Cremona's table of elliptic curves

18585 = 3² · 5 · 7 · 59

Class	r	Atkin-Lehner	Eigenvalues
18585a (1 curve)	1	3+ 5+ 7+ 59+	0 3+ 5+ 7+ -1 -3  7 -7
Curve Equation t Generators 18585a1 [0,0,1,-138,623] 1 [9:10:1]
18585b (1 curve)	1	3+ 5- 7+ 59-	0 3+ 5- 7+  1 -3 -7 -7
Curve Equation t Generators 18585b1 [0,0,1,-1242,-16828] 1 [-20:3:1]
18585c (1 curve)	0	3- 5+ 7+ 59+	0 3- 5+ 7+  5  3  1 -4
Curve Equation t 18585c1 [0,0,1,72,11333] 1
18585d (4 curves)	0	3- 5+ 7+ 59+	1 3- 5+ 7+  0 -2  6  4
Curve Equation t 18585d1 [1,-1,0,-10620,400315] 2 18585d2 [1,-1,0,-167265,26372056] 4 18585d3 [1,-1,0,-2676240,1685808121] 2 18585d4 [1,-1,0,-164610,27247675] 2
18585e (1 curve)	0	3- 5+ 7+ 59+	1 3- 5+ 7+  3  4  3 -5
Curve Equation t 18585e1 [1,-1,0,0,-59] 1
18585f (2 curves)	1	3- 5+ 7+ 59-	1 3- 5+ 7+  2  2  2 -4
Curve Equation t Generators 18585f1 [1,-1,0,-39690,-3033369] 2 [1984311030:-424442751:8615125] 18585f2 [1,-1,0,-37035,-3458700] 2 [72720:1601262:125]
18585g (4 curves)	1	3- 5+ 7+ 59-	-1 3- 5+ 7+ -4  2  6  0
Curve Equation t Generators 18585g1 [1,-1,1,157,-894] 2 [6:12:1] 18585g2 [1,-1,1,-968,-8094] 4 [-24:41:1] 18585g3 [1,-1,1,-14243,-650604] 2 [-69:41:1] 18585g4 [1,-1,1,-5693,160116] 2 [-82:306:1]
18585h (2 curves)	1	3- 5+ 7+ 59-	-1 3- 5+ 7+  6  2 -6  4
Curve Equation t Generators 18585h1 [1,-1,1,-788,-6298] 2 [72:517:1] 18585h2 [1,-1,1,1867,-41344] 2 [30:187:1]
18585i (1 curve)	1	3- 5+ 7+ 59-	2 3- 5+ 7+ -1  5  3 -3
Curve Equation t Generators 18585i1 [0,0,1,-537393,151628953] 1 [-11164:991581:64]
18585j (1 curve)	1	3- 5+ 7- 59+	0 3- 5+ 7- -1 -3 -1 -1
Curve Equation t Generators 18585j1 [0,0,1,-154668,-23315436] 1 [-232:283:1]
18585k (2 curves)	0	3- 5+ 7- 59-	0 3- 5+ 7- -3  2  6 -4
Curve Equation t 18585k1 [0,0,1,-138,-1656] 1 18585k2 [0,0,1,1212,38979] 3
18585l (1 curve)	2	3- 5- 7+ 59-	-2 3- 5- 7+ -1 -1 -7 -7
Curve Equation t Generators 18585l1 [0,0,1,-237,-378] 1 [-13:22:1]&[-10:31:1]
18585m (1 curve)	0	3- 5- 7- 59+	0 3- 5- 7-  3 -5 -3  7
Curve Equation t 18585m1 [0,0,1,-475842,111545815] 1
18585n (4 curves)	0	3- 5- 7- 59+	1 3- 5- 7-  0  6  2  0
Curve Equation t 18585n1 [1,-1,0,-18999,1012720] 2 18585n2 [1,-1,0,-19404,967603] 4 18585n3 [1,-1,0,-65709,-5357660] 2 18585n4 [1,-1,0,20421,4400518] 4

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