Cremona's table of elliptic curves

11696 = 2⁴ · 17 · 43

Class	r	Atkin-Lehner	Eigenvalues
11696a (1 curve)	1	2+ 17+ 43+	2+  1  3  0 -2 -3 17+  2
Curve Equation t Generators 11696a1 [0,1,0,1,224] 1 [10:121:8]
11696b (2 curves)	1	2+ 17+ 43+	2+  2  4 -2 -4 -2 17+ -4
Curve Equation t Generators 11696b1 [0,-1,0,9,-22] 2 [137828:6394635:64] 11696b2 [0,-1,0,-76,-192] 2 [-780:72:125]
11696c (2 curves)	0	2+ 17+ 43-	2+ -2 -4 -2  0  6 17+  4
Curve Equation t 11696c1 [0,1,0,-1580,-24596] 2 11696c2 [0,1,0,-720,-50396] 2
11696d (2 curves)	2	2+ 17- 43+	2+  0 -2  2 -6 -6 17- -4
Curve Equation t Generators 11696d1 [0,0,0,-473171,125278114] 2 [201:6188:1]&[235:5202:1] 11696d2 [0,0,0,-471451,126234090] 2 [-369:15810:1]&[362:1734:1]
11696e (1 curve)	0	2+ 17- 43+	2+  1 -3  4  4  5 17- -8
Curve Equation t 11696e1 [0,1,0,-2452,-61364] 1
11696f (1 curve)	2	2+ 17- 43+	2+ -3  1 -4  0 -3 17- -4
Curve Equation t Generators 11696f1 [0,0,0,-7,22] 1 [-3:4:1]&[1:4:1]
11696g (1 curve)	1	2+ 17- 43-	2+  1 -1  4  0 -3 17-  4
Curve Equation t Generators 11696g1 [0,1,0,-51,-184] 1 [74:119:8]
11696h (2 curves)	1	2+ 17- 43-	2+  2 -2 -4  0  2 17-  0
Curve Equation t Generators 11696h1 [0,-1,0,-685304,162727808] 2 [-884:8772:1] 11696h2 [0,-1,0,-3865584,-2791116256] 2 [42890:8872878:1]
11696i (1 curve)	2	2- 17+ 43+	2- -1 -3  0 -4  1 17+  0
Curve Equation t Generators 11696i1 [0,-1,0,3,4] 1 [0:2:1]&[4:8:1]
11696j (2 curves)	1	2- 17+ 43-	2-  0  4  0  2  2 17+ -4
Curve Equation t Generators 11696j1 [0,0,0,-923,10570] 2 [15:10:1] 11696j2 [0,0,0,-14683,684810] 2 [495:10710:1]
11696k (1 curve)	1	2- 17+ 43-	2-  1 -3  0 -2  5 17+ -2
Curve Equation t Generators 11696k1 [0,1,0,88,-76] 1 [14:64:1]
11696l (1 curve)	1	2- 17+ 43-	2- -1 -1  0  6  1 17+  2
Curve Equation t Generators 11696l1 [0,-1,0,-8616,-304976] 1 [108:112:1]
11696m (1 curve)	1	2- 17+ 43-	2- -3  1  0  2  5 17+  2
Curve Equation t Generators 11696m1 [0,0,0,-99787,27462778] 1 [2373:114688:1]
11696n (1 curve)	1	2- 17- 43+	2-  1 -3  0  6 -7 17-  6
Curve Equation t Generators 11696n1 [0,1,0,-17,-34] 1 [58:133:8]

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