Cremona's table of elliptic curves

2080 = 2⁵ · 5 · 13

Class	r	Atkin-Lehner	Eigenvalues
2080a (2 curves)	1	2+ 5+ 13+	2+  0 5+  2  2 13+ -2 -2
Curve Equation t Generators 2080a1 [0,0,0,-433,3468] 2 [11:6:1] 2080a2 [0,0,0,-428,3552] 2 [2:52:1]
2080b (2 curves)	0	2- 5+ 13+	2-  0 5+ -2 -2 13+ -2  2
Curve Equation t 2080b1 [0,0,0,-433,-3468] 2 2080b2 [0,0,0,-428,-3552] 2
2080c (2 curves)	0	2- 5+ 13+	2-  2 5+  4  6 13+ -6  6
Curve Equation t 2080c1 [0,-1,0,-86,-280] 2 2080c2 [0,-1,0,-81,-319] 2
2080d (2 curves)	2	2- 5+ 13+	2- -2 5+ -4 -6 13+ -6 -6
Curve Equation t Generators 2080d1 [0,1,0,-86,280] 2 [-4:24:1]&[1:14:1] 2080d2 [0,1,0,-81,319] 2 [-6:25:1]&[-1:20:1]
2080e (4 curves)	0	2- 5- 13-	2-  0 5-  4  4 13-  2 -4
Curve Equation t 2080e1 [0,0,0,-217,1224] 4 2080e2 [0,0,0,-347,-414] 2 2080e3 [0,0,0,-3467,78574] 4 2080e4 [0,0,0,-92,2624] 4
2080f (4 curves)	0	2- 5- 13-	2-  0 5- -4 -4 13-  2  4
Curve Equation t 2080f1 [0,0,0,-217,-1224] 4 2080f2 [0,0,0,-3467,-78574] 2 2080f3 [0,0,0,-347,414] 4 2080f4 [0,0,0,-92,-2624] 4

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