Cremona's table of elliptic curves

693 = 3² · 7 · 11

Class	r	Atkin-Lehner	Eigenvalues
693a (2 curves)	0	3- 7+ 11+	-1 3-  2 7+ 11+  4 -4  0
Curve Equation t 693a1 [1,-1,1,31,-264] 2 693a2 [1,-1,1,-464,-3432] 2
693b (1 curve)	1	3- 7+ 11-	0 3-  1 7+ 11- -4 -2 -6
Curve Equation t Generators 693b1 [0,0,1,18,-7] 1 [1:3:1]
693c (3 curves)	0	3- 7- 11-	0 3- -3 7- 11- -4  6  2
Curve Equation t 693c1 [0,0,1,-804,-8775] 1 693c2 [0,0,1,-444,-16650] 3 693c3 [0,0,1,3966,430965] 3
693d (6 curves)	0	3- 7- 11-	1 3-  2 7- 11-  6 -2  4
Curve Equation t 693d1 [1,-1,0,-306,-1985] 2 693d2 [1,-1,0,-351,-1328] 4 693d3 [1,-1,0,-2556,49387] 4 693d4 [1,-1,0,1134,-10535] 2 693d5 [1,-1,0,-40671,3167194] 2 693d6 [1,-1,0,279,150880] 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