Cremona's table of elliptic curves

5658 = 2 · 3 · 23 · 41

Class	r	Atkin-Lehner	Eigenvalues
5658a (2 curves)	0	2+ 3+ 23+ 41-	2+ 3+ -2 -2  2  6  0  4
Curve Equation t 5658a1 [1,1,0,13059,44321661] 2 5658a2 [1,1,0,-1802421,911758005] 2
5658b (2 curves)	0	2+ 3+ 23- 41+	2+ 3+  0  4 -6  2  6  6
Curve Equation t 5658b1 [1,1,0,590,-2444] 2 5658b2 [1,1,0,-2650,-23828] 2
5658c (2 curves)	1	2+ 3+ 23- 41-	2+ 3+  0  4  2 -2  2 -4
Curve Equation t Generators 5658c1 [1,1,0,90,2628] 2 [-9:39:1] 5658c2 [1,1,0,-2370,41496] 2 [17:72:1]
5658d (1 curve)	1	2- 3+ 23+ 41-	2- 3+  1 -2 -4  3 -3  7
Curve Equation t Generators 5658d1 [1,1,1,115,-637] 1 [11:40:1]
5658e (2 curves)	1	2- 3+ 23- 41+	2- 3+  0 -2  0  2  0  0
Curve Equation t Generators 5658e1 [1,1,1,-6993,222639] 2 [31:176:1] 5658e2 [1,1,1,-111953,14371247] 2 [187:44:1]
5658f (2 curves)	1	2- 3+ 23- 41+	2- 3+ -4 -2  4 -6  0  4
Curve Equation t Generators 5658f1 [1,1,1,240,-1359] 2 [7:23:1] 5658f2 [1,1,1,-1400,-14479] 2 [-17:77:1]
5658g (6 curves)	0	2- 3- 23+ 41-	2- 3- -2  0  4  6  2 -4
Curve Equation t 5658g1 [1,0,0,226,54468] 4 5658g2 [1,0,0,-20254,1082564] 8 5658g3 [1,0,0,-46174,-2261116] 4 5658g4 [1,0,0,-322014,70306308] 4 5658g5 [1,0,0,-651334,-202327012] 2 5658g6 [1,0,0,144266,-16087060] 2
5658h (2 curves)	0	2- 3- 23- 41+	2- 3-  0  2  4 -2  0  4
Curve Equation t 5658h1 [1,0,0,-23,69] 2 5658h2 [1,0,0,-433,3431] 2
5658i (1 curve)	0	2- 3- 23- 41+	2- 3- -3  2  4  1  3  1
Curve Equation t 5658i1 [1,0,0,-5212,-145264] 1

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