Cremona's table of elliptic curves

3825 = 3² · 5² · 17

Class	r	Atkin-Lehner	Eigenvalues
3825a (2 curves)	1	3+ 5+ 17+	-1 3+ 5+ -4  2 -2 17+  0
Curve Equation t Generators 3825a1 [1,-1,1,-3755,95122] 2 [14:205:1] 3825a2 [1,-1,1,-61130,5832622] 2 [109:620:1]
3825b (1 curve)	1	3+ 5+ 17+	-2 3+ 5+  2  3  5 17+ -1
Curve Equation t Generators 3825b1 [0,0,1,-675,-7594] 1 [36:121:1]
3825c (2 curves)	0	3+ 5+ 17-	1 3+ 5+ -4 -2 -2 17-  0
Curve Equation t 3825c1 [1,-1,0,-417,-3384] 2 3825c2 [1,-1,0,-6792,-213759] 2
3825d (1 curve)	0	3+ 5+ 17-	2 3+ 5+  2 -3  5 17- -1
Curve Equation t 3825d1 [0,0,1,-75,281] 1
3825e (2 curves)	0	3- 5+ 17+	0 3- 5+  4  3  1 17+ -1
Curve Equation t 3825e1 [0,0,1,150,3406] 1 3825e2 [0,0,1,-13350,594031] 1
3825f (1 curve)	1	3- 5+ 17-	0 3- 5+  1 -2 -1 17- -1
Curve Equation t Generators 3825f1 [0,0,1,3750,-80469] 1 [29:229:1]
3825g (1 curve)	1	3- 5+ 17-	1 3- 5+ -1  4  1 17- -6
Curve Equation t Generators 3825g1 [1,-1,0,-27,-54] 1 [58:408:1]
3825h (2 curves)	1	3- 5+ 17-	1 3- 5+  2 -2 -2 17-  0
Curve Equation t Generators 3825h1 [1,-1,0,-1917,32616] 2 [124:1238:1] 3825h2 [1,-1,0,-792,69741] 2 [-36:243:1]
3825i (4 curves)	1	3- 5+ 17-	-1 3- 5+ -4  0  2 17- -4
Curve Equation t Generators 3825i1 [1,-1,1,-155,-278] 2 [-2:5:1] 3825i2 [1,-1,1,-1280,17722] 4 [4:110:1] 3825i3 [1,-1,1,-20405,1126972] 2 [85:-7:1] 3825i4 [1,-1,1,-155,46972] 2 [-16:220:1]
3825j (1 curve)	1	3- 5+ 17-	-2 3- 5+ -1 -2  7 17-  3
Curve Equation t Generators 3825j1 [0,0,1,-975,15246] 1 [11:76:1]
3825k (1 curve)	1	3- 5- 17+	0 3- 5- -1 -2  1 17+ -1
Curve Equation t Generators 3825k1 [0,0,1,150,-644] 1 [16:76:1]
3825l (1 curve)	1	3- 5- 17+	-1 3- 5-  1  4 -1 17+ -6
Curve Equation t Generators 3825l1 [1,-1,1,-680,-7428] 1 [168:2060:1]
3825m (2 curves)	1	3- 5- 17+	-1 3- 5- -4 -6  4 17+  4
Curve Equation t Generators 3825m1 [1,-1,1,-680,481322] 2 [-30:703:1] 3825m2 [1,-1,1,-96305,11382572] 2 [69:2215:1]
3825n (1 curve)	1	3- 5- 17+	2 3- 5-  1 -2 -7 17+  3
Curve Equation t Generators 3825n1 [0,0,1,-24375,1905781] 1 [338:7799:8]
3825o (2 curves)	0	3- 5- 17-	1 3- 5-  4 -6 -4 17-  4
Curve Equation t 3825o1 [1,-1,0,-27,3856] 2 3825o2 [1,-1,0,-3852,91831] 2

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