Cremona's table of elliptic curves

5566 = 2 · 11² · 23

Class	r	Atkin-Lehner	Eigenvalues
5566a (1 curve)	1	2+ 11+ 23+	2+  2  3 -3 11+ -3  3  0
Curve Equation t Generators 5566a1 [1,1,0,-2026,-2988] 1 [-27:195:1]
5566b (1 curve)	0	2+ 11- 23+	2+ -2 -1  1 11-  3  5  6
Curve Equation t 5566b1 [1,0,1,-10409,-399060] 1
5566c (1 curve)	1	2+ 11- 23-	2+  0 -3  3 11-  1  1  2
Curve Equation t Generators 5566c1 [1,-1,0,-446,2316] 1 [-19:70:1]
5566d (1 curve)	0	2- 11+ 23+	2-  2  3  3 11+  3 -3  0
Curve Equation t 5566d1 [1,1,1,-245209,2751079] 1
5566e (1 curve)	1	2- 11- 23+	2- -2  1  1 11- -3 -3  6
Curve Equation t Generators 5566e1 [1,0,0,-5750,166948] 1 [-12:490:1]
5566f (2 curves)	1	2- 11- 23+	2- -2  3 -5 11-  1  3 -2
Curve Equation t Generators 5566f1 [1,0,0,-1394,-12374] 1 [-250:367:8] 5566f2 [1,0,0,-47979,4040521] 1 [120:61:1]
5566g (1 curve)	0	2- 11- 23-	2-  0 -1 -1 11-  7 -3  2
Curve Equation t 5566g1 [1,-1,1,-113158,-14606347] 1
5566h (1 curve)	0	2- 11- 23-	2-  0 -3 -3 11- -5 -5  2
Curve Equation t 5566h1 [1,-1,1,-35157904,-80229668021] 1
5566i (2 curves)	0	2- 11- 23-	2-  0  4  4 11-  2  2  2
Curve Equation t 5566i1 [1,-1,1,-1233,19649] 2 5566i2 [1,-1,1,-20593,1142529] 2

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

Part of Computational Number Theory
Back to Tables and computations