Magma V2.11-1     Thu Jul 29 2004 13:49:17    [Seed = 4256531538]
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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, 0, -3, 1 ]
rE= 0
LE= 0.7493000000
aInvariantsF= [ 1, -1, 1, -680, -4053 ]
rF= 1
LF= 6.5720000006
N =  34
IsogenousCurves=[[ 1, 0, 0, -3, 1 ],[ 1, 0, 0, -43, 105 ],[ 1, 0, 0, -103, -411 ],[ 1, 0, 0, -113, -329 ]]
torK= [ 6, 6, 2, 2 ]
eps_E= 1
MordellWeilF= [ -7, -15, 1 ]
omega_E= 8.380703439707571444950414394920
Rounding... error in index computation:  0.0003257412463
quotient =  4.0003257412463
Index= 2
B=  6
Obtained the bound  6  in  0.699  seconds.
B{6}B, B1{6}B1, B2{6}B2, D1{-15}D1, D2{-15}D2, F1{[ 1, -1, 1, -680, -4053 ]}F1, z1{[ -7, -15, 1 ]}z1, h1{1.13776634341092619528}h1, F2{[ 1, -1, 1, -680, -4053 ]}F2, z2{[ -7, -15, 1 ]}z2, h2{1.13776634341092619528}h2
Total time: 1.189 seconds, Total memory usage: 8.13MB