Cremona's table of elliptic curves

6640 = 2⁴ · 5 · 83

Class	r	Atkin-Lehner	Eigenvalues
6640a (1 curve)	1	2+ 5+ 83+	2+  3 5+ -3 -1 -2 -3  6
Curve Equation t Generators 6640a1 [0,0,0,-178,1427] 1 [-123:1250:27]
6640b (1 curve)	2	2+ 5+ 83-	2+ -1 5+ -1 -3 -4 -5  0
Curve Equation t Generators 6640b1 [0,-1,0,-16,80] 1 [-4:8:1]&[-2:10:1]
6640c (1 curve)	0	2- 5+ 83+	2-  1 5+  3 -5  2  3 -6
Curve Equation t 6640c1 [0,1,0,-21,-46] 1
6640d (2 curves)	1	2- 5+ 83-	2- -1 5+  1 -3  2  3 -2
Curve Equation t Generators 6640d1 [0,-1,0,-1381,-19300] 1 [88:730:1] 6640d2 [0,-1,0,-1221,-24104] 1 [756:20750:1]
6640e (1 curve)	0	2- 5- 83-	2-  1 5-  3  5  2 -3  6
Curve Equation t 6640e1 [0,1,0,-178960,-29542892] 1
6640f (2 curves)	2	2- 5- 83-	2- -1 5- -5 -3 -4  3 -8
Curve Equation t Generators 6640f1 [0,-1,0,600,3952] 1 [-6:10:1]&[4:80:1] 6640f2 [0,-1,0,-13400,608752] 1 [-6:830:1]&[44:320:1]
6640g (1 curve)	0	2- 5- 83-	2-  3 5-  3 -3 -4 -1  0
Curve Equation t 6640g1 [0,0,0,53,-4486] 1
6640h (1 curve)	0	2- 5- 83-	2-  3 5- -3  5 -2 -1  2
Curve Equation t 6640h1 [0,0,0,8,-1] 1
6640i (1 curve)	2	2- 5- 83-	2- -3 5- -1 -3 -6 -7 -2
Curve Equation t Generators 6640i1 [0,0,0,-1747,28114] 1 [-17:230:1]&[-7:200:1]

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