Cremona's table of elliptic curves

12325 = 5² · 17 · 29

Class	r	Atkin-Lehner	Eigenvalues
12325a (1 curve)	1	5+ 17+ 29+	1  0 5+  5  0 -7 17+  5
Curve Equation t Generators 12325a1 [1,-1,0,-193517,100016766] 1 [66427174:2971275738:357911]
12325b (1 curve)	1	5+ 17+ 29+	1 -1 5+  0 -1  3 17+ -2
Curve Equation t Generators 12325b1 [1,1,0,-5950,-179125] 1 [-97838:55121:2197]
12325c (2 curves)	1	5+ 17+ 29+	1  2 5+  0 -4  6 17+ -2
Curve Equation t Generators 12325c1 [1,1,0,-1275,17000] 2 [-290:1195:8] 12325c2 [1,1,0,-1150,20625] 2 [24:75:1]
12325d (1 curve)	0	5+ 17+ 29-	1  3 5+  2  3 -1 17+ -4
Curve Equation t 12325d1 [1,-1,0,-1417,26366] 1
12325e (1 curve)	0	5+ 17- 29+	-1  0 5+  0  0 -3 17- -5
Curve Equation t 12325e1 [1,-1,1,-430,-4678] 1
12325f (1 curve)	1	5+ 17- 29-	-1  2 5+  3 -2  6 17-  1
Curve Equation t Generators 12325f1 [1,1,1,-13,-3344] 1 [5628:78644:27]
12325g (1 curve)	0	5- 17+ 29+	1  0 5-  0  0  3 17+ -5
Curve Equation t 12325g1 [1,-1,0,-17,-34] 1
12325h (1 curve)	1	5- 17+ 29-	1 -2 5- -3 -2 -6 17+  1
Curve Equation t Generators 12325h1 [1,0,1,-1,-27] 1 [3:-1:1]
12325i (1 curve)	1	5- 17- 29+	-1  1 5-  0 -1 -3 17- -2
Curve Equation t Generators 12325i1 [1,0,0,-238,-1433] 1 [-9:5:1]

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