Cremona's table of elliptic curves

89739 = 3² · 13² · 59

Class	r	Atkin-Lehner	Eigenvalues
89739a (1 curve)	1	3+ 13+ 59+	0 3+ -1  2 -6 13+  0  8
Curve Equation t Generators 89739a1 [0,0,1,-37518,-1102345] 1 [429:7858:1]
89739b (1 curve)	1	3+ 13+ 59+	-2 3+ -3  4 -2 13+ -6  6
Curve Equation t Generators 89739b1 [0,0,1,-13689,459722] 1 [195:-2282:1]
89739c (1 curve)	0	3+ 13+ 59-	0 3+  1  2  6 13+  0  8
Curve Equation t 89739c1 [0,0,1,-337662,29763308] 1
89739d (1 curve)	0	3+ 13+ 59-	2 3+  3  4  2 13+  6  6
Curve Equation t 89739d1 [0,0,1,-1521,-17027] 1
89739e (1 curve)	1	3- 13+ 59-	0 3-  1 -2 -4 13+  6 -4
Curve Equation t Generators 89739e1 [0,0,1,-84162,-8640252] 1 [416:5323:1]
89739f (2 curves)	1	3- 13+ 59-	-1 3-  0 -2 -4 13+ -6  6
Curve Equation t Generators 89739f1 [1,-1,1,10615,-2094816] 2 [6176:482304:1] 89739f2 [1,-1,1,-194720,-31005984] 2 [530:3537:1]
89739g (1 curve)	1	3- 13- 59+	0 3-  3  0  6 13-  0  0
Curve Equation t Generators 89739g1 [0,0,1,-896376,-86418446] 1 [-758:12550:1]
89739h (1 curve)	1	3- 13- 59+	-1 3-  1 -4 -5 13- -8 -7
Curve Equation t Generators 89739h1 [1,-1,1,83623,47121702] 1 [296:9738:1]
89739i (1 curve)	1	3- 13- 59+	-2 3-  1 -2 -6 13-  6  2
Curve Equation t Generators 89739i1 [0,0,1,-243867,-46318802] 1 [676:9886:1]
89739j (1 curve)	2	3- 13- 59-	0 3- -3  0 -6 13-  0  0
Curve Equation t Generators 89739j1 [0,0,1,-5304,-39335] 1 [-23:-266:1]&[-65:175:1]
89739k (1 curve)	0	3- 13- 59-	1 3- -1  4  5 13- -8  7
Curve Equation t 89739k1 [1,-1,0,495,21334] 1
89739l (1 curve)	0	3- 13- 59-	2 3- -1  2  6 13-  6 -2
Curve Equation t 89739l1 [0,0,1,-1443,-21083] 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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