Cremona's table of elliptic curves

400 = 2⁴ · 5²

Class	r	Atkin-Lehner	Eigenvalues
400a (4 curves)	1	2+ 5+	2+  0 5+ -4 -4  2 -2 -4
Curve Equation t Generators 400a1 [0,0,0,-50,-125] 2 [15:50:1] 400a2 [0,0,0,-175,750] 4 [1:24:1] 400a3 [0,0,0,-2675,53250] 4 [-15:300:1] 400a4 [0,0,0,325,4250] 2 [-5:50:1]
400h (1 curve)	1	2+ 5+	2+ -3 5+  2 -1 -4 -5 -1
Curve Equation t Generators 400h1 [0,0,0,5,10] 1 [1:4:1]
400d (2 curves)	0	2+ 5-	2+  2 5-  2  4 -4  0  4
Curve Equation t 400d1 [0,-1,0,-3,2] 2 400d2 [0,-1,0,-28,-48] 2
400f (2 curves)	0	2+ 5-	2+ -2 5- -2  4  4  0  4
Curve Equation t 400f1 [0,1,0,-83,88] 2 400f2 [0,1,0,-708,-7412] 2
400g (1 curve)	0	2+ 5-	2+  3 5- -2 -1  4  5 -1
Curve Equation t 400g1 [0,0,0,125,1250] 1
400b (4 curves)	0	2- 5+	2-  1 5+  2  3  4  3 -5
Curve Equation t 400b1 [0,1,0,-48,-172] 1 400b2 [0,1,0,352,1268] 1 400b3 [0,1,0,-208,13588] 1 400b4 [0,1,0,-50208,4313588] 1
400e (4 curves)	0	2- 5+	2- -2 5+  2  0 -2  6  4
Curve Equation t 400e1 [0,1,0,-33,-62] 2 400e2 [0,1,0,92,-312] 2 400e3 [0,1,0,-1033,12438] 2 400e4 [0,1,0,-908,15688] 2
400c (4 curves)	1	2- 5-	2- -1 5- -2  3 -4 -3 -5
Curve Equation t Generators 400c1 [0,-1,0,-8,112] 1 [12:-40:1] 400c2 [0,-1,0,-2008,35312] 1 [28:-16:1] 400c3 [0,-1,0,-1208,-19088] 1 [92:800:1] 400c4 [0,-1,0,8792,140912] 1 [68:1024:1]

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