Cremona's table of elliptic curves

39975 = 3 · 5² · 13 · 41

Class	r	Atkin-Lehner	Eigenvalues
39975a (2 curves)	1	3+ 5+ 13+ 41+	0 3+ 5+ -5  3 13+ -6 -7
Curve Equation t Generators 39975a1 [0,-1,1,-269103,53802128] 1 [-402:9841:1] 39975a2 [0,-1,1,-779403,-198005407] 1 [-537:8086:1]
39975b (1 curve)	0	3+ 5+ 13+ 41-	0 3+ 5+  2  4 13+  7  0
Curve Equation t 39975b1 [0,-1,1,-2083,75318] 1
39975c (2 curves)	0	3+ 5+ 13+ 41-	1 3+ 5+  4  4 13+  2  6
Curve Equation t 39975c1 [1,1,0,70461350,-131865160625] 2 39975c2 [1,1,0,-329929275,-1135644457500] 2
39975d (1 curve)	0	3+ 5+ 13- 41+	1 3+ 5+ -2  5 13-  1 -6
Curve Equation t 39975d1 [1,1,0,-5958450,5595820875] 1
39975e (1 curve)	0	3+ 5+ 13- 41+	-2 3+ 5+  4 -1 13- -5  0
Curve Equation t 39975e1 [0,-1,1,-83408,-9259282] 1
39975f (1 curve)	1	3+ 5+ 13- 41-	0 3+ 5+  0  2 13-  6 -4
Curve Equation t Generators 39975f1 [0,-1,1,-33,-532] 1 [106:271:8]
39975g (1 curve)	1	3+ 5+ 13- 41-	0 3+ 5+  0 -6 13- -2  4
Curve Equation t Generators 39975g1 [0,-1,1,-59153283,175131927218] 1 [4532:10562:1]
39975h (1 curve)	1	3+ 5+ 13- 41-	0 3+ 5+ -3  5 13-  6 -1
Curve Equation t Generators 39975h1 [0,-1,1,-33,83] 1 [3:1:1]
39975i (4 curves)	1	3+ 5+ 13- 41-	1 3+ 5+  0  0 13-  2  4
Curve Equation t Generators 39975i1 [1,1,0,625,0] 2 [2888:29887:512] 39975i2 [1,1,0,-2500,-3125] 4 [-322:1643:8] 39975i3 [1,1,0,-28125,-1822500] 2 [-100:100:1] 39975i4 [1,1,0,-26875,1678750] 4 [3678:72679:8]
39975j (1 curve)	1	3+ 5+ 13- 41-	-2 3+ 5+ -2 -4 13- -2  0
Curve Equation t Generators 39975j1 [0,-1,1,-13408,605718] 1 [27:512:1]
39975k (1 curve)	1	3+ 5- 13- 41+	-2 3+ 5-  3 -1 13- -4 -5
Curve Equation t Generators 39975k1 [0,-1,1,-358,2718] 1 [7:-23:1]
39975l (1 curve)	0	3+ 5- 13- 41-	0 3+ 5-  2 -5 13-  6 -6
Curve Equation t 39975l1 [0,-1,1,202917,-21289057] 1
39975m (4 curves)	0	3- 5+ 13+ 41+	-1 3- 5+  0 -4 13+ -2  4
Curve Equation t 39975m1 [1,0,0,-1088,-28833] 2 39975m2 [1,0,0,-22213,-1275208] 4 39975m3 [1,0,0,-27088,-675583] 2 39975m4 [1,0,0,-355338,-81558333] 2
39975n (1 curve)	0	3- 5+ 13+ 41+	2 3- 5+ -2  0 13+  2  0
Curve Equation t 39975n1 [0,1,1,9242,400519] 1
39975o (1 curve)	0	3- 5+ 13+ 41+	2 3- 5+ -2 -5 13+  7  0
Curve Equation t 39975o1 [0,1,1,-237693758,-1410584718481] 1
39975p (1 curve)	0	3- 5+ 13+ 41+	2 3- 5+ -3 -1 13+  4 -5
Curve Equation t 39975p1 [0,1,1,-8958,321869] 1
39975q (1 curve)	1	3- 5+ 13+ 41-	0 3- 5+ -2 -5 13+ -6 -6
Curve Equation t Generators 39975q1 [0,1,1,8117,-167066] 1 [62:-761:1]
39975r (1 curve)	1	3- 5+ 13+ 41-	-1 3- 5+ -2  1 13+  1  0
Curve Equation t Generators 39975r1 [1,0,0,-7963,62042] 1 [-37:572:1]
39975s (1 curve)	1	3- 5+ 13- 41+	1 3- 5+  2 -1 13- -3  4
Curve Equation t Generators 39975s1 [1,0,1,-176,-877] 1 [-8657:4182:1331]
39975t (2 curves)	1	3- 5+ 13- 41+	1 3- 5+  2 -4 13-  6 -8
Curve Equation t Generators 39975t1 [1,0,1,-34626,2477023] 2 [694:2511:8] 39975t2 [1,0,1,-33501,2645773] 2 [247:2951:1]
39975u (1 curve)	1	3- 5+ 13- 41+	-2 3- 5+  2 -1 13-  3  4
Curve Equation t Generators 39975u1 [0,1,1,6792,217244] 1 [3:487:1]
39975v (2 curves)	0	3- 5+ 13- 41-	1 3- 5+ -4  0 13-  6  2
Curve Equation t 39975v1 [1,0,1,-1526,-32677] 2 39975v2 [1,0,1,-27151,-1723927] 2
39975w (1 curve)	1	3- 5- 13+ 41+	-1 3- 5-  2  5 13+ -1 -6
Curve Equation t Generators 39975w1 [1,0,0,-238338,44766567] 1 [237:1149:1]
39975x (1 curve)	0	3- 5- 13+ 41-	0 3- 5-  3  5 13+ -6 -1
Curve Equation t 39975x1 [0,1,1,-833,8744] 1
39975y (2 curves)	0	3- 5- 13- 41+	0 3- 5-  5  3 13-  6 -7
Curve Equation t 39975y1 [0,1,1,-6727583,6711810869] 3 39975y2 [0,1,1,-19485083,-24789646006] 1
39975z (1 curve)	1	3- 5- 13- 41-	0 3- 5- -2  4 13- -7  0
Curve Equation t Generators 39975z1 [0,1,1,-83,569] 1 [7:19:1]

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