Cremona's table of elliptic curves

1989 = 3² · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
1989a (2 curves)	0	3- 13+ 17+	1 3-  0 -2  2 13+ 17+  0
Curve Equation t 1989a1 [1,-1,0,-297,1944] 2 1989a2 [1,-1,0,-882,-7533] 2
1989b (2 curves)	0	3- 13+ 17+	1 3- -4 -2 -6 13+ 17+  8
Curve Equation t 1989b1 [1,-1,0,-6594,-204121] 2 1989b2 [1,-1,0,-105459,-13155436] 2
1989c (2 curves)	0	3- 13+ 17+	-1 3- -2  2  6 13+ 17+  4
Curve Equation t 1989c1 [1,-1,1,-536,-4638] 2 1989c2 [1,-1,1,-491,-5484] 2
1989d (2 curves)	0	3- 13+ 17+	-1 3-  4  2 -6 13+ 17+  4
Curve Equation t 1989d1 [1,-1,1,-2363,44754] 2 1989d2 [1,-1,1,-2948,21354] 2
1989e (6 curves)	1	3- 13- 17+	1 3-  2  0 -4 13- 17+ -4
Curve Equation t Generators 1989e1 [1,-1,0,-4851,-128840] 2 [10680:28876:125] 1989e2 [1,-1,0,-4896,-126293] 4 [162:1739:1] 1989e3 [1,-1,0,-12501,368032] 4 [10836:106967:64] 1989e4 [1,-1,0,1989,-458150] 2 [98:770:1] 1989e5 [1,-1,0,-181566,29819155] 2 [-22:5825:1] 1989e6 [1,-1,0,34884,2462449] 2 [14102244:363963683:140608]

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

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