Cremona's table of elliptic curves

66 = 2 · 3 · 11

Class	r	Atkin-Lehner	Eigenvalues
66a (4 curves)	0	2+ 3- 11+	2+ 3-  0  2 11+ -4 -6 -4
Curve Equation t 66a1 [1,0,1,-6,4] 6 66a2 [1,0,1,4,20] 6 66a3 [1,0,1,-81,-284] 2 66a4 [1,0,1,-41,-556] 2
66b (4 curves)	0	2- 3+ 11+	2- 3+  2 -4 11+ -6  2  4
Curve Equation t 66b1 [1,1,1,-2,-1] 4 66b2 [1,1,1,-22,-49] 4 66b3 [1,1,1,-352,-2689] 2 66b4 [1,1,1,-12,-81] 2
66c (4 curves)	0	2- 3- 11-	2- 3- -4 -2 11-  4 -2  0
Curve Equation t 66c1 [1,0,0,-45,81] 10 66c2 [1,0,0,115,561] 10 66c3 [1,0,0,-10065,-389499] 2 66c4 [1,0,0,-10055,-390309] 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
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