Cremona's table of elliptic curves

666 = 2 · 3² · 37

Class	r	Atkin-Lehner	Eigenvalues
666a (1 curve)	0	2+ 3+ 37-	2+ 3+  2 -3  5 -3  3  5
Curve Equation t 666a1 [1,-1,0,-231,-1315] 1
666b (1 curve)	0	2+ 3- 37+	2+ 3-  0  3 -1  1  3  3
Curve Equation t 666b1 [1,-1,0,153,-4685] 1
666c (2 curves)	1	2+ 3- 37-	2+ 3-  0 -1 -3 -1  3 -7
Curve Equation t Generators 666c1 [1,-1,0,18,108] 1 [3:12:1] 666c2 [1,-1,0,-1332,19062] 3 [21:-6:1]
666d (1 curve)	1	2- 3+ 37-	2- 3+ -2 -3 -5 -3 -3  5
Curve Equation t Generators 666d1 [1,-1,1,-26,57] 1 [5:-9:1]
666e (1 curve)	1	2- 3- 37+	2- 3- -4 -1  1 -3 -3 -5
Curve Equation t Generators 666e1 [1,-1,1,13,1235] 1 [27:-158:1]
666f (4 curves)	0	2- 3- 37-	2- 3- -2  0  4  6 -6  8
Curve Equation t 666f1 [1,-1,1,139,141] 4 666f2 [1,-1,1,-581,1581] 4 666f3 [1,-1,1,-5441,-151995] 2 666f4 [1,-1,1,-7241,238677] 2
666g (1 curve)	0	2- 3- 37-	2- 3-  4  3 -5  3 -3 -7
Curve Equation t 666g1 [1,-1,1,-1640858,-808607271] 1

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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