Magma V2.11-1 Thu Jul 29 2004 13:49:34 [Seed = 3902837109] 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. -7 fails Heegner since not every prime dividing conductor splits -8 fails Heegner since is not coprime to conductor. -11 fails Heegner since not every prime dividing conductor splits -11 fails Heegner since not every prime dividing conductor splits Using Kolyvagin theorem on D = -15 aInvariantsE= [ 1, 0, 1, 9, 90 ] rE= 0 LE= 0.6302000000 aInvariantsF= [ 1, -1, 0, 2133, -302459 ] rF= 1 LF= 3.5060000000 N = 38 IsogenousCurves=[[ 1, 0, 1, -16, 22 ],[ 1, 0, 1, 9, 90 ],[ 1, 0, 1, -86, -2456 ]] torK= [ 3, 3, 1 ] eps_E= 1 MordellWeilF= [ 189, 2518, 1 ] omega_E= 2.273726799826956198623143919871 Rounding... error in index computation: 0.00050459615886211395263 quotient = 3.9994954038 Index= 2 B= 6 Obtained the bound 6 in 5.04 seconds. B{6}B, B1{6}B1, B2{6}B2, D1{-15}D1, D2{-15}D2, F1{[ 1, -1, 0, 2133, -302459 ]}F1, z1{[ 189, 2518, 1 ]}z1, h1{1.88201228049538071829}h1, F2{[ 1, -1, 0, 2133, -302459 ]}F2, z2{[ 189, 2518, 1 ]}z2, h2{1.88201228049538071829}h2 Total time: 5.539 seconds, Total memory usage: 7.97MB