Cremona's table of elliptic curves

800 = 2⁵ · 5²

Class	r	Atkin-Lehner	Eigenvalues
800a (4 curves)	1	2+ 5+	2+  0 5+  0  0 -6 -2  0
Curve Equation t Generators 800a1 [0,0,0,-25,0] 4 [-4:6:1] 800a2 [0,0,0,-275,-1750] 2 [370:2325:8] 800a3 [0,0,0,-275,1750] 2 [-15:50:1] 800a4 [0,0,0,100,0] 2 [5:25:1]
800b (1 curve)	1	2+ 5+	2+  1 5+ -2 -5  0 -5 -5
Curve Equation t Generators 800b1 [0,1,0,-8,8] 1 [2:2:1]
800c (2 curves)	1	2+ 5+	2+ -2 5+ -2  4  6 -2 -8
Curve Equation t Generators 800c1 [0,1,0,-158,-812] 2 [-8:2:1] 800c2 [0,1,0,-33,-1937] 2 [23:100:1]
800d (2 curves)	0	2+ 5-	2+  0 5-  0  0  4  8  0
Curve Equation t 800d1 [0,0,0,-125,0] 2 800d2 [0,0,0,500,0] 2
800e (1 curve)	0	2+ 5-	2+  1 5- -2  5  0  5  5
Curve Equation t 800e1 [0,1,0,-208,-1412] 1
800f (1 curve)	0	2- 5+	2- -1 5+  2  5  0 -5  5
Curve Equation t 800f1 [0,-1,0,-8,-8] 1
800g (2 curves)	0	2- 5+	2-  2 5+  2 -4  6 -2  8
Curve Equation t 800g1 [0,-1,0,-158,812] 2 800g2 [0,-1,0,-33,1937] 2
800h (2 curves)	1	2- 5-	2-  0 5-  0  0 -4 -8  0
Curve Equation t Generators 800h1 [0,0,0,-5,0] 2 [-1:2:1] 800h2 [0,0,0,20,0] 2 [4:12:1]
800i (1 curve)	1	2- 5-	2- -1 5-  2 -5  0  5 -5
Curve Equation t Generators 800i1 [0,-1,0,-208,1412] 1 [-8:50:1]

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