Cremona's table of elliptic curves

170 = 2 · 5 · 17

Class	r	Atkin-Lehner	Eigenvalues
170b (4 curves)	0	2+ 5+ 17-	2+ -2 5+  2  6  2 17-  8
Curve Equation t 170b1 [1,0,1,-2554,49452] 6 170b2 [1,0,1,-2474,52716] 6 170b3 [1,0,1,-4169,-20724] 2 170b4 [1,0,1,16311,-159988] 2
170e (1 curve)	0	2+ 5+ 17-	2+  3 5+  2 -4 -3 17-  3
Curve Equation t 170e1 [1,-1,0,-10,-10] 1
170d (2 curves)	0	2+ 5- 17+	2+  1 5-  2  0  5 17+ -1
Curve Equation t 170d1 [1,0,1,-3,6] 3 170d2 [1,0,1,22,-164] 1
170a (2 curves)	1	2+ 5- 17-	2+ -2 5- -2 -2 -6 17- -8
Curve Equation t Generators 170a1 [1,0,1,-8,6] 2 [0:2:1] 170a2 [1,0,1,12,38] 2 [-1:5:1]
170c (2 curves)	0	2- 5+ 17+	2-  1 5+  2  0 -1 17+ -1
Curve Equation t 170c1 [1,0,0,399,-919] 3 170c2 [1,0,0,-6641,-215575] 1

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

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