Cremona's table of elliptic curves

1725 = 3 · 5² · 23

Class	r	Atkin-Lehner	Eigenvalues
1725a (1 curve)	1	3+ 5+ 23+	0 3+ 5+  3 -4  0  3 -8
Curve Equation t Generators 1725a1 [0,-1,1,-33,218] 1 [12:37:1]
1725b (1 curve)	1	3+ 5+ 23+	0 3+ 5+ -3  2  3  0  1
Curve Equation t Generators 1725b1 [0,-1,1,-113,-427] 1 [13:11:1]
1725c (2 curves)	0	3+ 5+ 23-	0 3+ 5+  1 -6 -5  0  5
Curve Equation t 1725c1 [0,-1,1,11667,7193] 1 1725c2 [0,-1,1,-157083,-25727182] 1
1725d (4 curves)	0	3+ 5+ 23-	1 3+ 5+ -4 -4  2 -6  8
Curve Equation t 1725d1 [1,1,0,225,0] 2 1725d2 [1,1,0,-900,-1125] 4 1725d3 [1,1,0,-10275,-404250] 2 1725d4 [1,1,0,-9525,352500] 2
1725e (1 curve)	0	3+ 5+ 23-	1 3+ 5+  5  5 -1  0 -7
Curve Equation t 1725e1 [1,1,0,-830,4905] 1
1725f (2 curves)	0	3+ 5+ 23-	-1 3+ 5+  2  4  6 -4  2
Curve Equation t 1725f1 [1,1,1,-13,-94] 2 1725f2 [1,1,1,-388,-3094] 2
1725g (4 curves)	0	3+ 5+ 23-	-1 3+ 5+ -4  4 -6  2 -4
Curve Equation t 1725g1 [1,1,1,11412,300156] 4 1725g2 [1,1,1,-54713,2548406] 4 1725g3 [1,1,1,-414088,-100951594] 2 1725g4 [1,1,1,-753338,251258906] 2
1725h (1 curve)	0	3+ 5+ 23-	2 3+ 5+  5 -2  6 -1  2
Curve Equation t 1725h1 [0,-1,1,-2508,55793] 1
1725i (2 curves)	0	3+ 5- 23+	-1 3+ 5- -2  0 -4 -2 -4
Curve Equation t 1725i1 [1,1,1,-888,-13344] 2 1725i2 [1,1,1,-15263,-732094] 2
1725j (1 curve)	0	3+ 5- 23+	-1 3+ 5-  3  5  1  8  1
Curve Equation t 1725j1 [1,1,1,-381513,90541656] 1
1725k (2 curves)	1	3+ 5- 23-	1 3+ 5-  0  0  4  0 -2
Curve Equation t Generators 1725k1 [1,1,0,-5,0] 2 [4:6:1] 1725k2 [1,1,0,20,25] 2 [0:5:1]
1725l (1 curve)	1	3+ 5- 23-	-1 3+ 5- -3 -1  1 -4  7
Curve Equation t Generators 1725l1 [1,1,1,-763,7706] 1 [-4:105:1]
1725m (1 curve)	0	3- 5+ 23+	0 3- 5+ -1  4  0 -5  0
Curve Equation t 1725m1 [0,1,1,-18283,-957656] 1
1725n (1 curve)	0	3- 5+ 23+	1 3- 5+  3 -1 -1  4  7
Curve Equation t 1725n1 [1,0,1,-19076,1001423] 1
1725o (1 curve)	1	3- 5+ 23-	1 3- 5+ -3  5 -1 -8  1
Curve Equation t Generators 1725o1 [1,0,1,-15261,724333] 1 [23:609:1]
1725p (1 curve)	1	3- 5+ 23-	-2 3- 5+ -3  2  2 -5 -2
Curve Equation t Generators 1725p1 [0,1,1,742,-10606] 1 [88:-863:1]
1725q (2 curves)	1	3- 5- 23+	0 3- 5- -1 -6  5  0  5
Curve Equation t Generators 1725q1 [0,1,1,467,244] 3 [2:34:1] 1725q2 [0,1,1,-6283,-208331] 1 [2266:36497:8]
1725r (2 curves)	1	3- 5- 23+	-1 3- 5-  0  0 -4  0 -2
Curve Equation t Generators 1725r1 [1,0,0,-138,267] 2 [11:5:1] 1725r2 [1,0,0,487,2142] 2 [13:97:1]
1725s (1 curve)	1	3- 5- 23+	-1 3- 5- -5  5  1  0 -7
Curve Equation t Generators 1725s1 [1,0,0,-20763,654642] 1 [27:-351:1]
1725t (1 curve)	0	3- 5- 23-	0 3- 5-  3  2 -3  0  1
Curve Equation t 1725t1 [0,1,1,-2833,-59006] 1
1725u (2 curves)	0	3- 5- 23-	1 3- 5-  2  0  4  2 -4
Curve Equation t 1725u1 [1,0,1,-36,-107] 2 1725u2 [1,0,1,-611,-5857] 2

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