Cremona's table of elliptic curves

31768 = 2³ · 11 · 19²

Class	r	Atkin-Lehner	Eigenvalues
31768a (1 curve)	1	2+ 11+ 19+	2+  1  3 -4 11+  1  1 19+
Curve Equation t Generators 31768a1 [0,1,0,-16004,-734167] 1 [-64:179:1]
31768b (1 curve)	0	2+ 11- 19+	2+  1 -1  0 11-  5  5 19+
Curve Equation t 31768b1 [0,1,0,-345236,-70695967] 1
31768c (1 curve)	1	2+ 11- 19-	2+  2  0  2 11-  5  2 19-
Curve Equation t Generators 31768c1 [0,-1,0,-1086008,-435614836] 1 [2753234147320178708021635606481057804570096812368966525378483304716752014511645:-566288289029421794640342220126163366611511388779921540773070174112119383848345414:65039656524946022210235484481915218310863980890608307800150318211539880237]
31768d (4 curves)	1	2- 11+ 19-	2-  0 -2 -4 11+ -2  2 19-
Curve Equation t Generators 31768d1 [0,0,0,-25631,1577570] 4 [77:246:1] 31768d2 [0,0,0,-32851,617310] 4 [-87:22960:27] 31768d3 [0,0,0,125989,4842454] 2 [4813890:187497674:3375] 31768d4 [0,0,0,-307211,-65064474] 2 [-23573046:50891455:74088]
31768e (1 curve)	1	2- 11+ 19-	2- -1  2 -3 11+  1 -7 19-
Curve Equation t Generators 31768e1 [0,-1,0,-1874432,-990931028] 1 [21921567654:-1884916691779:2863288]
31768f (1 curve)	1	2- 11+ 19-	2- -1  3 -4 11+ -1  1 19-
Curve Equation t Generators 31768f1 [0,-1,0,-44,121] 1 [0:11:1]
31768g (1 curve)	1	2- 11+ 19-	2- -1 -3  2 11+ -4 -2 19-
Curve Equation t Generators 31768g1 [0,-1,0,-222857,41058589] 1 [279:722:1]
31768h (1 curve)	1	2- 11+ 19-	2-  3 -3 -2 11+  0 -6 19-
Curve Equation t Generators 31768h1 [0,0,0,-1444,-27436] 1 [12540:269306:27]
31768i (1 curve)	1	2- 11- 19+	2- -2  0  2 11- -5  2 19+
Curve Equation t Generators 31768i1 [0,1,0,-3008,62560] 1 [31:8:1]
31768j (1 curve)	2	2- 11- 19-	2- -1 -1  0 11- -5  5 19-
Curve Equation t Generators 31768j1 [0,-1,0,-956,10609] 1 [-28:121:1]&[5:77:1]

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