Cremona's table of elliptic curves

171 = 3² · 19

Class	r	Atkin-Lehner	Eigenvalues
171a (4 curves)	0	3- 19+	-1 3-  2  0  0  6  6 19+
Curve Equation t 171a1 [1,-1,1,-14,20] 4 171a2 [1,-1,1,-59,-142] 4 171a3 [1,-1,1,-914,-10402] 2 171a4 [1,-1,1,76,-790] 2
171c (2 curves)	0	3- 19+	2 3- -1  3  3 -6 -3 19+
Curve Equation t 171c1 [0,0,1,177,1035] 1 171c2 [0,0,1,-39513,3023145] 1
171d (1 curve)	0	3- 19+	2 3-  3 -5 -1  2  1 19+
Curve Equation t 171d1 [0,0,1,-21,-41] 1
171b (3 curves)	1	3- 19-	0 3- -3 -1 -3 -4  3 19-
Curve Equation t Generators 171b1 [0,0,1,6,0] 1 [2:4:1] 171b2 [0,0,1,-84,315] 3 [5:4:1] 171b3 [0,0,1,-6924,221760] 3 [62:175:1]

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

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