Cremona's table of elliptic curves

47753 = 17 · 53²

Class	r	Atkin-Lehner	Eigenvalues
47753a (2 curves)	1	17+ 53+	1  0  0  2 -6  6 17+ -4
Curve Equation t Generators 47753a1 [1,-1,0,-237887,-35805928] 2 [-76757463412950524:-177666163585682982:206309829721969] 47753a2 [1,-1,0,506498,-215500467] 2 [44819360952095027737464929064885396:-617687643875203504170835265487024567:120433125818318785934709143325248]
47753b (2 curves)	1	17+ 53+	1 -2  0 -4  0  2 17+  0
Curve Equation t Generators 47753b1 [1,0,1,-83140841,291782267895] 2 [112612241144742:-84605420764055:21438614952] 47753b2 [1,0,1,-83885226,286291088627] 2 [-2051488575106568034:-388509075635353162691:522866380064328]
47753c (1 curve)	0	17+ 53-	1  0  3 -5  4 -1 17+  1
Curve Equation t 47753c1 [1,-1,0,-23,-82] 1
47753d (1 curve)	0	17+ 53-	-1  0 -3 -5  4 -1 17+ -1
Curve Equation t 47753d1 [1,-1,1,-65134,-13052326] 1
47753e (2 curves)	0	17- 53+	0 -1  3 -4  6  5 17-  4
Curve Equation t 47753e1 [0,-1,1,-48689,1950252] 1 47753e2 [0,-1,1,-1958809,-1054489367] 1
47753f (4 curves)	0	17- 53+	1  0  2  4  0 -2 17-  4
Curve Equation t 47753f1 [1,-1,0,-1931,14440] 2 47753f2 [1,-1,0,-15976,-763653] 4 47753f3 [1,-1,0,-1931,-2069838] 2 47753f4 [1,-1,0,-254741,-49423960] 2
47753g (1 curve)	0	17- 53+	1  0 -3 -1  0  3 17- -1
Curve Equation t 47753g1 [1,-1,0,-971036,-10273484519] 1
47753h (1 curve)	0	17- 53+	2  1 -3  2  0 -7 17-  0
Curve Equation t 47753h1 [0,1,1,-12172,-474123] 1
47753i (1 curve)	0	17- 53+	-2  3 -1 -2  0  1 17-  4
Curve Equation t 47753i1 [0,0,1,-4233163,626660512] 1
47753j (1 curve)	1	17- 53-	0  1  1 -2  2  1 17-  2
Curve Equation t Generators 47753j1 [0,1,1,-35,-38] 1 [-38:49:8]
47753k (1 curve)	1	17- 53-	0 -1 -1 -2  2  1 17- -2
Curve Equation t Generators 47753k1 [0,-1,1,-99251,-3839097] 1 [-121390:2530409:1000]

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