Cremona's table of elliptic curves

8584 = 2³ · 29 · 37

Class	r	Atkin-Lehner	Eigenvalues
8584a (4 curves)	1	2+ 29+ 37+	2+  0  2  0  0  2 -2  4
Curve Equation t Generators 8584a1 [0,0,0,-359,2618] 2 [-14:70:1] 8584a2 [0,0,0,-379,2310] 4 [-1770:8694:125] 8584a3 [0,0,0,-1859,-28770] 2 [-59813910:-111554002:2460375] 8584a4 [0,0,0,781,13678] 2 [-4860590:160589898:1520875]
8584b (1 curve)	0	2+ 29- 37+	2+  1  4 -4  3  4  1  6
Curve Equation t 8584b1 [0,1,0,24,32] 1
8584c (1 curve)	0	2+ 29- 37+	2+ -1  0  0  5 -4 -3  6
Curve Equation t 8584c1 [0,-1,0,1752,62428] 1
8584d (1 curve)	0	2- 29+ 37+	2-  1  4  5  3  2  0  0
Curve Equation t 8584d1 [0,1,0,-2081,35507] 1
8584e (1 curve)	1	2- 29+ 37-	2- -1  0  4 -3  0 -5 -2
Curve Equation t Generators 8584e1 [0,-1,0,-6128,-1241732] 1 [13574:1581388:1]
8584f (1 curve)	2	2- 29- 37-	2-  1 -2 -3 -5 -4 -2 -2
Curve Equation t Generators 8584f1 [0,1,0,-89,-325] 1 [-7:2:1]&[17:58:1]

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