Cremona's table of elliptic curves

660 = 2² · 3 · 5 · 11

Class	r	Atkin-Lehner	Eigenvalues
660a (2 curves)	0	2- 3+ 5+ 11+	2- 3+ 5+ -2 11+  2  8 -2
Curve Equation t 660a1 [0,-1,0,-21,-54] 2 660a2 [0,-1,0,-396,-2904] 2
660b (2 curves)	1	2- 3+ 5+ 11-	2- 3+ 5+  0 11- -4 -2  2
Curve Equation t Generators 660b1 [0,-1,0,-1,10] 2 [1:3:1] 660b2 [0,-1,0,-76,280] 2 [-6:22:1]
660c (4 curves)	1	2- 3- 5+ 11+	2- 3- 5+ -4 11+ -4 -6  2
Curve Equation t Generators 660c1 [0,1,0,-41,120] 6 [-5:15:1] 660c2 [0,1,0,-716,7140] 6 [-29:66:1] 660c3 [0,1,0,319,-1356] 2 [16:90:1] 660c4 [0,1,0,-1556,-13356] 2 [378:1155:8]
660d (4 curves)	0	2- 3- 5+ 11-	2- 3- 5+  2 11-  2  0  2
Curve Equation t 660d1 [0,1,0,219,-4500] 6 660d2 [0,1,0,-3156,-63900] 6 660d3 [0,1,0,-15621,-757296] 2 660d4 [0,1,0,-249996,-48194796] 2

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

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