Cremona's table of elliptic curves

25568 = 2⁵ · 17 · 47

Class	r	Atkin-Lehner	Eigenvalues
25568a (2 curves)	0	2+ 17- 47+	2+  2 -2  2  2 -6 17- -4
Curve Equation t 25568a1 [0,-1,0,-5814,161840] 2 25568a2 [0,-1,0,5231,694209] 2
25568b (2 curves)	1	2+ 17- 47-	2+ -2 -2 -2 -2 -6 17-  4
Curve Equation t Generators 25568b1 [0,1,0,-5814,-161840] 2 [153:-1598:1] 25568b2 [0,1,0,5231,-694209] 2 [341:6392:1]
25568c (2 curves)	0	2- 17+ 47+	2- -2  0  0 -6  2 17+  0
Curve Equation t 25568c1 [0,1,0,-1478,-22088] 2 25568c2 [0,1,0,-23568,-1400504] 2
25568d (2 curves)	1	2- 17+ 47-	2-  2  0  0  6  2 17+  0
Curve Equation t Generators 25568d1 [0,-1,0,-1478,22088] 2 [379:7332:1] 25568d2 [0,-1,0,-23568,1400504] 2 [10515:193076:27]
25568e (2 curves)	1	2- 17- 47+	2-  2  0  2  4 -2 17- -4
Curve Equation t Generators 25568e1 [0,-1,0,-38,-40] 2 [228:352:27] 25568e2 [0,-1,0,-273,1793] 2 [29:132:1]
25568f (2 curves)	2	2- 17- 47-	2- -2  0 -2 -4 -2 17-  4
Curve Equation t Generators 25568f1 [0,1,0,-38,40] 2 [-4:12:1]&[1:2:1] 25568f2 [0,1,0,-273,-1793] 2 [-9:4:1]&[39:220:1]

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