Cremona's table of elliptic curves

13725 = 3² · 5² · 61

Class	r	Atkin-Lehner	Eigenvalues
13725a (2 curves)	1	3+ 5+ 61+	1 3+ 5+  2  4  2  2 -4
Curve Equation t Generators 13725a1 [1,-1,0,633,-2584] 2 [63224:832812:343] 13725a2 [1,-1,0,-2742,-19459] 2 [740:19699:1]
13725b (2 curves)	1	3+ 5+ 61+	-1 3+ 5+  2 -4  2 -2 -4
Curve Equation t Generators 13725b1 [1,-1,1,70,72] 2 [0:8:1] 13725b2 [1,-1,1,-305,822] 2 [-16:45:1]
13725c (1 curve)	0	3- 5+ 61+	-1 3- 5+ -1  5 -1  4 -4
Curve Equation t 13725c1 [1,-1,1,-455,-3828] 1
13725d (2 curves)	0	3- 5+ 61+	-1 3- 5+  2  2  2 -2 -4
Curve Equation t 13725d1 [1,-1,1,11245,-349878] 2 13725d2 [1,-1,1,-57380,-3094878] 2
13725e (1 curve)	0	3- 5+ 61+	2 3- 5+ -1 -4 -4  4 -1
Curve Equation t 13725e1 [0,0,1,-1425,76531] 1
13725f (1 curve)	0	3- 5+ 61+	2 3- 5+ -3  4 -4  8  7
Curve Equation t 13725f1 [0,0,1,-103575,39589281] 1
13725g (4 curves)	1	3- 5+ 61-	1 3- 5+  0  0  2 -2 -4
Curve Equation t Generators 13725g1 [1,-1,0,-12942,-563409] 2 [4732926:-250159:35937] 13725g2 [1,-1,0,-14067,-458784] 4 [9120:151112:27] 13725g3 [1,-1,0,-82692,8805591] 2 [-1458:34479:8] 13725g4 [1,-1,0,36558,-3040659] 2 [1308:47109:1]
13725h (1 curve)	1	3- 5- 61+	0 3- 5-  1  4  4  2 -5
Curve Equation t Generators 13725h1 [0,0,1,44610,11020131] 1 [26915:1328431:343]
13725i (1 curve)	1	3- 5- 61+	0 3- 5- -1  4 -4 -2 -5
Curve Equation t Generators 13725i1 [0,0,1,1115250,1377516406] 1 [-269150:1503391:343]
13725j (1 curve)	1	3- 5- 61+	0 3- 5-  3 -4  4 -2  3
Curve Equation t Generators 13725j1 [0,0,1,1500,10156] 1 [50:1121:8]
13725k (1 curve)	1	3- 5- 61+	0 3- 5- -3 -4 -4  2  3
Curve Equation t Generators 13725k1 [0,0,1,60,81] 1 [5:22:1]
13725l (2 curves)	1	3- 5- 61+	1 3- 5- -4  0 -4  6 -4
Curve Equation t Generators 13725l1 [1,-1,0,-72,-189] 2 [10:-1:1] 13725l2 [1,-1,0,-297,1836] 2 [24:78:1]
13725m (2 curves)	1	3- 5- 61+	-1 3- 5-  4  0  4 -6 -4
Curve Equation t Generators 13725m1 [1,-1,1,-1805,-25428] 2 [90:686:1] 13725m2 [1,-1,1,-7430,222072] 2 [78:296:1]

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