Cremona's table of elliptic curves

17225 = 5² · 13 · 53

Class	r	Atkin-Lehner	Eigenvalues
17225a (2 curves)	1	5+ 13+ 53+	0  2 5+  1 -3 13+  3  2
Curve Equation t Generators 17225a1 [0,-1,1,-17083,417818] 1 [288:4393:1] 17225a2 [0,-1,1,-679583,-215391557] 1 [3512295193:139787934091:1771561]
17225b (1 curve)	2	5+ 13+ 53-	0  0 5+ -1 -5 13+  3  0
Curve Equation t Generators 17225b1 [0,0,1,-4580,119301] 1 [39:0:1]&[189:2450:1]
17225c (1 curve)	0	5+ 13- 53+	1  2 5+  2  1 13-  0  0
Curve Equation t 17225c1 [1,1,0,-1000,14625] 1
17225d (1 curve)	0	5+ 13- 53+	2  0 5+ -1  3 13-  3 -2
Curve Equation t 17225d1 [0,0,1,-575,-5299] 1
17225e (2 curves)	1	5+ 13- 53-	1  2 5+ -2  2 13-  2  4
Curve Equation t Generators 17225e1 [1,1,0,-350,2375] 2 [62:83:8] 17225e2 [1,1,0,-225,4250] 2 [-10:80:1]
17225f (2 curves)	1	5+ 13- 53-	-1  2 5+  2  2 13- -6  0
Curve Equation t Generators 17225f1 [1,1,1,-8963,-330344] 2 [1256745:8513597:9261] 17225f2 [1,1,1,-8838,-339844] 2 [12675:262624:27]
17225g (1 curve)	1	5+ 13- 53-	2  2 5+ -1 -1 13-  3 -6
Curve Equation t Generators 17225g1 [0,-1,1,-1378,20153] 1 [234:503:8]
17225h (1 curve)	2	5- 13+ 53+	-2 -2 5-  1 -1 13+ -3 -6
Curve Equation t Generators 17225h1 [0,1,1,-34458,2450244] 1 [-67:2112:1]&[102:84:1]
17225i (1 curve)	1	5- 13+ 53-	-2  0 5-  1  3 13+ -3 -2
Curve Equation t Generators 17225i1 [0,0,1,-14375,-662344] 1 [200:2112:1]
17225j (1 curve)	1	5- 13- 53+	0  0 5-  1 -5 13- -3  0
Curve Equation t Generators 17225j1 [0,0,1,-114500,14912656] 1 [100:2112:1]
17225k (2 curves)	2	5- 13- 53-	0 -2 5- -1 -3 13- -3  2
Curve Equation t Generators 17225k1 [0,1,1,-683,3069] 3 [-23:84:1]&[3:32:1] 17225k2 [0,1,1,-27183,-1734006] 1 [-96:6:1]&[294:3971:1]

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