Cremona's table of elliptic curves

17589 = 3 · 11 · 13 · 41

Class	r	Atkin-Lehner	Eigenvalues
17589a (1 curve)	1	3+ 11- 13- 41+	-1 3+  3  3 11- 13- -1  1
Curve Equation t Generators 17589a1 [1,1,1,174161,-3994576] 1 [812:25548:1]
17589b (1 curve)	2	3- 11+ 13+ 41+	-1 3- -3 -5 11+ 13+  3 -7
Curve Equation t Generators 17589b1 [1,0,0,-22,359] 1 [-7:17:1]&[-1:20:1]
17589c (2 curves)	1	3- 11- 13+ 41+	-1 3-  0  4 11- 13+  0 -4
Curve Equation t Generators 17589c1 [1,0,0,-136158,-19350837] 2 [3309:187461:1] 17589c2 [1,0,0,-2178573,-1237855626] 2 [2271:73218:1]
17589d (1 curve)	0	3- 11- 13- 41+	1 3- -1  3 11- 13-  3 -7
Curve Equation t 17589d1 [1,0,1,2906691,1616994943] 1
17589e (4 curves)	0	3- 11- 13- 41+	1 3-  2  0 11- 13- -6 -4
Curve Equation t 17589e1 [1,0,1,-2340,-43667] 2 17589e2 [1,0,1,-3185,-9529] 4 17589e3 [1,0,1,-32500,2241863] 2 17589e4 [1,0,1,12610,-72709] 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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