Cremona's table of elliptic curves

20727 = 3² · 7² · 47

Class	r	Atkin-Lehner	Eigenvalues
20727a (1 curve)	2	3+ 7- 47+	0 3+ -2 7-  1 -2 -3 -7
Curve Equation t Generators 20727a1 [0,0,1,-2646,67142] 1 [-14:318:1]&[30:121:1]
20727b (1 curve)	0	3+ 7- 47+	2 3+  0 7-  5 -6  3  3
Curve Equation t 20727b1 [0,0,1,105,1433] 1
20727c (1 curve)	0	3+ 7- 47+	2 3+ -3 7- -3  0  0  4
Curve Equation t 20727c1 [0,0,1,-3969,94925] 1
20727d (1 curve)	0	3+ 7- 47+	-2 3+  0 7- -5  6  3 -3
Curve Equation t 20727d1 [0,0,1,46305,13273328] 1
20727e (1 curve)	1	3+ 7- 47-	0 3+  2 7- -1 -2  3 -7
Curve Equation t Generators 20727e1 [0,0,1,-294,-2487] 1 [21:24:1]
20727f (1 curve)	1	3+ 7- 47-	2 3+  0 7-  5  6 -3 -3
Curve Equation t Generators 20727f1 [0,0,1,5145,-491605] 1 [498:2111:8]
20727g (1 curve)	1	3+ 7- 47-	-2 3+  0 7- -5 -6 -3  3
Curve Equation t Generators 20727g1 [0,0,1,945,-38698] 1 [72:634:1]
20727h (1 curve)	1	3+ 7- 47-	-2 3+  3 7-  3  0  0  4
Curve Equation t Generators 20727h1 [0,0,1,-441,-3516] 1 [-13:4:1]
20727i (1 curve)	0	3- 7+ 47+	0 3- -2 7+  2 -1  0 -5
Curve Equation t 20727i1 [0,0,1,-34986,-20720030] 1
20727j (1 curve)	1	3- 7- 47+	0 3- -1 7-  3  4  8  6
Curve Equation t Generators 20727j1 [0,0,1,-588,-1458] 1 [-10:58:1]
20727k (4 curves)	1	3- 7- 47+	1 3-  2 7- -4  2  2  0
Curve Equation t Generators 20727k1 [1,-1,0,-891,29560] 2 [-12:202:1] 20727k2 [1,-1,0,-20736,1152787] 4 [1038:5851:8] 20727k3 [1,-1,0,-27351,360310] 2 [159990:165887:1000] 20727k4 [1,-1,0,-331641,73593652] 2 [464:4178:1]
20727l (1 curve)	1	3- 7- 47+	-2 3- -1 7- -1  2  2 -6
Curve Equation t Generators 20727l1 [0,0,1,-11613,-481658] 1 [-62:4:1]
20727m (1 curve)	1	3- 7- 47+	-2 3-  4 7- -1  2 -3 -1
Curve Equation t Generators 20727m1 [0,0,1,-911253,932601136] 1 [35:30012:1]
20727n (1 curve)	0	3- 7- 47-	0 3-  2 7-  2  1  0  5
Curve Equation t 20727n1 [0,0,1,-714,60408] 1
20727o (2 curves)	2	3- 7- 47-	1 3-  0 7-  0 -6 -6 -2
Curve Equation t Generators 20727o1 [1,-1,0,-3537,-114696] 2 [156:1686:1]&[396:7578:1] 20727o2 [1,-1,0,-63072,-6080103] 2 [-144:99:1]&[2382:8511:8]
20727p (4 curves)	0	3- 7- 47-	1 3-  2 7-  0 -2  2  4
Curve Equation t 20727p1 [1,-1,0,-27351,-1734048] 2 20727p2 [1,-1,0,-29556,-1436373] 4 20727p3 [1,-1,0,-168471,25485354] 2 20727p4 [1,-1,0,74079,-9333360] 2
20727q (2 curves)	0	3- 7- 47-	1 3- -2 7-  2 -4  6  2
Curve Equation t 20727q1 [1,-1,0,703827,89192704] 2 20727q2 [1,-1,0,-3046878,742565515] 2
20727r (1 curve)	0	3- 7- 47-	1 3-  3 7- -3  6  6 -8
Curve Equation t 20727r1 [1,-1,0,108477,-13717782] 1
20727s (2 curves)	0	3- 7- 47-	-1 3-  4 7- -2  0  6  4
Curve Equation t 20727s1 [1,-1,1,2857,-26386] 2 20727s2 [1,-1,1,-12578,-211606] 2
20727t (1 curve)	0	3- 7- 47-	2 3- -3 7-  5 -2 -6  6
Curve Equation t 20727t1 [0,0,1,-5439,58567] 1
20727u (1 curve)	2	3- 7- 47-	-2 3-  0 7- -3 -6  3 -5
Curve Equation t Generators 20727u1 [0,0,1,-91875,10722780] 1 [-175:4630:1]&[168:171:1]

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