Cremona's table of elliptic curves

600 = 2³ · 3 · 5²

Class	r	Atkin-Lehner	Eigenvalues
600a (6 curves)	1	2+ 3+ 5+	2+ 3+ 5+  0 -4 -6  6 -4
Curve Equation t Generators 600a1 [0,-1,0,-383,3012] 4 [-13:75:1] 600a2 [0,-1,0,-508,1012] 4 [-14:72:1] 600a3 [0,-1,0,-5008,-133988] 4 [-39:22:1] 600a4 [0,-1,0,1992,6012] 2 [2:100:1] 600a5 [0,-1,0,-80008,-8683988] 2 [4746:98725:8] 600a6 [0,-1,0,-2008,-295988] 2 [561:13222:1]
600b (1 curve)	1	2+ 3+ 5+	2+ 3+ 5+ -3  2  3 -6 -7
Curve Equation t Generators 600b1 [0,-1,0,7,-3] 1 [1:2:1]
600c (2 curves)	0	2+ 3+ 5-	2+ 3+ 5-  2  2 -2 -6  8
Curve Equation t 600c1 [0,-1,0,32,-68] 2 600c2 [0,-1,0,-168,-468] 2
600d (6 curves)	0	2+ 3- 5+	2+ 3- 5+  0  4  2 -2 -4
Curve Equation t 600d1 [0,1,0,17,38] 2 600d2 [0,1,0,-108,288] 4 600d3 [0,1,0,-608,-5712] 4 600d4 [0,1,0,-1608,24288] 2 600d5 [0,1,0,-9608,-365712] 2 600d6 [0,1,0,392,-21712] 2
600e (1 curve)	1	2+ 3- 5-	2+ 3- 5- -5 -6 -3 -2  1
Curve Equation t Generators 600e1 [0,1,0,-233,1563] 1 [43:-270:1]
600f (4 curves)	0	2- 3+ 5+	2- 3+ 5+ -4  0  6  2  4
Curve Equation t 600f1 [0,-1,0,92,-188] 4 600f2 [0,-1,0,-408,-1188] 4 600f3 [0,-1,0,-5408,-151188] 2 600f4 [0,-1,0,-3408,76812] 2
600g (1 curve)	0	2- 3+ 5+	2- 3+ 5+  5 -6  3  2  1
Curve Equation t 600g1 [0,-1,0,-5833,207037] 1
600h (2 curves)	0	2- 3- 5-	2- 3- 5- -2  2  2  6  8
Curve Equation t 600h1 [0,1,0,792,-6912] 2 600h2 [0,1,0,-4208,-66912] 2
600i (1 curve)	0	2- 3- 5-	2- 3- 5-  3  2 -3  6 -7
Curve Equation t 600i1 [0,1,0,167,-37] 1

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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