Cremona's table of elliptic curves

16731 = 3² · 11 · 13²

Class	r	Atkin-Lehner	Eigenvalues
16731a (2 curves)	1	3+ 11+ 13+	-1 3+  2  2 11+ 13+  4 -6
Curve Equation t Generators 16731a1 [1,-1,1,24811,84087748] 2 [-970394:42012058:4913] 16731a2 [1,-1,1,-2735804,1705120876] 2 [-1112:58619:1]
16731b (2 curves)	1	3+ 11+ 13+	-1 3+ -4  2 11+ 13+ -2  6
Curve Equation t Generators 16731b1 [1,-1,1,-2567,9910] 2 [76:461:1] 16731b2 [1,-1,1,-25382,-1541510] 2 [-94:131:1]
16731c (2 curves)	0	3+ 11- 13+	1 3+ -2  2 11- 13+ -4 -6
Curve Equation t 16731c1 [1,-1,0,2757,-3115280] 2 16731c2 [1,-1,0,-303978,-63051299] 2
16731d (2 curves)	0	3+ 11- 13+	1 3+  4  2 11- 13+  2  6
Curve Equation t 16731d1 [1,-1,0,-285,-272] 2 16731d2 [1,-1,0,-2820,58033] 2
16731e (1 curve)	0	3- 11+ 13+	0 3- -1  2 11+ 13+  4 -2
Curve Equation t 16731e1 [0,0,1,-2028,127975] 1
16731f (1 curve)	0	3- 11+ 13+	0 3-  2 -1 11+ 13+ -2  4
Curve Equation t 16731f1 [0,0,1,171366,3805753] 1
16731g (1 curve)	0	3- 11+ 13+	0 3- -2 -3 11+ 13+ -2  4
Curve Equation t 16731g1 [0,0,1,-2478216,-1501730240] 1
16731h (6 curves)	0	3- 11+ 13+	-1 3- -2  0 11+ 13+  6  4
Curve Equation t 16731h1 [1,-1,1,-36536,-3846670] 2 16731h2 [1,-1,1,-652541,-202693084] 4 16731h3 [1,-1,1,-10440176,-12981429340] 2 16731h4 [1,-1,1,-720986,-157519384] 4 16731h5 [1,-1,1,-4576721,3650404502] 2 16731h6 [1,-1,1,2039629,-1075147810] 2
16731i (1 curve)	1	3- 11- 13+	0 3-  2  3 11- 13+ -2 -4
Curve Equation t Generators 16731i1 [0,0,1,-14664,-683537] 1 [1351:49450:1]
16731j (1 curve)	1	3- 11- 13+	0 3- -2  1 11- 13+ -2 -4
Curve Equation t Generators 16731j1 [0,0,1,1014,1732] 1 [16:148:1]
16731k (4 curves)	1	3- 11- 13+	1 3- -2 -4 11- 13+  2  0
Curve Equation t Generators 16731k1 [1,-1,0,-9918,379471] 2 [74:179:1] 16731k2 [1,-1,0,-17523,-276080] 4 [816:22576:1] 16731k3 [1,-1,0,-222858,-40398539] 2 [-276:307:1] 16731k4 [1,-1,0,66132,-2200145] 2 [407496:11848487:512]
16731l (2 curves)	1	3- 11- 13+	-1 3-  0  0 11- 13+  4  8
Curve Equation t Generators 16731l1 [1,-1,1,3010,-81012] 2 [266:4281:1] 16731l2 [1,-1,1,-19805,-801966] 2 [218:2172:1]
16731m (3 curves)	1	3- 11- 13+	-2 3-  1  2 11- 13+  2  0
Curve Equation t Generators 16731m1 [0,0,1,-507,-10436] 1 [299:5154:1] 16731m2 [0,0,1,-15717,1373674] 1 [104:929:1] 16731m3 [0,0,1,-11894727,15789916444] 1 [1991210:-331:1000]

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