Cremona's table of elliptic curves

47175 = 3 · 5² · 17 · 37

Class	r	Atkin-Lehner	Eigenvalues
47175a (2 curves)	1	3+ 5+ 17+ 37+	0 3+ 5+ -2  3 -5 17+ -7
Curve Equation t Generators 47175a1 [0,-1,1,1267,78743] 1 [-29:129:1] 47175a2 [0,-1,1,-11483,-2222632] 1 [6764386:77813439:29791]
47175b (1 curve)	0	3+ 5+ 17+ 37-	0 3+ 5+  2 -1 -5 17+  1
Curve Equation t 47175b1 [0,-1,1,-18755783,-31403071282] 1
47175c (4 curves)	2	3+ 5+ 17- 37+	-1 3+ 5+  0  0 -2 17-  0
Curve Equation t Generators 47175c1 [1,1,1,-1713,26406] 2 [16:50:1]&[-250:1921:8] 47175c2 [1,1,1,-2838,-14094] 4 [-282:1809:8]&[-30:227:1] 47175c3 [1,1,1,11037,-97344] 2 [81:1115:1]&[200:3087:1] 47175c4 [1,1,1,-34713,-2500344] 2 [-105:77:1]&[-55608:57175:512]
47175d (2 curves)	1	3+ 5+ 17- 37-	1 3+ 5+  0 -2  0 17-  4
Curve Equation t Generators 47175d1 [1,1,0,-650,-8625] 2 [5470:401865:1] 47175d2 [1,1,0,-11275,-465500] 2 [990:1355:8]
47175e (1 curve)	1	3+ 5- 17+ 37-	2 3+ 5- -3 -5 -2 17+ -2
Curve Equation t Generators 47175e1 [0,-1,1,-518,-4387] 1 [8548:96843:64]
47175f (1 curve)	1	3+ 5- 17- 37+	0 3+ 5-  3  6 -3 17- -5
Curve Equation t Generators 47175f1 [0,-1,1,-74583,33678443] 1 [173:5091:1]
47175g (2 curves)	0	3+ 5- 17- 37-	-1 3+ 5-  0  4 -2 17-  4
Curve Equation t 47175g1 [1,1,1,-235773,-43989294] 2 47175g2 [1,1,1,-358598,6614606] 2
47175h (6 curves)	0	3- 5+ 17+ 37+	1 3- 5+  0 -4 -6 17+ -4
Curve Equation t 47175h1 [1,0,1,11499,-476477] 2 47175h2 [1,0,1,-66626,-4538977] 4 47175h3 [1,0,1,-413501,98829773] 2 47175h4 [1,0,1,-969751,-367595227] 4 47175h5 [1,0,1,-874126,-442947727] 2 47175h6 [1,0,1,-15515376,-23524230227] 2
47175i (1 curve)	0	3- 5+ 17+ 37+	2 3- 5+  2 -4  1 17+  0
Curve Equation t 47175i1 [0,1,1,842,267469] 1
47175j (1 curve)	1	3- 5+ 17+ 37-	0 3- 5+ -3  6  3 17+ -5
Curve Equation t Generators 47175j1 [0,1,1,-2983,268234] 1 [-58:499:1]
47175k (1 curve)	1	3- 5+ 17+ 37-	1 3- 5+  1 -3  4 17+ -7
Curve Equation t Generators 47175k1 [1,0,1,-426,3373] 1 [13:2:1]
47175l (2 curves)	1	3- 5+ 17+ 37-	1 3- 5+  4 -6 -2 17+  2
Curve Equation t Generators 47175l1 [1,0,1,-40276,-3111427] 2 [-117410:105707:1000] 47175l2 [1,0,1,-30151,-4711177] 2 [1267:43991:1]
47175m (1 curve)	1	3- 5+ 17- 37+	0 3- 5+  2  0 -7 17- -6
Curve Equation t Generators 47175m1 [0,1,1,-32283,-2905531] 1 [243:1912:1]
47175n (1 curve)	1	3- 5+ 17- 37+	-2 3- 5+  1 -3  2 17-  6
Curve Equation t Generators 47175n1 [0,1,1,-1908,40844] 1 [3:187:1]
47175o (2 curves)	1	3- 5- 17+ 37+	1 3- 5-  0  4  2 17+  4
Curve Equation t Generators 47175o1 [1,0,1,-5894326,-5486873077] 2 [-5449712:-644713:4096] 47175o2 [1,0,1,-8964951,844755673] 2 [-8402:767433:8]
47175p (1 curve)	0	3- 5- 17- 37+	-2 3- 5-  3 -5  2 17- -2
Curve Equation t 47175p1 [0,1,1,-12958,-574256] 1

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