Cremona's table of elliptic curves

25857 = 3² · 13² · 17

Class	r	Atkin-Lehner	Eigenvalues
25857a (1 curve)	1	3+ 13+ 17+	2 3+  1  2  3 13+ 17+  1
Curve Equation t Generators 25857a1 [0,0,1,-507,4943] 1 [-174:599:8]
25857b (1 curve)	0	3+ 13+ 17-	-2 3+ -1  2 -3 13+ 17-  1
Curve Equation t 25857b1 [0,0,1,-4563,-133468] 1
25857c (1 curve)	0	3- 13+ 17+	1 3- -1 -2  3 13+ 17+ -4
Curve Equation t 25857c1 [1,-1,0,1279890,2933579299] 1
25857d (2 curves)	0	3- 13+ 17+	1 3-  2 -2 -6 13+ 17+ -4
Curve Equation t 25857d1 [1,-1,0,-90531,-10460696] 2 25857d2 [1,-1,0,-82926,-12296543] 2
25857e (2 curves)	0	3- 13+ 17+	1 3- -4 -2  6 13+ 17+ -4
Curve Equation t 25857e1 [1,-1,0,-399294,97127239] 2 25857e2 [1,-1,0,-498159,45420844] 2
25857f (2 curves)	0	3- 13+ 17+	-1 3-  0  2 -2 13+ 17+  0
Curve Equation t 25857f1 [1,-1,1,-50225,4120328] 2 25857f2 [1,-1,1,-149090,-16997236] 2
25857g (1 curve)	0	3- 13+ 17+	-1 3-  1  2 -3 13+ 17+  4
Curve Equation t 25857g1 [1,-1,1,7573,1333518] 1
25857h (6 curves)	0	3- 13+ 17+	-1 3- -2  0  4 13+ 17+  4
Curve Equation t 25857h1 [1,-1,1,-819851,-285520998] 2 25857h2 [1,-1,1,-827456,-279948054] 4 25857h3 [1,-1,1,336109,-1005547188] 2 25857h4 [1,-1,1,-2112701,802228236] 4 25857h5 [1,-1,1,5895364,5427686580] 2 25857h6 [1,-1,1,-30684686,65420629512] 2
25857i (4 curves)	2	3- 13+ 17+	-1 3- -2 -4  0 13+ 17+  4
Curve Equation t Generators 25857i1 [1,-1,1,-1046,-5300] 2 [-20:95:1]&[-16:92:1] 25857i2 [1,-1,1,-8651,308026] 4 [-68:794:1]&[-32:758:1] 25857i3 [1,-1,1,-1046,825166] 2 [-68:794:1]&[-55:872:1] 25857i4 [1,-1,1,-137936,19752490] 2 [218:-194:1]&[1790:955:8]
25857j (2 curves)	0	3- 13+ 17+	-1 3-  4  2  6 13+ 17+ -8
Curve Equation t 25857j1 [1,-1,1,-1114418,-451797056] 2 25857j2 [1,-1,1,-17822603,-28955960666] 2
25857k (1 curve)	0	3- 13+ 17+	2 3- -2 -4 -3 13+ 17+  7
Curve Equation t 25857k1 [0,0,1,-6591,-821129] 1
25857l (1 curve)	0	3- 13+ 17+	2 3- -3  2  4 13+ 17+ -3
Curve Equation t 25857l1 [0,0,1,-39,-153] 1
25857m (1 curve)	0	3- 13+ 17+	2 3-  4  3  4 13+ 17+  4
Curve Equation t 25857m1 [0,0,1,-85683,17172301] 1
25857n (1 curve)	0	3- 13+ 17+	-2 3-  2  4  3 13+ 17+ -7
Curve Equation t 25857n1 [0,0,1,-39,-374] 1
25857o (1 curve)	0	3- 13+ 17+	-2 3-  3 -2 -4 13+ 17+  3
Curve Equation t 25857o1 [0,0,1,-6591,-335592] 1
25857p (1 curve)	2	3- 13+ 17+	-2 3- -4 -3 -4 13+ 17+ -4
Curve Equation t Generators 25857p1 [0,0,1,-507,7816] 1 [13:-59:1]&[-206:489:8]
25857q (2 curves)	1	3- 13+ 17-	0 3-  3  4 -3 13+ 17-  1
Curve Equation t Generators 25857q1 [0,0,1,1014,59868] 1 [38:391:1] 25857q2 [0,0,1,-90246,10440693] 1 [173:-77:1]
25857r (2 curves)	1	3- 13- 17+	1 3-  0 -4 -2 13- 17+ -2
Curve Equation t Generators 25857r1 [1,-1,0,14418,680967] 2 [1254:43977:1] 25857r2 [1,-1,0,-84447,6553548] 2 [72:882:1]
25857s (2 curves)	1	3- 13- 17+	-1 3-  0  4  2 13- 17+  2
Curve Equation t Generators 25857s1 [1,-1,1,85,290] 2 [6:28:1] 25857s2 [1,-1,1,-500,3098] 2 [-6:79:1]

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