Magma V2.11-1 Thu Jul 29 2004 13:49:32 [Seed = 3953365621] Type ? for help. Type -D to quit. Loading startup file "/home/was/magma/local/init.m" -3 fails Heegner since is -3 or -4. -4 fails Heegner since is -3 or -4. Using Kolyvagin theorem on D = -7 aInvariantsE= [ 0, 0, 1, -1, 0 ] rE= 1 LE= 0.3059999999 aInvariantsF= [ 0, 0, 1, -49, -86 ] rF= 0 LF= 1.8530000001 N = 37 D = -7 is divisible by only prime, so excluding that prime from B.. IsogenousCurves=[[ 0, 0, 1, -1, 0 ]] torK= [ 1 ] eps_E= -1 MordellWeilF= [ 0, 0, 1 ] omega_E= 14.67626548157915347814144200656 Rounding... error in index computation: 0.00016151089221239089965 quotient = 3.9998384891 Index= 2 B= 14 Obtained the bound 14 in 0.319 seconds. -8 fails Heegner since not every prime dividing conductor splits Using Kolyvagin theorem on D = -11 aInvariantsE= [ 0, 0, 1, -1, 0 ] rE= 1 LE= 0.3059999999 aInvariantsF= [ 0, 0, 1, -121, -333 ] rF= 0 LF= 1.4780000001 N = 37 D = -11 is divisible by only prime, so excluding that prime from B.. IsogenousCurves=[[ 0, 0, 1, -1, 0 ]] torK= [ 1 ] eps_E= -1 MordellWeilF= [ 0, 0, 1 ] omega_E= 14.67626548157915347814144200656 Rounding... error in index computation: 0.00065571255981922149658 quotient = 3.9993442874 Index= 2 B= 22 Obtained the bound 22 in 0.189 seconds. B{2}B, B1{14}B1, B2{22}B2, D1{-7}D1, D2{-11}D2, F1{[ 0, 0, 1, -49, -86 ]}F1, z1{[ 0, 0, 1 ]}z1, h1{0.051111408239968840472}h1, F2{[ 0, 0, 1, -121, -333 ]}F2, z2{[ 0, 0, 1 ]}z2, h2{0.051111408239968840472}h2 Total time: 0.949 seconds, Total memory usage: 8.17MB