Cremona's table of elliptic curves

552 = 2³ · 3 · 23

Class	r	Atkin-Lehner	Eigenvalues
552a (2 curves)	1	2+ 3+ 23+	2+ 3+ -2  2 -2 -2 -4  0
Curve Equation t Generators 552a1 [0,-1,0,-64,-260] 2 [18:64:1] 552a2 [0,-1,0,-1144,-14516] 2 [45:152:1]
552b (2 curves)	0	2+ 3+ 23-	2+ 3+  0 -2  0  2  8  6
Curve Equation t 552b1 [0,-1,0,-2908,61876] 2 552b2 [0,-1,0,-46648,3893500] 2
552c (2 curves)	0	2+ 3+ 23-	2+ 3+  4  2  0  2 -4 -6
Curve Equation t 552c1 [0,-1,0,4,-12] 2 552c2 [0,-1,0,-56,-132] 2
552d (4 curves)	1	2- 3+ 23-	2- 3+  2 -4 -4 -2 -2  0
Curve Equation t Generators 552d1 [0,-1,0,-207,-1080] 2 [17:5:1] 552d2 [0,-1,0,-212,-1020] 4 [-8:10:1] 552d3 [0,-1,0,-752,6972] 4 [46:260:1] 552d4 [0,-1,0,248,-5252] 2 [38:240:1]
552e (4 curves)	1	2- 3- 23+	2- 3- -2 -4  0 -2 -2 -4
Curve Equation t Generators 552e1 [0,1,0,-4,32] 4 [-2:6:1] 552e2 [0,1,0,-184,896] 4 [11:18:1] 552e3 [0,1,0,-304,-544] 2 [19:30:1] 552e4 [0,1,0,-2944,60512] 2 [266:177:8]

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

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