Cremona's table of elliptic curves

1128 = 2³ · 3 · 47

Class	r	Atkin-Lehner	Eigenvalues
1128a (1 curve)	1	2+ 3- 47-	2+ 3- -1 -1 -1 -4 -4 -6
Curve Equation t Generators 1128a1 [0,1,0,-81,243] 1 [3:6:1]
1128b (1 curve)	0	2- 3+ 47+	2- 3+  1  3  1 -2  2  2
Curve Equation t 1128b1 [0,-1,0,-985,-10931] 1
1128c (2 curves)	1	2- 3+ 47-	2- 3+  2  0 -6  0 -6 -4
Curve Equation t Generators 1128c1 [0,-1,0,8,28] 2 [1:6:1] 1128c2 [0,-1,0,-112,460] 2 [9:10:1]
1128d (2 curves)	1	2- 3+ 47-	2- 3+ -2  0 -2  4  2  8
Curve Equation t Generators 1128d1 [0,-1,0,-437784,142107228] 2 [182:8272:1] 1128d2 [0,-1,0,-7523664,7945078284] 2 [1210:660209:8]
1128e (1 curve)	1	2- 3+ 47-	2- 3+  3 -5  3 -6  2 -2
Curve Equation t Generators 1128e1 [0,-1,0,-9,-3] 1 [-1:2:1]
1128f (2 curves)	1	2- 3- 47+	2- 3-  0 -4 -4  2  2 -2
Curve Equation t Generators 1128f1 [0,1,0,12,0] 2 [2:6:1] 1128f2 [0,1,0,-48,-48] 2 [8:12:1]
1128g (1 curve)	1	2- 3- 47+	2- 3- -3 -1  5 -4 -4 -2
Curve Equation t Generators 1128g1 [0,1,0,-4577,117651] 1 [37:18:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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