Cremona's table of elliptic curves

5590 = 2 · 5 · 13 · 43

Class	r	Atkin-Lehner	Eigenvalues
5590a (2 curves)	0	2+ 5+ 13- 43+	2+  0 5+  4  2 13-  6  4
Curve Equation t 5590a1 [1,-1,0,-6365,419781] 2 5590a2 [1,-1,0,-131365,18344781] 2
5590b (1 curve)	0	2+ 5- 13+ 43+	2+  1 5- -5 -5 13+  2 -6
Curve Equation t 5590b1 [1,0,1,-4408,-112994] 1
5590c (1 curve)	1	2+ 5- 13+ 43-	2+ -1 5- -2 -2 13+  0 -1
Curve Equation t Generators 5590c1 [1,1,0,-652,6224] 1 [8:36:1]
5590d (1 curve)	1	2- 5+ 13+ 43-	2- -1 5+  1 -1 13+ -6  2
Curve Equation t Generators 5590d1 [1,1,1,19,3] 1 [1:4:1]
5590e (1 curve)	1	2- 5+ 13- 43+	2-  1 5+  1  1 13- -6 -6
Curve Equation t Generators 5590e1 [1,0,0,-1521,49001] 1 [106:-1093:1]
5590f (2 curves)	0	2- 5- 13+ 43-	2-  0 5- -4 -6 13+ -2  8
Curve Equation t 5590f1 [1,-1,1,8,-9] 2 5590f2 [1,-1,1,-42,-49] 2
5590g (1 curve)	0	2- 5- 13+ 43-	2-  3 5-  2 -6 13+  0  7
Curve Equation t 5590g1 [1,-1,1,3,-11] 1
5590h (2 curves)	0	2- 5- 13- 43+	2-  0 5-  4  2 13- -2  4
Curve Equation t 5590h1 [1,-1,1,-202,-1271] 2 5590h2 [1,-1,1,-3402,-75511] 2

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

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