Cremona's table of elliptic curves

423 = 3² · 47

Class	r	Atkin-Lehner	Eigenvalues
423g (1 curve)	1	3+ 47+	-2 3+ -3  1  3  0  0 -4
Curve Equation t Generators 423g1 [0,0,1,-9,10] 1 [1:1:1]
423d (1 curve)	0	3+ 47-	2 3+  3  1 -3  0  0 -4
Curve Equation t 423d1 [0,0,1,-81,-277] 1
423b (2 curves)	0	3- 47+	1 3-  0  4  0  6  6  2
Curve Equation t 423b1 [1,-1,0,-72,355] 2 423b2 [1,-1,0,-1287,18094] 2
423e (1 curve)	0	3- 47+	2 3-  3 -3  5  2  6 -6
Curve Equation t 423e1 [0,0,1,-111,-171] 1
423a (1 curve)	1	3- 47-	0 3-  1 -3  3 -4 -8 -6
Curve Equation t Generators 423a1 [0,0,1,-12,4] 1 [-2:4:1]
423c (4 curves)	1	3- 47-	1 3- -2  0 -4 -2 -2  0
Curve Equation t Generators 423c1 [1,-1,0,-18,-81] 2 [18:63:1] 423c2 [1,-1,0,-423,-3240] 4 [1716:70206:1] 423c3 [1,-1,0,-6768,-212625] 2 [13734:561393:8] 423c4 [1,-1,0,-558,-891] 4 [-12:69:1]
423f (1 curve)	1	3- 47-	-2 3-  1 -3 -1 -2 -2  6
Curve Equation t Generators 423f1 [0,0,1,-237,1404] 1 [8:4:1]

Data from Elliptic Curve Data by J. E. Cremona.
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