Cremona's table of elliptic curves

1008 = 2⁴ · 3² · 7

Class	r	Atkin-Lehner	Eigenvalues
1008a (2 curves)	1	2+ 3+ 7+	2+ 3+  2 7+ -6 -6 -2 -4
Curve Equation t Generators 1008a1 [0,0,0,-54,135] 2 [7:10:1] 1008a2 [0,0,0,81,702] 2 [1:28:1]
1008b (2 curves)	1	2+ 3+ 7+	2+ 3+ -2 7+  6 -6  2 -4
Curve Equation t Generators 1008b1 [0,0,0,-6,-5] 2 [3:2:1] 1008b2 [0,0,0,9,-26] 2 [5:12:1]
1008c (2 curves)	0	2+ 3+ 7-	2+ 3+  2 7- -2  2  6  4
Curve Equation t 1008c1 [0,0,0,-54,243] 2 1008c2 [0,0,0,-999,12150] 2
1008d (2 curves)	0	2+ 3+ 7-	2+ 3+ -2 7-  2  2 -6  4
Curve Equation t 1008d1 [0,0,0,-6,-9] 2 1008d2 [0,0,0,-111,-450] 2
1008e (4 curves)	0	2+ 3- 7+	2+ 3- -2 7+  0  6  2 -4
Curve Equation t 1008e1 [0,0,0,-66,1339] 2 1008e2 [0,0,0,-2271,41470] 4 1008e3 [0,0,0,-3531,-9686] 2 1008e4 [0,0,0,-36291,2661010] 4
1008f (2 curves)	0	2+ 3- 7+	2+ 3-  4 7+  0  0  2  2
Curve Equation t 1008f1 [0,0,0,-3,-110] 2 1008f2 [0,0,0,-363,-2630] 2
1008g (4 curves)	1	2+ 3- 7-	2+ 3- -2 7-  0 -2 -6  4
Curve Equation t Generators 1008g1 [0,0,0,-66,-205] 2 [11:20:1] 1008g2 [0,0,0,-111,110] 4 [-2:18:1] 1008g3 [0,0,0,-1371,19514] 2 [-5:162:1] 1008g4 [0,0,0,429,866] 4 [1:36:1]
1008h (4 curves)	1	2+ 3- 7-	2+ 3- -2 7- -4  2  6 -8
Curve Equation t Generators 1008h1 [0,0,0,9,54] 2 [1:8:1] 1008h2 [0,0,0,-171,810] 4 [-3:36:1] 1008h3 [0,0,0,-531,-3726] 2 [-11:28:1] 1008h4 [0,0,0,-2691,53730] 2 [31:10:1]
1008i (6 curves)	1	2- 3- 7+	2- 3-  0 7+  0 -4 -6 -2
Curve Equation t Generators 1008i1 [0,0,0,-75,506] 2 [5:16:1] 1008i2 [0,0,0,-1515,22682] 2 [13:72:1] 1008i3 [0,0,0,645,-10582] 2 [31:198:1] 1008i4 [0,0,0,-5115,-115414] 2 [-35:144:1] 1008i5 [0,0,0,-24555,-1485286] 2 [3223:182754:1] 1008i6 [0,0,0,-393195,-94898662] 2 [821:11648:1]
1008j (4 curves)	1	2- 3- 7+	2- 3-  0 7+ -6  2  0  4
Curve Equation t Generators 1008j1 [0,0,0,60,-61] 2 [13:54:1] 1008j2 [0,0,0,-255,-502] 2 [-14:18:1] 1008j3 [0,0,0,-1020,-12913] 2 [49:234:1] 1008j4 [0,0,0,-16455,-812446] 2 [2450:38259:8]
1008k (6 curves)	0	2- 3- 7-	2- 3-  2 7-  4 -2  6 -4
Curve Equation t 1008k1 [0,0,0,141,-142] 2 1008k2 [0,0,0,-579,-1150] 4 1008k3 [0,0,0,-7059,-227950] 4 1008k4 [0,0,0,-5619,161138] 2 1008k5 [0,0,0,-112899,-14601022] 2 1008k6 [0,0,0,-4899,-370078] 4
1008l (6 curves)	0	2- 3- 7-	2- 3-  2 7- -4  6 -2  4
Curve Equation t 1008l1 [0,0,0,-579,11842] 2 1008l2 [0,0,0,-12099,511810] 4 1008l3 [0,0,0,-14979,249730] 4 1008l4 [0,0,0,-193539,32771842] 2 1008l5 [0,0,0,-131619,-18202718] 2 1008l6 [0,0,0,55581,1929058] 2
1008m (2 curves)	0	2- 3- 7-	2- 3- -4 7-  2 -6  4  4
Curve Equation t 1008m1 [0,0,0,-12,-65] 2 1008m2 [0,0,0,-327,-2270] 2

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