Cremona's table of elliptic curves

4588 = 2² · 31 · 37

Class	r	Atkin-Lehner	Eigenvalues
4588a (1 curve)	0	2- 31+ 37+	2-  0 -2  3 -6 -1  6 -2
Curve Equation t 4588a1 [0,0,0,64,-139] 1
4588b (1 curve)	1	2- 31+ 37-	2-  0  2  1 -6  5 -6  2
Curve Equation t Generators 4588b1 [0,0,0,-3704,-86767] 1 [94:629:1]
4588c (1 curve)	1	2- 31+ 37-	2-  1  0  1  3  0 -6  4
Curve Equation t Generators 4588c1 [0,1,0,-333,-2449] 1 [-11:2:1]
4588d (1 curve)	1	2- 31+ 37-	2-  2 -1  3 -4 -6  0  5
Curve Equation t Generators 4588d1 [0,-1,0,-126,-1303] 1 [26:111:1]
4588e (1 curve)	1	2- 31+ 37-	2- -2  3 -5  0  6  0  1
Curve Equation t Generators 4588e1 [0,1,0,-13834,621693] 1 [538:37:8]
4588f (1 curve)	1	2- 31- 37+	2- -3 -2  1 -1  6 -8 -2
Curve Equation t Generators 4588f1 [0,0,0,-736,7684] 1 [24:62:1]
4588g (1 curve)	2	2- 31- 37-	2-  0 -1 -5 -4 -4 -2  1
Curve Equation t Generators 4588g1 [0,0,0,7,-39] 1 [5:11:1]&[11:37:1]
4588h (1 curve)	2	2- 31- 37-	2- -3 -4  1 -1 -4 -2 -8
Curve Equation t Generators 4588h1 [0,0,0,-3112,66820] 1 [30996:-248186:343]&[8:206:1]

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