Cremona's table of elliptic curves

18675 = 3² · 5² · 83

Class	r	Atkin-Lehner	Eigenvalues
18675a (2 curves)	1	3+ 5+ 83+	1 3+ 5+ -4 -6  0  2 -4
Curve Equation t Generators 18675a1 [1,-1,0,2808,-133909] 2 [1742:25379:8] 18675a2 [1,-1,0,-28317,-1596784] 2 [-7244:28297:64]
18675b (2 curves)	1	3+ 5+ 83+	-1 3+ 5+  0  0 -6 -4  2
Curve Equation t Generators 18675b1 [1,-1,1,-155,722] 2 [-6:40:1] 18675b2 [1,-1,1,-530,-3778] 2 [-11:30:1]
18675c (2 curves)	0	3+ 5+ 83-	1 3+ 5+  0  0 -6  4  2
Curve Equation t 18675c1 [1,-1,0,-1392,-18109] 2 18675c2 [1,-1,0,-4767,106766] 2
18675d (2 curves)	0	3+ 5+ 83-	-1 3+ 5+ -4  6  0 -2 -4
Curve Equation t 18675d1 [1,-1,1,25270,3590272] 2 18675d2 [1,-1,1,-254855,43368022] 2
18675e (1 curve)	0	3- 5+ 83+	1 3- 5+ -1 -3  6  5  2
Curve Equation t 18675e1 [1,-1,0,1758,23291] 1
18675f (1 curve)	0	3- 5+ 83+	1 3- 5+ -1 -3  6 -7  2
Curve Equation t 18675f1 [1,-1,0,-24567,1488716] 1
18675g (1 curve)	0	3- 5+ 83+	1 3- 5+  4  3 -2  4 -1
Curve Equation t 18675g1 [1,-1,0,333,-1134] 1
18675h (2 curves)	0	3- 5+ 83+	-1 3- 5+  0 -2 -4 -4 -2
Curve Equation t 18675h1 [1,-1,1,-7806380,8370640622] 2 18675h2 [1,-1,1,-4290755,15943296872] 2
18675i (1 curve)	0	3- 5+ 83+	-1 3- 5+  0  3  6 -4 -7
Curve Equation t 18675i1 [1,-1,1,-12380,-527128] 1
18675j (1 curve)	0	3- 5+ 83+	-1 3- 5+  3 -3  6  5  2
Curve Equation t 18675j1 [1,-1,1,220,722] 1
18675k (4 curves)	1	3- 5+ 83-	1 3- 5+  0  0 -2 -2 -4
Curve Equation t Generators 18675k1 [1,-1,0,-3042,8991] 2 [-58:1429:8] 18675k2 [1,-1,0,-31167,-2100384] 4 [1327524:40538238:1331] 18675k3 [1,-1,0,-498042,-135159759] 2 [-1446891703726:728562169663:3553559576] 18675k4 [1,-1,0,-14292,-4378509] 2 [9510:320937:8]
18675l (1 curve)	1	3- 5+ 83-	1 3- 5+ -3 -3  4 -5  2
Curve Equation t Generators 18675l1 [1,-1,0,-472617,125498916] 1 [-780:4764:1]
18675m (1 curve)	1	3- 5+ 83-	-1 3- 5+ -3  1 -4 -1 -2
Curve Equation t Generators 18675m1 [1,-1,1,-95,14762] 1 [108:1066:1]
18675n (1 curve)	1	3- 5- 83+	1 3- 5-  3  1  4  1 -2
Curve Equation t Generators 18675n1 [1,-1,0,-2367,1842916] 1 [44:1328:1]
18675o (2 curves)	1	3- 5- 83+	1 3- 5-  4 -2 -2 -6  4
Curve Equation t Generators 18675o1 [1,-1,0,20133,6955416] 2 [48648:10705584:1] 18675o2 [1,-1,0,-446742,109201041] 2 [133495362:-29508460983:2744]
18675p (1 curve)	1	3- 5- 83+	-1 3- 5-  3 -3 -4  5  2
Curve Equation t Generators 18675p1 [1,-1,1,-18905,1007772] 1 [-10:1098:1]
18675q (1 curve)	2	3- 5- 83-	-1 3- 5-  1 -3 -6 -5  2
Curve Equation t Generators 18675q1 [1,-1,1,70,172] 1 [-2:5:1]&[4:20:1]
18675r (2 curves)	0	3- 5- 83-	-1 3- 5- -4 -2  2  6  4
Curve Equation t 18675r1 [1,-1,1,805,55482] 2 18675r2 [1,-1,1,-17870,877182] 2

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