Cremona's table of elliptic curves

89780 = 2² · 5 · 67²

Class	r	Atkin-Lehner	Eigenvalues
89780a (2 curves)	1	2- 5+ 67-	2- -1 5+  1  6 -2  0  2
Curve Equation t Generators 89780a1 [0,-1,0,-156,1000] 1 [25:110:1] 89780a2 [0,-1,0,-13556,612040] 1 [66:22:1]
89780b (2 curves)	1	2- 5- 67+	2-  1 5- -1 -6  2  0  2
Curve Equation t Generators 89780b1 [0,1,0,-701780,-285334972] 3 [1787919257858910629292:41238567922167967618142:1413975268082087199] 89780b2 [0,1,0,-60854380,-182740201292] 1 [604059850460440847693018379968233756960375721165884569:190093831066644291657737681137979346448575128522506355644:6061197819724060354450456243270715114484682003383]
89780c (1 curve)	0	2- 5- 67-	2- -1 5- -1  6 -2  4 -8
Curve Equation t 89780c1 [0,-1,0,-28430,-2118143] 1
89780d (1 curve)	0	2- 5- 67-	2- -1 5- -5  0 -2  2  4
Curve Equation t 89780d1 [0,-1,0,-5415230,-4848622103] 1
89780e (1 curve)	0	2- 5- 67-	2-  2 5- -2  0 -2 -1  1
Curve Equation t 89780e1 [0,-1,0,-29364045,-221314307143] 1
89780f (4 curves)	0	2- 5- 67-	2-  2 5- -2  0 -2 -6 -4
Curve Equation t 89780f1 [0,-1,0,-5985,-120538] 2 89780f2 [0,-1,0,16460,-829800] 2 89780f3 [0,-1,0,-185545,30817650] 2 89780f4 [0,-1,0,-163100,38529752] 2

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

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