Cremona's table of elliptic curves

17690 = 2 · 5 · 29 · 61

Class	r	Atkin-Lehner	Eigenvalues
17690a (2 curves)	1	2+ 5+ 29+ 61+	2+  2 5+  2  0  2  6  2
Curve Equation t Generators 17690a1 [1,1,0,-23028,-1354672] 2 [120548568:-13813524628:9261] 17690a2 [1,1,0,-22948,-1364448] 2 [60396:74376:343]
17690b (2 curves)	1	2+ 5+ 29+ 61+	2+ -2 5+  2  4 -2 -6 -8
Curve Equation t Generators 17690b1 [1,0,1,-64,-114] 2 [-2:3:1] 17690b2 [1,0,1,-464,3726] 2 [21:47:1]
17690c (1 curve)	1	2+ 5+ 29- 61-	2+  0 5+  3 -2  1  0 -5
Curve Equation t Generators 17690c1 [1,-1,0,-15800,444736] 1 [-3:703:1]
17690d (1 curve)	1	2+ 5- 29- 61+	2+  0 5-  1  2  7  0  1
Curve Equation t Generators 17690d1 [1,-1,0,-1949,-32635] 1 [-33715:16915:1331]
17690e (2 curves)	0	2+ 5- 29- 61-	2+  2 5-  4 -2  6  2  0
Curve Equation t 17690e1 [1,1,0,-5002,131796] 2 17690e2 [1,1,0,118,394964] 2
17690f (1 curve)	1	2- 5+ 29+ 61-	2-  0 5+  1 -2  5  0 -5
Curve Equation t Generators 17690f1 [1,-1,1,-148,727] 1 [7:-3:1]
17690g (4 curves)	0	2- 5+ 29- 61-	2- -2 5+  2  0  2 -6  2
Curve Equation t 17690g1 [1,0,0,-30461,2041585] 6 17690g2 [1,0,0,-22461,3140785] 6 17690g3 [1,0,0,-116301,-13182719] 2 17690g4 [1,0,0,196199,-71745219] 2
17690h (1 curve)	0	2- 5- 29- 61+	2-  2 5-  3  6 -1  0  7
Curve Equation t 17690h1 [1,1,1,-245,-1343] 1

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