Magma V2.11-1     Thu Jul 29 2004 13:48:25    [Seed = 1527980544]
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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
Using Kolyvagin theorem on D = -8
aInvariantsE= [ 1, -1, 1, -1, -14 ]
rE= 0
LE= 0.3867999999
aInvariantsF= [ 0, 0, 0, -44, 7120 ]
rF= 1
LF= 2.5250000003
N =  17
D = -8  is divisible by only prime, so excluding that prime from B..
IsogenousCurves=[[ 1, -1, 1, -1, 0 ],[ 1, -1, 1, -6, -4 ],[ 1, -1, 1, -91, -310 ],[ 1, -1, 1, -1, -14 ]]
torK= [ 4, 4, 2, 4 ]
eps_E= 1
MordellWeilF= [ -3, 85, 1 ]
omega_E= 4.247877398129966161111436139065
Rounding... error in index computation:  0.00006736395880
quotient =  1.00006736395880
Index= 1
B=  4
Obtained the bound  2  in  0.769  seconds.
-11  fails Heegner since not every prime dividing conductor splits
Using Kolyvagin theorem on D = -15
aInvariantsE= [ 1, -1, 1, -1, -14 ]
rE= 0
LE= 0.3867999999
aInvariantsF= [ 1, -1, 1, -155, 46972 ]
rF= 1
LF= 1.9589999997
N =  17
IsogenousCurves=[[ 1, -1, 1, -1, 0 ],[ 1, -1, 1, -6, -4 ],[ 1, -1, 1, -91, -310 ],[ 1, -1, 1, -1, -14 ]]
torK= [ 4, 4, 2, 4 ]
eps_E= 1
MordellWeilF= [ -16, 220, 1 ]
omega_E= 4.247877398129966161111436139065
Rounding... error in index computation:  0.0006640590727
quotient =  4.0006640590727
Index= 2
B=  4
Obtained the bound  2  in  0.83  seconds.
B{2}B, B1{2}B1, B2{2}B2, D1{-8}D1, D2{-15}D2, F1{[ 0, 0, 0, -44, 7120 ]}F1, z1{[ -3, 85, 1 ]}z1, h1{1.30053369397110918370}h1, F2{[ 1, -1, 1, -155, 46972 ]}F2, z2{[ -16, 220, 1 ]}z2, h2{0.34537624851203485576}h2
Total time: 2.069 seconds, Total memory usage: 8.77MB