Cremona's table of elliptic curves

1225 = 5² · 7²

Class	r	Atkin-Lehner	Eigenvalues
1225a (3 curves)	0	5+ 7-	0  1 5+ 7- -3  5  3 -2
Curve Equation t 1225a1 [0,1,1,-1633,-28731] 1 1225a2 [0,1,1,10617,75394] 1 1225a3 [0,1,1,-160883,25929019] 1
1225b (4 curves)	0	5+ 7-	-1  0 5+ 7-  4  0  0  0
Curve Equation t 1225b1 [1,-1,1,-55,-178] 2 1225b2 [1,-1,1,-930,-10678] 2 1225b3 [1,-1,1,-2680,66322] 2 1225b4 [1,-1,1,-45555,3753572] 2
1225c (1 curve)	0	5+ 7-	2  3 5+ 7-  1  3 -3 -6
Curve Equation t 1225c1 [0,0,1,-175,1531] 1
1225d (1 curve)	0	5+ 7-	2 -3 5+ 7-  1 -3  3  6
Curve Equation t 1225d1 [0,0,1,-8575,-525219] 1
1225e (2 curves)	0	5- 7+	1 -1 5- 7+  0  2  2  6
Curve Equation t 1225e1 [1,1,0,-9825,-412250] 1 1225e2 [1,1,0,-254901700,1566310159625] 1
1225f (2 curves)	0	5- 7+	-1  1 5- 7+  0 -2 -2  6
Curve Equation t 1225f1 [1,0,0,-393,-3298] 1 1225f2 [1,0,0,-10196068,12530481277] 1
1225g (2 curves)	1	5- 7-	1  1 5- 7-  0 -2 -2 -6
Curve Equation t Generators 1225g1 [1,0,1,-201,1173] 1 [27:111:1] 1225g2 [1,0,1,-5202076,-4567245077] 1 [4895271887153145073967:1693402407380764960626706:40775428183359871]
1225h (2 curves)	1	5- 7-	-1 -1 5- 7-  0  2  2 -6
Curve Equation t Generators 1225h1 [1,1,1,-8,6] 1 [0:2:1] 1225h2 [1,1,1,-208083,-36621194] 1 [1190:36857:1]
1225i (2 curves)	1	5- 7-	2 -1 5- 7- -3 -1 -7  0
Curve Equation t Generators 1225i1 [0,-1,1,2042,48943] 1 [586:6121:8] 1225i2 [0,-1,1,-181708,-29902307] 1 [818186:261653871:8]
1225j (2 curves)	1	5- 7-	-2  1 5- 7- -3  1  7  0
Curve Equation t Generators 1225j1 [0,1,1,82,424] 1 [23:122:1] 1225j2 [0,1,1,-7268,-242126] 1 [338:6002:1]

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