Cremona's table of elliptic curves

47168 = 2⁶ · 11 · 67

Class	r	Atkin-Lehner	Eigenvalues
47168a (1 curve)	1	2+ 11+ 67+	2+ -2  2 -2 11+  2  7 -3
Curve Equation t Generators 47168a1 [0,1,0,1623,-3863] 1 [464:10043:1]
47168b (1 curve)	0	2+ 11+ 67-	2+  0  0  2 11+ -4 -3  5
Curve Equation t 47168b1 [0,0,0,-320,-2272] 1
47168c (2 curves)	0	2+ 11+ 67-	2+  0  0  4 11+  2 -2  4
Curve Equation t 47168c1 [0,0,0,-980,11808] 2 47168c2 [0,0,0,-940,12816] 2
47168d (2 curves)	0	2+ 11- 67+	2+  0  0 -4 11-  2 -2 -4
Curve Equation t 47168d1 [0,0,0,-980,-11808] 2 47168d2 [0,0,0,-940,-12816] 2
47168e (2 curves)	1	2+ 11- 67-	2+  0 -4  4 11-  2 -2 -8
Curve Equation t Generators 47168e1 [0,0,0,-812,-7120] 2 [-564:728:27] 47168e2 [0,0,0,1748,-42960] 2 [118:1344:1]
47168f (2 curves)	0	2- 11+ 67+	2-  0 -4 -4 11+  2 -2  8
Curve Equation t 47168f1 [0,0,0,-812,7120] 2 47168f2 [0,0,0,1748,42960] 2
47168g (1 curve)	1	2- 11- 67+	2-  0  0 -2 11- -4 -3 -5
Curve Equation t Generators 47168g1 [0,0,0,-320,2272] 1 [9:11:1]
47168h (1 curve)	0	2- 11- 67-	2-  2  2  2 11-  2  7  3
Curve Equation t 47168h1 [0,-1,0,1623,3863] 1

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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