Cremona's table of elliptic curves

4165 = 5 · 7² · 17

Class	r	Atkin-Lehner	Eigenvalues
4165a (1 curve)	1	5+ 7+ 17+	-1 -1 5+ 7+ -3  1 17+  6
Curve Equation t Generators 4165a1 [1,1,1,-1,48] 1 [6:-21:1]
4165b (1 curve)	1	5+ 7+ 17+	-2 -1 5+ 7+ -4 -4 17+ -4
Curve Equation t Generators 4165b1 [0,-1,1,-16,-8] 1 [-2:3:1]
4165c (2 curves)	0	5+ 7+ 17-	0  1 5+ 7+ -6 -4 17- -4
Curve Equation t 4165c1 [0,1,1,-181561,29713191] 3 4165c2 [0,1,1,-414801,-60556520] 1
4165d (2 curves)	0	5+ 7- 17+	1  0 5+ 7- -2 -6 17+  0
Curve Equation t 4165d1 [1,-1,0,425,6936] 2 4165d2 [1,-1,0,-3950,83061] 2
4165e (1 curve)	0	5+ 7- 17+	-1  1 5+ 7- -2  4 17+ -2
Curve Equation t 4165e1 [1,0,0,-666,-6679] 1
4165f (1 curve)	0	5+ 7- 17+	2 -2 5+ 7- -2  1 17+ -2
Curve Equation t 4165f1 [0,1,1,-16,-409] 1
4165g (1 curve)	1	5+ 7- 17-	-2  0 5+ 7- -2  3 17-  0
Curve Equation t Generators 4165g1 [0,0,1,7,698] 1 [14:-60:1]
4165h (1 curve)	1	5- 7+ 17-	-1 -1 5- 7+ -2 -4 17-  2
Curve Equation t Generators 4165h1 [1,1,1,-32635,2258262] 1 [-78:2121:1]
4165i (2 curves)	1	5- 7- 17+	0 -1 5- 7- -6  4 17+  4
Curve Equation t Generators 4165i1 [0,-1,1,-3705,-85569] 1 [-35:2:1] 4165i2 [0,-1,1,-8465,178968] 1 [-96:312:1]
4165j (2 curves)	1	5- 7- 17+	1 -2 5- 7-  2 -2 17+  0
Curve Equation t Generators 4165j1 [1,0,1,-418,3231] 2 [15:12:1] 4165j2 [1,0,1,-173,7053] 2 [-1:85:1]
4165k (1 curve)	1	5- 7- 17+	-2  0 5- 7- -2 -3 17+  0
Curve Equation t Generators 4165k1 [0,0,1,343,-239500] 1 [98:857:1]
4165l (1 curve)	1	5- 7- 17+	-2 -2 5- 7-  2  1 17+ -6
Curve Equation t Generators 4165l1 [0,1,1,-489820,-132404926] 1 [1031:21437:1]
4165m (2 curves)	0	5- 7- 17-	1  0 5- 7- -2  6 17-  0
Curve Equation t 4165m1 [1,-1,0,20816,-2420685] 2 4165m2 [1,-1,0,-193559,-28102810] 2
4165n (1 curve)	0	5- 7- 17-	-1  1 5- 7- -3 -1 17- -6
Curve Equation t 4165n1 [1,0,0,-50,-16675] 1
4165o (1 curve)	0	5- 7- 17-	2 -2 5- 7-  6 -1 17-  6
Curve Equation t 4165o1 [0,1,1,21250,3246429] 1
4165p (1 curve)	0	5- 7- 17-	-2  1 5- 7- -4  4 17-  4
Curve Equation t 4165p1 [0,1,1,-800,4246] 1

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