Cremona's table of elliptic curves

17675 = 5² · 7 · 101

Class	r	Atkin-Lehner	Eigenvalues
17675a (1 curve)	1	5+ 7+ 101+	0  3 5+ 7+  0  0 -6 -2
Curve Equation t Generators 17675a1 [0,0,1,-10,-14] 1 [462:1862:27]
17675b (1 curve)	0	5+ 7+ 101-	1 -3 5+ 7+  0  4  0  4
Curve Equation t 17675b1 [1,-1,0,-292,-2009] 1
17675c (1 curve)	0	5+ 7+ 101-	-2  0 5+ 7+  0  4  6 -2
Curve Equation t 17675c1 [0,0,1,275,1316] 1
17675d (1 curve)	0	5+ 7- 101+	1 -1 5+ 7-  4  4 -4  8
Curve Equation t 17675d1 [1,1,0,611875,-280683500] 1
17675e (1 curve)	0	5+ 7- 101+	-2  1 5+ 7-  6  6  0  4
Curve Equation t 17675e1 [0,1,1,2,-6] 1
17675f (1 curve)	1	5+ 7- 101-	-1 -2 5+ 7-  3  0 -6  1
Curve Equation t Generators 17675f1 [1,0,0,-13,-18] 1 [-2:2:1]
17675g (1 curve)	1	5+ 7- 101-	2  1 5+ 7-  3  3 -3 -2
Curve Equation t Generators 17675g1 [0,1,1,4242,141769] 1 [1274:17671:8]
17675h (1 curve)	1	5+ 7- 101-	2  2 5+ 7- -4  1  7 -7
Curve Equation t Generators 17675h1 [0,-1,1,-308,2143] 1 [74:-1:8]
17675i (1 curve)	0	5- 7+ 101+	2 -1 5- 7+  6 -6  0  4
Curve Equation t 17675i1 [0,-1,1,42,-807] 1
17675j (1 curve)	1	5- 7+ 101-	1  2 5- 7+  3  0  6  1
Curve Equation t Generators 17675j1 [1,1,0,-325,-2250] 1 [-22308:13853:1728]
17675k (1 curve)	1	5- 7- 101+	0 -3 5- 7-  0  0  6 -2
Curve Equation t Generators 17675k1 [0,0,1,-250,-1719] 1 [25:87:1]
17675l (1 curve)	0	5- 7- 101-	2  0 5- 7-  0 -4 -6 -2
Curve Equation t 17675l1 [0,0,1,6875,164531] 1

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

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