Cremona's table of elliptic curves

6525 = 3² · 5² · 29

Class	r	Atkin-Lehner	Eigenvalues
6525a (1 curve)	1	3+ 5+ 29+	-2 3+ 5+  2 -3  4  2 -2
Curve Equation t Generators 6525a1 [0,0,1,675,-7594] 1 [45:337:1]
6525b (1 curve)	0	3+ 5+ 29-	2 3+ 5+  2  3  4 -2 -2
Curve Equation t 6525b1 [0,0,1,75,281] 1
6525c (1 curve)	0	3- 5+ 29+	0 3- 5+ -1  2  3  4  1
Curve Equation t 6525c1 [0,0,1,-1380,-21609] 1
6525d (1 curve)	0	3- 5+ 29+	0 3- 5+  2 -1 -6  4 -2
Curve Equation t 6525d1 [0,0,1,17700,3700656] 1
6525e (4 curves)	0	3- 5+ 29+	1 3- 5+ -4  4 -6  6 -4
Curve Equation t 6525e1 [1,-1,0,-6192,-185909] 2 6525e2 [1,-1,0,-7317,-112784] 4 6525e3 [1,-1,0,-57942,5304091] 2 6525e4 [1,-1,0,25308,-863159] 2
6525f (4 curves)	0	3- 5+ 29+	-1 3- 5+  4  0 -6  2  8
Curve Equation t 6525f1 [1,-1,1,-6755,145122] 2 6525f2 [1,-1,1,-97880,11809122] 4 6525f3 [1,-1,1,-1566005,754680372] 2 6525f4 [1,-1,1,-87755,14340372] 2
6525g (2 curves)	1	3- 5+ 29-	0 3- 5+ -2 -3 -2  0  2
Curve Equation t Generators 6525g1 [0,0,1,-2550,-50594] 1 [70:337:1] 6525g2 [0,0,1,10950,-215969] 1 [205:3262:1]
6525h (2 curves)	1	3- 5+ 29-	-1 3- 5+  2  6 -2 -2 -2
Curve Equation t Generators 6525h1 [1,-1,1,-605,-5228] 2 [-16:20:1] 6525h2 [1,-1,1,520,-23228] 2 [29:110:1]
6525i (1 curve)	1	3- 5- 29+	0 3- 5-  1  2 -3 -4  1
Curve Equation t Generators 6525i1 [0,0,1,-34500,-2701094] 1 [1156:38758:1]
6525j (2 curves)	1	3- 5- 29+	1 3- 5-  2  0 -4  2  0
Curve Equation t Generators 6525j1 [1,-1,0,-162,-329] 2 [-6:23:1] 6525j2 [1,-1,0,-2187,-38804] 2 [-210:107:8]
6525k (2 curves)	1	3- 5- 29+	-1 3- 5- -2  0  4 -2  0
Curve Equation t Generators 6525k1 [1,-1,1,-4055,-45178] 2 [-56:90:1] 6525k2 [1,-1,1,-54680,-4905178] 2 [-137:90:1]
6525l (2 curves)	1	3- 5- 29+	2 3- 5- -2  3  4 -8  0
Curve Equation t Generators 6525l1 [0,0,1,-6285,191781] 1 [370:41:8] 6525l2 [0,0,1,10365,941481] 1 [1330:21551:8]
6525m (2 curves)	1	3- 5- 29+	-2 3- 5-  2  3 -4  8  0
Curve Equation t Generators 6525m1 [0,0,1,-157125,23972656] 1 [250:562:1] 6525m2 [0,0,1,259125,117685156] 1 [-275:5062:1]

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