Congruum g : 700 <= g <= 799

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

There are 35 congruum g : 700 <= g <= 799.
The solution of the following numbers are not in the range of 1 <= m, n <= 1,000,000.

701, 703, 717, 718, 719,
727, 733, 742, 743, 757,
758, 766, 767, 773, 781, 789, 797

Congruum g : 700 <= g <= 799

g	m	n	x	y	z
709	204901	44100	145274809	1709961412123	210
710	1440	1369	1022400	320607600	37
721	112	9	80752	22873004	3
	3025	2304	2181025	2087161615	48
	8464	8343	59248	2429812	9
723	10609	1200	2556769	4062010897	20
	40729	10800	9815689	29651686363	60
731	1521	688	25857	3708159	4
	2873	2752	48841	3099525	8
	516961	116272	8788337	25385618679	52
734	829472	18769	608832448	15018808345968	137
741	16	3	3952	244036	1
	70225	47424	70225	13725145	8
749	207152	94249	155156848	1721045599812	307
751	270400	53361	203070400	2836902469960	231
759	12	11	828	9522	1
	70225	12144	70225	18329255	4
761	640001	1600	487040761	10748468965491	40
777	148	27	38332	7378910	3
	925	756	34225	3648385	6
	1024	999	7168	133280	3
782	24200	5041	18924400	80519365080	71
790	77440	1521	61177600	478415088800	39
791	113	112	12769	191535	4
793	19825	17424	15721225	29735124965	132
	51301	11700	3129361	5389946641	30
	546325	177876	7102225	17896117265	54
798	32	25	25536	2547216	5
799	64	17	3008	159048	1

• 1 <= ‚‡ <= 99
• 100 <= ‚‡ <= 199
• 200 <= ‚‡ <= 299
• 300 <= ‚‡ <= 399
• 400 <= ‚‡ <= 499
• 500 <= ‚‡ <= 599
• 600 <= ‚‡ <= 699
• 700 <= ‚‡ <= 799
• 800 <= ‚‡ <= 899
• 900 <= ‚‡ <= 999