Cremona's table of elliptic curves

174 = 2 · 3 · 29

Class	r	Atkin-Lehner	Eigenvalues
174e (1 curve)	0	2+ 3+ 29-	2+ 3+  3 -3  6  0  7  5
Curve Equation t 174e1 [1,1,0,-56,-192] 1
174a (2 curves)	0	2+ 3- 29+	2+ 3- -3  5  6 -4  3 -1
Curve Equation t 174a1 [1,0,1,-7705,1226492] 3 174a2 [1,0,1,68840,-31810330] 1
174d (4 curves)	0	2+ 3- 29+	2+ 3-  2  0 -4  6 -2  4
Curve Equation t 174d1 [1,0,1,0,-2] 2 174d2 [1,0,1,-20,-34] 4 174d3 [1,0,1,-310,-2122] 2 174d4 [1,0,1,-50,86] 2
174c (1 curve)	0	2- 3+ 29+	2- 3+  1  1  6 -4 -7 -3
Curve Equation t 174c1 [1,1,1,-5,-7] 1
174b (2 curves)	0	2- 3- 29-	2- 3- -1  1 -2  0 -3 -1
Curve Equation t 174b1 [1,0,0,-1,137] 7 174b2 [1,0,0,-6511,-203353] 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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