Cremona's table of elliptic curves

17649 = 3² · 37 · 53

Class	r	Atkin-Lehner	Eigenvalues
17649a (1 curve)	0	3+ 37- 53+	2 3+  4 -3 -4  4 -3  5
Curve Equation t 17649a1 [0,0,1,-3,11] 1
17649b (1 curve)	1	3+ 37- 53-	-2 3+ -4 -3  4  4  3  5
Curve Equation t Generators 17649b1 [0,0,1,-27,-304] 1 [9:13:1]
17649c (4 curves)	1	3- 37- 53+	-1 3- -2  0 -4 -2  6 -4
Curve Equation t Generators 17649c1 [1,-1,1,-371,-2654] 2 [38:173:1] 17649c2 [1,-1,1,-416,-1934] 4 [-14:38:1] 17649c3 [1,-1,1,-2801,56260] 2 [44:107:1] 17649c4 [1,-1,1,1249,-14588] 2 [23:149:1]
17649d (2 curves)	0	3- 37- 53-	1 3-  2  0 -4 -6 -4  2
Curve Equation t 17649d1 [1,-1,0,-81,-648] 2 17649d2 [1,-1,0,-1746,-27621] 2

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

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