Cremona's table of elliptic curves

17420 = 2² · 5 · 13 · 67

Class	r	Atkin-Lehner	Eigenvalues
17420a (1 curve)	0	2- 5+ 13+ 67+	2-  0 5+  1  0 13+ -6  5
Curve Equation t 17420a1 [0,0,0,-10703,-368202] 1
17420b (1 curve)	1	2- 5+ 13+ 67-	2-  1 5+ -1  2 13+  0  4
Curve Equation t Generators 17420b1 [0,1,0,-66,-235] 1 [122:403:8]
17420c (1 curve)	1	2- 5+ 13- 67+	2- -1 5+ -3  2 13- -2  4
Curve Equation t Generators 17420c1 [0,-1,0,34,205] 1 [-1:13:1]
17420d (2 curves)	0	2- 5+ 13- 67-	2-  1 5+ -4  3 13-  6 -4
Curve Equation t 17420d1 [0,1,0,99,575] 3 17420d2 [0,1,0,-941,-20641] 1
17420e (2 curves)	0	2- 5+ 13- 67-	2- -2 5+  5  0 13-  0  5
Curve Equation t 17420e1 [0,1,0,-436,3300] 3 17420e2 [0,1,0,-4076,-100076] 1
17420f (1 curve)	1	2- 5- 13+ 67+	2- -1 5- -3  4 13+  4 -4
Curve Equation t Generators 17420f1 [0,-1,0,-250,1625] 1 [20:65:1]
17420g (1 curve)	0	2- 5- 13+ 67-	2-  1 5- -1 -2 13+ -6  4
Curve Equation t 17420g1 [0,1,0,-6430,-200615] 1
17420h (1 curve)	2	2- 5- 13+ 67-	2- -1 5- -3  0 13+ -6 -8
Curve Equation t Generators 17420h1 [0,-1,0,70,25] 1 [0:5:1]&[2:13:1]
17420i (1 curve)	2	2- 5- 13- 67+	2-  0 5- -2 -6 13- -7 -3
Curve Equation t Generators 17420i1 [0,0,0,1648,130596] 1 [-28:250:1]&[12:390:1]
17420j (1 curve)	0	2- 5- 13- 67+	2-  0 5- -3  0 13-  2 -5
Curve Equation t 17420j1 [0,0,0,-32087,2212286] 1
17420k (1 curve)	0	2- 5- 13- 67+	2- -2 5-  3 -4 13- -4  7
Curve Equation t 17420k1 [0,1,0,-44220,-3593900] 1
17420l (1 curve)	0	2- 5- 13- 67+	2-  3 5-  3  6 13- -4 -8
Curve Equation t 17420l1 [0,0,0,-91626037,337579854809] 1
17420m (1 curve)	0	2- 5- 13- 67+	2-  3 5- -3 -6 13- -4  4
Curve Equation t 17420m1 [0,0,0,-937,-77491] 1

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

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