Cremona's table of elliptic curves

13617 = 3² · 17 · 89

Class	r	Atkin-Lehner	Eigenvalues
13617a (1 curve)	2	3+ 17+ 89-	0 3+  2 -3 -3 -6 17+ -6
Curve Equation t Generators 13617a1 [0,0,1,-54,-304] 1 [10:12:1]&[18:67:1]
13617b (1 curve)	2	3+ 17- 89+	0 3+ -2 -3  3 -6 17- -6
Curve Equation t Generators 13617b1 [0,0,1,-6,11] 1 [-3:1:1]&[1:2:1]
13617c (2 curves)	0	3- 17+ 89+	-1 3-  2 -4 -2  2 17+  4
Curve Equation t 13617c1 [1,-1,1,-671279,211858710] 2 13617c2 [1,-1,1,-667274,214508418] 2
13617d (2 curves)	1	3- 17+ 89-	1 3- -2  2 -4  2 17+  4
Curve Equation t Generators 13617d1 [1,-1,0,-1188,13819] 2 [-242:1291:8] 13617d2 [1,-1,0,-5193,-129560] 2 [-44490:131471:1000]
13617e (1 curve)	1	3- 17- 89+	2 3- -1 -4  1  5 17-  1
Curve Equation t Generators 13617e1 [0,0,1,-16293,30707347] 1 [3938:95315:8]
13617f (1 curve)	2	3- 17- 89-	-2 3- -2 -1 -1 -4 17- -2
Curve Equation t Generators 13617f1 [0,0,1,159,4396] 1 [-40488:-561644:9261]&[1:67:1]

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

Part of Computational Number Theory
Back to Tables and computations