Cremona's table of elliptic curves

22743 = 3² · 7 · 19²

Class	r	Atkin-Lehner	Eigenvalues
22743a (2 curves)	1	3+ 7+ 19+	1 3+  2 7+  2  2 -6 19+
Curve Equation t Generators 22743a1 [1,-1,0,-96,1547] 2 [-186:1253:27] 22743a2 [1,-1,0,-2661,53360] 2 [-32:340:1]
22743b (2 curves)	1	3+ 7+ 19+	1 3+ -2 7+ -2 -2  6 19+
Curve Equation t Generators 22743b1 [1,-1,0,-3858,387855] 2 [3046:166533:1] 22743b2 [1,-1,0,-106743,13413096] 2 [180:-6:1]
22743c (2 curves)	1	3+ 7+ 19+	-1 3+  2 7+  2 -2 -6 19+
Curve Equation t Generators 22743c1 [1,-1,1,-34724,-10437362] 2 [13365760143384:-27323351212013:49148555247] 22743c2 [1,-1,1,-960689,-361192904] 2 [-29863736:10144592:50653]
22743d (2 curves)	1	3+ 7+ 19+	-1 3+ -2 7+ -2  2  6 19+
Curve Equation t Generators 22743d1 [1,-1,1,-11,-54] 2 [6:5:1] 22743d2 [1,-1,1,-296,-1878] 2 [-10:6:1]
22743e (1 curve)	0	3+ 7- 19+	1 3+  3 7- -1  6  1 19+
Curve Equation t 22743e1 [1,-1,0,-3858,127213] 1
22743f (1 curve)	0	3+ 7- 19+	-1 3+ -3 7-  1  6 -1 19+
Curve Equation t 22743f1 [1,-1,1,-34724,-3400028] 1
22743g (2 curves)	1	3+ 7- 19-	1 3+  0 7- -2  6  8 19-
Curve Equation t Generators 22743g1 [1,-1,0,-185802,-30747673] 2 [20586459850:560977078383:20796875] 22743g2 [1,-1,0,-137067,-47288332] 2 [873796:15609552:1331]
22743h (1 curve)	1	3+ 7- 19-	1 3+ -3 7-  1 -6 -1 19-
Curve Equation t Generators 22743h1 [1,-1,0,-96,521] 1 [-8:31:1]
22743i (2 curves)	1	3+ 7- 19-	-1 3+  0 7-  2  6 -8 19-
Curve Equation t Generators 22743i1 [1,-1,1,-20645,1145684] 2 [78:34:1] 22743i2 [1,-1,1,-15230,1756496] 2 [-128:1327:1]
22743j (1 curve)	1	3+ 7- 19-	-1 3+  3 7- -1 -6  1 19-
Curve Equation t Generators 22743j1 [1,-1,1,-11,-16] 1 [6:7:1]
22743k (2 curves)	0	3- 7+ 19+	1 3-  4 7+  4 -2  0 19+
Curve Equation t 22743k1 [1,-1,0,-495,-1512] 2 22743k2 [1,-1,0,-6480,-199017] 2
22743l (2 curves)	0	3- 7+ 19+	-1 3-  4 7+  4  2  0 19+
Curve Equation t 22743l1 [1,-1,1,-178763,11264514] 2 22743l2 [1,-1,1,-2339348,1376754234] 2
22743m (2 curves)	1	3- 7+ 19-	1 3-  0 7+  2  4  4 19-
Curve Equation t Generators 22743m1 [1,-1,0,-683982,-65267937] 2 [-1594:64333:8] 22743m2 [1,-1,0,-6256017,5975932410] 2 [18524242:-209983897:10648]
22743n (6 curves)	1	3- 7+ 19-	-1 3-  2 7+ -4  2  6 19-
Curve Equation t Generators 22743n1 [1,-1,1,3181,-16014] 2 [20470:265737:125] 22743n2 [1,-1,1,-13064,-119982] 4 [-28:486:1] 22743n3 [1,-1,1,-126779,17301156] 2 [-52:4899:1] 22743n4 [1,-1,1,-159269,-24390012] 4 [-77833:95985:343] 22743n5 [1,-1,1,-110534,-39634320] 2 [4030:43467:8] 22743n6 [1,-1,1,-2547284,-1564182084] 2 [-376323616270:188587281231:408518488]
22743o (2 curves)	1	3- 7+ 19-	-1 3- -4 7+  2 -4  0 19-
Curve Equation t Generators 22743o1 [1,-1,1,-1400387,638139570] 2 [2228:91482:1] 22743o2 [1,-1,1,-1514102,528518310] 2 [-223:29352:1]
22743p (2 curves)	0	3- 7- 19-	-1 3-  0 7-  2  0  4 19-
Curve Equation t 22743p1 [1,-1,1,-42305,-3026032] 2 22743p2 [1,-1,1,-156020,20444744] 2

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