Congruum g : 1 <= g <= 499

Definition 1.

k²g=mn(m²-n²)
k, m, n, g in N (integer > 0)

Definition 2.

(x/z², y/z³) on elliptic curve Y²=X³-g²X
x, y, z in Z (integer)
X, Y in Q (rational)

X=mg/n, Y=kg²/n²

Type means,

6. m=(i²�{j²)², n=(i²�|j²)²
7. m=(i²�{j²)², n=(2ij)²
8. m=(i²�|j²)², n=(2ij)²
9. m=(2ij)², n=(i²�|j²)²

There are 185 congruum g : 1 <= g <= 499.
The solution of the following numbers are found.

167, 287, 359, 383, 479

The solution of the following numbers are not in the range of 1 <= i, j <= 10,000.

53, 101, 103, 118, 127, 142, 157, 173, 181, 191,
197, 199, 223, 229, 237, 263, 269, 271, 277, 278,
293, 302, 303, 311, 317, 326, 327, 334, 349, 358,
365, 367, 373, 382, 389, 397, 398, 407, 413, 415,
421, 431, 439, 446, 453, 454, 461, 463, 478, 485,
487, 493

• 1 <= �� <= 499
• 500 <= �� <= 999