Cremona's table of elliptic curves

51168 = 2⁵ · 3 · 13 · 41

Class	r	Atkin-Lehner	Eigenvalues
51168a (1 curve)	1	2+ 3+ 13+ 41+	2+ 3+  0  0 -3 13+ -1 -2
Curve Equation t Generators 51168a1 [0,-1,0,-17213,875733] 1 [79:52:1]
51168b (2 curves)	1	2+ 3+ 13+ 41+	2+ 3+ -2 -2 -4 13+ -8  8
Curve Equation t Generators 51168b1 [0,-1,0,-14,-96] 2 [7:10:1] 51168b2 [0,-1,0,-424,-3212] 2 [-12:2:1]
51168c (1 curve)	0	2+ 3+ 13- 41+	2+ 3+  1 -2 -3 13-  7  2
Curve Equation t 51168c1 [0,-1,0,-59105,-5187951] 1
51168d (1 curve)	0	2+ 3+ 13- 41+	2+ 3+  4  4 -3 13-  7  2
Curve Equation t 51168d1 [0,-1,0,99,-267] 1
51168e (1 curve)	1	2+ 3+ 13- 41-	2+ 3+  3 -2 -3 13-  3 -8
Curve Equation t Generators 51168e1 [0,-1,0,-369,2337] 1 [-1:52:1]
51168f (4 curves)	0	2+ 3- 13+ 41+	2+ 3- -2  0  4 13+  6  0
Curve Equation t 51168f1 [0,1,0,-794,6336] 4 51168f2 [0,1,0,1871,42047] 2 51168f3 [0,1,0,-4304,-104580] 2 51168f4 [0,1,0,-11864,493416] 2
51168g (2 curves)	0	2+ 3- 13+ 41+	2+ 3- -2  2  4 13+ -8 -8
Curve Equation t 51168g1 [0,1,0,-14,96] 2 51168g2 [0,1,0,-424,3212] 2
51168h (1 curve)	2	2+ 3- 13- 41-	2+ 3- -1 -2 -3 13- -3 -2
Curve Equation t Generators 51168h1 [0,1,0,-1281,16911] 1 [15:36:1]&[-30:171:1]
51168i (1 curve)	0	2+ 3- 13- 41-	2+ 3-  3  2  3 13-  3  8
Curve Equation t 51168i1 [0,1,0,-369,-2337] 1
51168j (1 curve)	0	2- 3+ 13+ 41+	2- 3+  1  2 -5 13+  7  4
Curve Equation t 51168j1 [0,-1,0,-2705,-53247] 1
51168k (4 curves)	0	2- 3+ 13+ 41+	2- 3+ -2  0 -4 13+  6  0
Curve Equation t 51168k1 [0,-1,0,-794,-6336] 4 51168k2 [0,-1,0,1871,-42047] 2 51168k3 [0,-1,0,-4304,104580] 2 51168k4 [0,-1,0,-11864,-493416] 2
51168l (4 curves)	1	2- 3+ 13+ 41-	2- 3+ -2  4  4 13+  6 -4
Curve Equation t Generators 51168l1 [0,-1,0,-534,-4536] 4 [2036:91840:1] 51168l2 [0,-1,0,-144,-11400] 2 [1107715:-1636832:42875] 51168l3 [0,-1,0,-944,3828] 2 [4:10:1] 51168l4 [0,-1,0,-8529,-300351] 2 [-217080160:-344407:4096000]
51168m (1 curve)	0	2- 3+ 13- 41-	2- 3+ -1  2  3 13- -3  2
Curve Equation t 51168m1 [0,-1,0,-1281,-16911] 1
51168n (1 curve)	1	2- 3- 13+ 41+	2- 3-  0  0  3 13+ -1  2
Curve Equation t Generators 51168n1 [0,1,0,-17213,-875733] 1 [181:1404:1]
51168o (1 curve)	1	2- 3- 13+ 41+	2- 3-  1 -2  5 13+  7 -4
Curve Equation t Generators 51168o1 [0,1,0,-2705,53247] 1 [31:12:1]
51168p (4 curves)	0	2- 3- 13+ 41-	2- 3- -2 -4 -4 13+  6  4
Curve Equation t 51168p1 [0,1,0,-534,4536] 4 51168p2 [0,1,0,-144,11400] 2 51168p3 [0,1,0,-944,-3828] 2 51168p4 [0,1,0,-8529,300351] 2
51168q (1 curve)	0	2- 3- 13- 41+	2- 3-  1  2  3 13-  7 -2
Curve Equation t 51168q1 [0,1,0,-59105,5187951] 1
51168r (1 curve)	0	2- 3- 13- 41+	2- 3-  4 -4  3 13-  7 -2
Curve Equation t 51168r1 [0,1,0,99,267] 1

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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