Magma V2.16-7 Fri Oct 8 2010 15:13:23 on selmer [Seed = 284392298] Type ? for help. Type -D to quit. Loading "upperbounds.m" Bound for the S-reg 418153357322258949701.585284129 S-unit rank 20 bound for this kappa 3.05143541682508762480970581697E256 ==================== Bound for the S-reg 8.19981400867115204587733117615E49 S-unit rank 28 bound for this kappa 3.13958456118959466899730496904E432 ==================== Bound for the S-reg 1.56921253053498606123179935677E50 S-unit rank 32 bound for this kappa 7.01906428506683977780719744374E477 ==================== Bound for the S-reg 8.19981400867115204587733117615E49 S-unit rank 28 bound for this kappa 3.13958456118959466899730496904E432 ==================== Time: 30.440 If P=(x,y) is an S-integral point of C, then h(x) is at most 7.01906428506683977780719744374E477 Loading "heightdifference.m" first upper bound for the coefficients of the linear form 1.56324478435153493792063825572E239 Loading "magmaperiods1.m" Precision attained in 12 steps. Precision required attained in 12 steps. Precision required attained in 12 steps. second upper bound for the coefficients of the linear form 89 third upper bound for the coefficients of the linear form 9 fourth upper bound for the coefficients of the linear form 7 rational points below the bound 7 are [ (x - 9/4, -59/32, 1), (x, 1, 1), (x + 1, -1, 1), (x + 1, 1, 1), (x, -1, 1), (x - 9/4, 59/32, 1) ] {@ (1 : 0 : 0), (-1 : -1 : 1), (-1 : 1 : 1), (0 : -1 : 1), (0 : 1 : 1) @} Total time: 153.370 seconds, Total memory usage: 98.31MB