.

You can also write this. n is Congruent number.

ab/2=n

(a/c)^2+(b/c)^2=1

This is rational.
a=cx, b=cy

You remember rational point in X^2+y^2=1.

This is expansion, but you select proper numbers.

(n=5,6,7,13,14,15,20,95)

You see the horizon which is 0.

Y^2=X^3-n^2X
(n=157)