Magma V2.11-1 Thu Jul 29 2004 13:49:09 [Seed = 4055468118] 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, 0, 4, 0 ] rE= 0 LE= 0.6555000001 aInvariantsF= [ 0, 0, 0, 196, 0 ] rF= 1 LF= 2.9620000002 N = 32 D = -7 is divisible by only prime, so excluding that prime from B.. IsogenousCurves=[[ 0, 0, 0, -1, 0 ],[ 0, 0, 0, -11, 14 ],[ 0, 0, 0, -11, -14 ],[ 0, 0, 0, 4, 0 ]] torK= [ 4, 4, 2, 4 ] eps_E= 1 MordellWeilF= [ 2, 20, 1 ] omega_E= 6.87518581802037282749009577973 Rounding... error in index computation: 0.000060733407735824584960 quotient = 0.9999392665 Index= 1 B= 28 Obtained the bound 14 in 0.661 seconds. -8 fails Heegner since is not coprime to conductor. -11 fails Heegner since not every prime dividing conductor splits Using Kolyvagin theorem on D = -15 aInvariantsE= [ 0, 0, 0, 4, 0 ] rE= 0 LE= 0.6555000001 aInvariantsF= [ 0, 0, 0, 900, 0 ] rF= 1 LF= 4.03900000080 N = 32 IsogenousCurves=[[ 0, 0, 0, -1, 0 ],[ 0, 0, 0, -11, 14 ],[ 0, 0, 0, -11, -14 ],[ 0, 0, 0, 4, 0 ]] torK= [ 4, 4, 2, 4 ] eps_E= 1 MordellWeilF= [ 10, 100, 1 ] omega_E= 6.87518581802037282749009577973 Rounding... error in index computation: 0.0002732835710 quotient = 4.0002732835710 Index= 2 B= 4 Obtained the bound 2 in 0.641 seconds. B{2}B, B1{14}B1, B2{2}B2, D1{-7}D1, D2{-15}D2, F1{[ 0, 0, 0, 196, 0 ]}F1, z1{[ 2, 20, 1 ]}z1, h1{1.49444075380167018529}h1, F2{[ 0, 0, 0, 900, 0 ]}F2, z2{[ 10, 100, 1 ]}z2, h2{0.74567240595981343354}h2 Total time: 1.820 seconds, Total memory usage: 8.57MB