Cremona's table of elliptic curves

10175 = 5² · 11 · 37

Class	r	Atkin-Lehner	Eigenvalues
10175a (1 curve)	1	5+ 11+ 37+	1 -1 5+ -2 11+  5 -3  4
Curve Equation t Generators 10175a1 [1,1,0,0,-5] 1 [6:13:1]
10175b (1 curve)	1	5+ 11+ 37+	-1  0 5+  2 11+  0 -4  5
Curve Equation t Generators 10175b1 [1,-1,1,-10,22] 1 [-2:6:1]
10175c (2 curves)	1	5+ 11+ 37+	-1  0 5+  2 11+ -6  2  2
Curve Equation t Generators 10175c1 [1,-1,1,-60130,-5660128] 2 [959:28120:1] 10175c2 [1,-1,1,-58755,-5932378] 2 [7670:225013:8]
10175d (1 curve)	1	5+ 11+ 37+	2  0 5+ -1 11+  6  2 -4
Curve Equation t Generators 10175d1 [0,0,1,-9137825,10687902281] 1 [-22843590:21155071819:195112]
10175e (2 curves)	0	5+ 11+ 37-	1  2 5+  4 11+  6  6  0
Curve Equation t 10175e1 [1,1,0,-2500,46875] 2 10175e2 [1,1,0,-3875,-12250] 2
10175f (1 curve)	0	5+ 11+ 37-	-1 -1 5+ -4 11+ -1  7  8
Curve Equation t 10175f1 [1,1,1,1237,-28344] 1
10175g (1 curve)	0	5+ 11+ 37-	2  0 5+ -3 11+ -2  6 -4
Curve Equation t 10175g1 [0,0,1,-1175,-18469] 1
10175h (1 curve)	0	5- 11+ 37+	0  0 5-  1 11+ -4  6  0
Curve Equation t 10175h1 [0,0,1,250,-14844] 1
10175i (1 curve)	0	5- 11+ 37+	1  1 5-  4 11+  1 -7  8
Curve Equation t 10175i1 [1,0,1,49,-227] 1
10175j (1 curve)	1	5- 11+ 37-	0  0 5- -1 11+  4 -6  0
Curve Equation t Generators 10175j1 [0,0,1,10,-119] 1 [5:7:1]
10175k (1 curve)	1	5- 11+ 37-	1  0 5- -2 11+  0  4  5
Curve Equation t Generators 10175k1 [1,-1,0,-242,2541] 1 [44:253:1]
10175l (1 curve)	1	5- 11+ 37-	-1  1 5-  2 11+ -5  3  4
Curve Equation t Generators 10175l1 [1,0,0,-13,-608] 1 [27:124:1]

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