Cremona's table of elliptic curves

16575 = 3 · 5² · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
16575a (4 curves)	1	3+ 5+ 13+ 17+	1 3+ 5+ -4  0 13+ 17+  4
Curve Equation t Generators 16575a1 [1,1,0,-3400,41875] 2 [-50:325:1] 16575a2 [1,1,0,-24525,-1458000] 4 [-738:1755:8] 16575a3 [1,1,0,-390150,-93961125] 2 [-3842278:1896373:10648] 16575a4 [1,1,0,3100,-4524375] 2 [984466:17486365:2744]
16575b (2 curves)	0	3+ 5+ 13- 17+	1 3+ 5+  2 -2 13- 17+  0
Curve Equation t 16575b1 [1,1,0,-825,-9000] 2 16575b2 [1,1,0,-2450,34875] 2
16575c (2 curves)	1	3+ 5+ 13- 17-	1 3+ 5+  2  0 13- 17-  2
Curve Equation t Generators 16575c1 [1,1,0,-500,-4125] 2 [26:23:1] 16575c2 [1,1,0,625,-18750] 2 [50:350:1]
16575d (1 curve)	1	3+ 5- 13- 17+	2 3+ 5- -2  0 13- 17+ -8
Curve Equation t Generators 16575d1 [0,-1,1,52,-127] 1 [26:61:8]
16575e (1 curve)	0	3- 5+ 13+ 17+	0 3- 5+ -2  2 13+ 17+  2
Curve Equation t 16575e1 [0,1,1,-133,-731] 1
16575f (6 curves)	0	3- 5+ 13+ 17+	1 3- 5+  0  4 13+ 17+ -4
Curve Equation t 16575f1 [1,0,1,-13476,600973] 2 16575f2 [1,0,1,-13601,589223] 4 16575f3 [1,0,1,-34726,-1692277] 4 16575f4 [1,0,1,5524,2119223] 2 16575f5 [1,0,1,-504351,-137883527] 2 16575f6 [1,0,1,96899,-11432527] 2
16575g (4 curves)	0	3- 5+ 13+ 17+	-1 3- 5+ -4 -4 13+ 17+  0
Curve Equation t 16575g1 [1,0,0,5673537,8219763792] 2 16575g2 [1,0,0,-43154588,88053748167] 4 16575g3 [1,0,0,-214795213,-1133169298708] 2 16575g4 [1,0,0,-652763963,6418847107542] 2
16575h (4 curves)	1	3- 5+ 13+ 17-	1 3- 5+  4 -4 13+ 17- -4
Curve Equation t Generators 16575h1 [1,0,1,-651,6073] 2 [-19:117:1] 16575h2 [1,0,1,-1776,-20927] 4 [-202:811:8] 16575h3 [1,0,1,-26151,-1629677] 2 [-3644426:2034443:39304] 16575h4 [1,0,1,4599,-135677] 2 [216314:2216173:2744]
16575i (1 curve)	1	3- 5+ 13- 17+	0 3- 5+ -2  2 13- 17+  2
Curve Equation t Generators 16575i1 [0,1,1,-16283,1285094] 1 [538:12187:1]
16575j (2 curves)	1	3- 5+ 13- 17+	-1 3- 5+ -2  6 13- 17+  4
Curve Equation t Generators 16575j1 [1,0,0,-6563,-205008] 2 [-47:37:1] 16575j2 [1,0,0,-8188,-96133] 2 [-73:374:1]
16575k (1 curve)	0	3- 5- 13+ 17-	-2 3- 5-  2  0 13+ 17- -8
Curve Equation t 16575k1 [0,1,1,1292,-13256] 1

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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