Cremona's table of elliptic curves

27166 = 2 · 17² · 47

Class	r	Atkin-Lehner	Eigenvalues
27166a (2 curves)	0	2- 17+ 47+	2-  0  0  0 -2 -4 17+ -2
Curve Equation t 27166a1 [1,-1,1,90,-3247] 2 27166a2 [1,-1,1,-2800,-54111] 2
27166b (4 curves)	0	2- 17+ 47+	2-  0 -2  4  4 -2 17+  4
Curve Equation t 27166b1 [1,-1,1,3269,78251] 4 27166b2 [1,-1,1,-19851,771851] 4 27166b3 [1,-1,1,-118111,-14989053] 2 27166b4 [1,-1,1,-291511,60645715] 2
27166c (2 curves)	0	2- 17+ 47+	2-  2  2  2  4  2 17+  0
Curve Equation t 27166c1 [1,1,1,-414432,106554881] 2 27166c2 [1,1,1,-6703072,6676925953] 2
27166d (2 curves)	0	2- 17+ 47+	2- -2  0 -4  2  6 17+  0
Curve Equation t 27166d1 [1,0,0,-229183,-42223719] 2 27166d2 [1,0,0,-275423,-23977415] 2
27166e (2 curves)	2	2- 17+ 47+	2- -2 -2 -2 -4  2 17+  0
Curve Equation t Generators 27166e1 [1,0,0,-1434,21604] 2 [-36:182:1]&[20:-42:1] 27166e2 [1,0,0,-23194,1357668] 2 [92:-114:1]&[326:5383:8]

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

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