Cremona's table of elliptic curves

4048 = 2⁴ · 11 · 23

Class	r	Atkin-Lehner	Eigenvalues
4048a (1 curve)	1	2+ 11- 23-	2+  1  0  0 11-  1  2 -6
Curve Equation t Generators 4048a1 [0,1,0,-8,11] 1 [5:11:1]
4048b (1 curve)	1	2+ 11- 23-	2+ -2 -3 -3 11- -5 -1  6
Curve Equation t Generators 4048b1 [0,1,0,-1352,-5996] 1 [-30:92:1]
4048c (1 curve)	0	2- 11+ 23+	2-  0 -1 -1 11+ -7  3  2
Curve Equation t 4048c1 [0,0,0,-14963,-703694] 1
4048d (2 curves)	0	2- 11+ 23+	2-  0  2 -4 11+  2  0 -4
Curve Equation t 4048d1 [0,0,0,-4,15] 2 4048d2 [0,0,0,-119,498] 2
4048e (1 curve)	1	2- 11+ 23-	2- -1 -4 -2 11+  3 -2  6
Curve Equation t Generators 4048e1 [0,-1,0,-10,-109] 1 [25:121:1]
4048f (1 curve)	1	2- 11+ 23-	2-  2 -1  1 11+ -3 -5  6
Curve Equation t Generators 4048f1 [0,-1,0,-1376,-18688] 1 [-528:512:27]
4048g (2 curves)	1	2- 11+ 23-	2-  2  3 -5 11+ -1 -3 -2
Curve Equation t Generators 4048g1 [0,-1,0,-184,-528] 1 [-6:18:1] 4048g2 [0,-1,0,-6344,196592] 1 [34:138:1]
4048h (1 curve)	1	2- 11- 23+	2-  0 -3  3 11- -1 -1  2
Curve Equation t Generators 4048h1 [0,0,0,-59,106] 1 [-3:16:1]
4048i (1 curve)	1	2- 11- 23+	2-  0 -3 -3 11-  5  5  2
Curve Equation t Generators 4048i1 [0,0,0,-4648979,-3858197806] 1 [-155605:242:125]
4048j (2 curves)	1	2- 11- 23+	2- -1  0  4 11-  5 -6 -2
Curve Equation t Generators 4048j1 [0,-1,0,22,223] 1 [-3:11:1] 4048j2 [0,-1,0,-2278,42635] 1 [29:11:1]
4048k (1 curve)	0	2- 11- 23-	2- -1  4 -2 11-  3  6  6
Curve Equation t 4048k1 [0,-1,0,-884166,-319707497] 1
4048l (1 curve)	0	2- 11- 23-	2-  2  1  1 11-  3  3  6
Curve Equation t 4048l1 [0,-1,0,-760,8304] 1

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