Cremona's table of elliptic curves

54168 = 2³ · 3 · 37 · 61

Class	r	Atkin-Lehner	Eigenvalues
54168a (2 curves)	0	2+ 3- 37+ 61+	2+ 3-  0  4 -2 -2  2  0
Curve Equation t 54168a1 [0,1,0,-748,-8128] 2 54168a2 [0,1,0,-688,-9424] 2
54168b (4 curves)	2	2+ 3- 37+ 61+	2+ 3- -2  0 -4 -6 -2  4
Curve Equation t Generators 54168b1 [0,1,0,-764,7872] 2 [-32:24:1]&[7:54:1] 54168b2 [0,1,0,-944,3696] 4 [3:30:1]&[31:72:1] 54168b3 [0,1,0,3496,32112] 2 [891:26670:1]&[-51:4312:27] 54168b4 [0,1,0,-8264,-289104] 2 [519:11640:1]&[-6945:5034:125]
54168c (1 curve)	1	2+ 3- 37+ 61-	2+ 3- -2  1 -1 -1 -7  1
Curve Equation t Generators 54168c1 [0,1,0,-24,1392] 1 [-86:183:8]
54168d (1 curve)	1	2- 3+ 37+ 61-	2- 3+ -2  4  3  4  3 -1
Curve Equation t Generators 54168d1 [0,-1,0,-23984,-1421700] 1 [110536:946323:512]
54168e (1 curve)	0	2- 3+ 37- 61-	2- 3+  1 -4 -3  2  8  6
Curve Equation t 54168e1 [0,-1,0,767495,735218989] 1
54168f (2 curves)	0	2- 3+ 37- 61-	2- 3+ -2  2  6 -2  6 -2
Curve Equation t 54168f1 [0,-1,0,-644,-5340] 2 54168f2 [0,-1,0,976,-29316] 2
54168g (1 curve)	0	2- 3+ 37- 61-	2- 3+  3  0  3  6  8 -2
Curve Equation t 54168g1 [0,-1,0,951,-2979] 1
54168h (1 curve)	0	2- 3+ 37- 61-	2- 3+  4  3 -3  1  3  1
Curve Equation t 54168h1 [0,-1,0,-736,52588] 1
54168i (2 curves)	0	2- 3+ 37- 61-	2- 3+  4 -4  6  2  2  0
Curve Equation t 54168i1 [0,-1,0,-751,-7712] 2 54168i2 [0,-1,0,-12036,-504252] 2
54168j (2 curves)	1	2- 3- 37- 61-	2- 3-  0  2  4  2 -6  6
Curve Equation t Generators 54168j1 [0,1,0,-3668,-31488] 2 [-44:216:1] 54168j2 [0,1,0,-47408,-3985584] 2 [-125:54:1]

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