Cremona's table of elliptic curves

36729 = 3² · 7 · 11 · 53

Class	r	Atkin-Lehner	Eigenvalues
36729a (1 curve)	1	3+ 7+ 11+ 53+	0 3+  2 7+ 11+  2  2  6
Curve Equation t Generators 36729a1 [0,0,1,-136944,19537868] 1 [286:1940:1]
36729b (1 curve)	1	3+ 7+ 11+ 53+	2 3+  2 7+ 11+  1  2 -6
Curve Equation t Generators 36729b1 [0,0,1,-1629,-25991] 1 [18400265684:147932885873:211708736]
36729c (1 curve)	1	3+ 7+ 11+ 53+	-2 3+  0 7+ 11+  7  2 -4
Curve Equation t Generators 36729c1 [0,0,1,5265,1620290] 1 [-102:148:1]
36729d (1 curve)	0	3+ 7+ 11+ 53-	2 3+  0 7+ 11+ -2  4 -4
Curve Equation t 36729d1 [0,0,1,-1125,-14525] 1
36729e (1 curve)	2	3+ 7+ 11- 53+	-2 3+  0 7+ 11- -2 -4 -4
Curve Equation t Generators 36729e1 [0,0,1,-10125,392168] 1 [69:-149:1]&[-12:715:1]
36729f (1 curve)	1	3+ 7+ 11- 53-	0 3+ -2 7+ 11-  2 -2  6
Curve Equation t Generators 36729f1 [0,0,1,-15216,-723625] 1 [145:344:1]
36729g (1 curve)	1	3+ 7+ 11- 53-	2 3+  0 7+ 11-  7 -2 -4
Curve Equation t Generators 36729g1 [0,0,1,585,-60011] 1 [2212:2443:64]
36729h (1 curve)	1	3+ 7+ 11- 53-	-2 3+ -2 7+ 11-  1 -2 -6
Curve Equation t Generators 36729h1 [0,0,1,-14661,701750] 1 [114:715:1]
36729i (1 curve)	0	3+ 7- 11+ 53+	2 3+  0 7- 11+ -6  0 -8
Curve Equation t 36729i1 [0,0,1,-12487095,-22764667741] 1
36729j (1 curve)	1	3+ 7- 11+ 53-	1 3+  0 7- 11+  3  0 -2
Curve Equation t Generators 36729j1 [1,-1,0,-147,-1372] 1 [28:112:1]
36729k (1 curve)	1	3+ 7- 11- 53+	-1 3+  0 7- 11-  3  0 -2
Curve Equation t Generators 36729k1 [1,-1,1,-1325,38368] 1 [106:986:1]
36729l (1 curve)	2	3+ 7- 11- 53-	-2 3+  0 7- 11- -6  0 -8
Curve Equation t Generators 36729l1 [0,0,1,-1387455,843135842] 1 [-1383:10804:1]&[-956:35997:1]
36729m (1 curve)	1	3- 7+ 11+ 53-	2 3-  2 7+ 11+  1 -4  6
Curve Equation t Generators 36729m1 [0,0,1,-643809,-198877721] 1 [31142498044:-355698610457:31554496]
36729n (1 curve)	1	3- 7+ 11+ 53-	2 3-  3 7+ 11+ -2  4  2
Curve Equation t Generators 36729n1 [0,0,1,879,-14441] 1 [2626:47757:8]
36729o (4 curves)	1	3- 7+ 11- 53+	1 3- -2 7+ 11- -2  6 -8
Curve Equation t Generators 36729o1 [1,-1,0,-8268,-306181] 2 [128770:4050407:125] 36729o2 [1,-1,0,-134673,-18988840] 4 [4120:261280:1] 36729o3 [1,-1,0,-137058,-18279541] 2 [-194:1087:1] 36729o4 [1,-1,0,-2154768,-1216905175] 2 [270676:16219957:64]
36729p (1 curve)	1	3- 7+ 11- 53+	-2 3-  1 7+ 11-  4  0  4
Curve Equation t Generators 36729p1 [0,0,1,-16047,955388] 1 [1597:63626:1]
36729q (2 curves)	0	3- 7+ 11- 53-	1 3-  0 7+ 11-  0  0  6
Curve Equation t 36729q1 [1,-1,0,-1737,28944] 2 36729q2 [1,-1,0,-27972,1807677] 2
36729r (1 curve)	0	3- 7+ 11- 53-	1 3- -3 7+ 11- -3  2  0
Curve Equation t 36729r1 [1,-1,0,-359226,-468464279] 1
36729s (1 curve)	1	3- 7- 11+ 53+	0 3-  0 7- 11+ -2 -6  0
Curve Equation t Generators 36729s1 [0,0,1,-6240,-216738] 1 [1782:75149:1]
36729t (1 curve)	1	3- 7- 11+ 53+	-2 3-  2 7- 11+ -1  0 -2
Curve Equation t Generators 36729t1 [0,0,1,51,-32] 1 [1:4:1]
36729u (1 curve)	0	3- 7- 11+ 53-	1 3-  1 7- 11+  1  2  0
Curve Equation t 36729u1 [1,-1,0,-1044,-13739] 1
36729v (2 curves)	0	3- 7- 11+ 53-	1 3-  4 7- 11+  4 -4  6
Curve Equation t 36729v1 [1,-1,0,-1170,45103] 2 36729v2 [1,-1,0,-27405,1750378] 2
36729w (1 curve)	2	3- 7- 11+ 53-	-2 3- -2 7- 11+ -2 -4 -6
Curve Equation t Generators 36729w1 [0,0,1,-111,1102] 1 [-110:39:8]&[10:31:1]
36729x (4 curves)	0	3- 7- 11- 53+	1 3- -2 7- 11-  2 -6  0
Curve Equation t 36729x1 [1,-1,0,-61983,5955120] 2 36729x2 [1,-1,0,-62028,5946075] 4 36729x3 [1,-1,0,-36513,10860264] 2 36729x4 [1,-1,0,-88263,452466] 2
36729y (1 curve)	0	3- 7- 11- 53+	-2 3-  4 7- 11- -1  6  6
Curve Equation t 36729y1 [0,0,1,-3,-144] 1

Data from Elliptic Curve Data by J. E. Cremona.
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