Cremona's table of elliptic curves

5270 = 2 · 5 · 17 · 31

Class	r	Atkin-Lehner	Eigenvalues
5270a (1 curve)	1	2+ 5+ 17+ 31+	2+  2 5+  1  1 -3 17+  1
Curve Equation t Generators 5270a1 [1,1,0,-7083,-232963] 1 [215774:277649:2197]
5270b (2 curves)	0	2+ 5+ 17+ 31-	2+  1 5+  2 -6  5 17+  2
Curve Equation t 5270b1 [1,0,1,-394,2956] 3 5270b2 [1,0,1,-2409,-43668] 1
5270c (1 curve)	1	2+ 5- 17- 31+	2+  1 5- -2 -2  3 17- -2
Curve Equation t Generators 5270c1 [1,0,1,-357093,-69222192] 1 [-381:3590:1]
5270d (1 curve)	0	2- 5+ 17+ 31+	2-  2 5+  5 -3  5 17+  1
Curve Equation t 5270d1 [1,1,1,-2661,51803] 1
5270e (4 curves)	1	2- 5- 17+ 31+	2-  0 5-  0  4 -6 17+ -4
Curve Equation t Generators 5270e1 [1,-1,1,53,-1829] 4 [19:66:1] 5270e2 [1,-1,1,-1947,-31429] 4 [69:364:1] 5270e3 [1,-1,1,-30847,-2077549] 2 [10533:176132:27] 5270e4 [1,-1,1,-5047,96291] 2 [25837:114932:343]
5270f (1 curve)	1	2- 5- 17+ 31+	2- -3 5-  0  0  1 17+ -6
Curve Equation t Generators 5270f1 [1,-1,1,-177,801] 1 [1:24:1]

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