Cremona's table of elliptic curves

5565 = 3 · 5 · 7 · 53

Class	r	Atkin-Lehner	Eigenvalues
5565a (4 curves)	1	3+ 5+ 7+ 53+	1 3+ 5+ 7+  0 -2  2  8
Curve Equation t Generators 5565a1 [1,1,0,-1428,-1197] 2 [-18488:45137:512] 5565a2 [1,1,0,-15473,731952] 4 [5792:437852:1] 5565a3 [1,1,0,-247348,47246077] 2 [371188:27985153:64] 5565a4 [1,1,0,-8318,1420263] 2 [46334:3502971:8]
5565b (1 curve)	1	3+ 5+ 7+ 53+	-2 3+ 5+ 7+  2  4  1  4
Curve Equation t Generators 5565b1 [0,-1,1,104,192] 1 [30:171:1]
5565c (6 curves)	0	3+ 5- 7- 53-	-1 3+ 5- 7-  4 -2 -6 -4
Curve Equation t 5565c1 [1,1,1,1270,-31450] 4 5565c2 [1,1,1,-10735,-362788] 8 5565c3 [1,1,1,-163860,-25597788] 4 5565c4 [1,1,1,-49690,3906680] 4 5565c5 [1,1,1,-2621735,-1635014338] 2 5565c6 [1,1,1,-155985,-28158738] 2
5565d (8 curves)	0	3+ 5- 7- 53-	-1 3+ 5- 7- -4 -2  2 -4
Curve Equation t 5565d1 [1,1,1,-119300,15810500] 4 5565d2 [1,1,1,-119305,15809102] 8 5565d3 [1,1,1,-131310,12418890] 8 5565d4 [1,1,1,-107380,19109942] 4 5565d5 [1,1,1,-819515,-276351928] 4 5565d6 [1,1,1,364815,84456240] 4 5565d7 [1,1,1,-12990170,-18026035180] 2 5565d8 [1,1,1,339860,-994236928] 2
5565e (1 curve)	0	3+ 5- 7- 53-	2 3+ 5- 7- -2  4  3 -4
Curve Equation t 5565e1 [0,-1,1,-110,551] 1
5565f (4 curves)	0	3- 5- 7+ 53-	-1 3- 5- 7+  0  6  6  4
Curve Equation t 5565f1 [1,0,0,-580,-5425] 2 5565f2 [1,0,0,-585,-5328] 4 5565f3 [1,0,0,-1460,14097] 4 5565f4 [1,0,0,210,-18525] 2
5565g (2 curves)	0	3- 5- 7- 53+	-1 3- 5- 7- -6  2  0  8
Curve Equation t 5565g1 [1,0,0,-1455,-21648] 2 5565g2 [1,0,0,-23330,-1373523] 2

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