Magma V2.11-1     Thu Jul 29 2004 13:48:39 on meccah3  [Seed = 291072070]
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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
-15  fails Heegner since not every prime dividing conductor splits
-19  fails Heegner since not every prime dividing conductor splits
-19  fails Heegner since not every prime dividing conductor splits
-20  fails Heegner since is not coprime to conductor.
Using Kolyvagin theorem on D = -23
aInvariantsE= [ 1, 0, 1, -5, -8 ]
rE= 0
LE= 0.5156000000
aInvariantsF= [ 1, 0, 1, -2392, 89518 ]
rF= 1
LF= 4.8809999991
N =  26
D = -23  is divisible by only prime, so excluding that prime from B..
IsogenousCurves=[[ 1, 0, 1, 0, 0 ],[ 1, 0, 1, -5, -8 ],[ 1, 0, 1, -460, -3830 ]]
torK= [ 3, 3, 1 ]
eps_E= 1
MordellWeilF= [ 44, 242, 1 ]
omega_E= 5.381604785493288701650905506846
Rounding... error in index computation:  0.0003473963588
quotient =  4.0003473963588
Index= 2
B=  138
Obtained the bound  138  in  1.329  seconds.
-24  fails Heegner since is not coprime to conductor.
-31  fails Heegner since rank of twist is too big.
-35  fails Heegner since not every prime dividing conductor splits
-39  fails Heegner since is not coprime to conductor.
-40  fails Heegner since is not coprime to conductor.
-43  fails Heegner since not every prime dividing conductor splits
-47  fails Heegner since not every prime dividing conductor splits
-51  fails Heegner since not every prime dividing conductor splits
-52  fails Heegner since is not coprime to conductor.
Using Kolyvagin theorem on D = -55
aInvariantsE= [ 1, 0, 1, -5, -8 ]
rE= 0
LE= 0.5156000000
aInvariantsF= [ 1, 1, 0, -13675, 1221125 ]
rF= 1
LF= 2.5820000004
N =  26
IsogenousCurves=[[ 1, 0, 1, 0, 0 ],[ 1, 0, 1, -5, -8 ],[ 1, 0, 1, -460, -3830 ]]
torK= [ 3, 3, 1 ]
eps_E= 1
MordellWeilF= [ 61, 756, 1 ]
omega_E= 5.381604785493288701650905506846
Rounding... error in index computation:  0.0007479637861
quotient =  4.0007479637861
Index= 2
B=  6
Obtained the bound  6  in  12.68  seconds.
B{6}B, B1{138}B1, B2{6}B2, D1{-23}D1, D2{-55}D2, F1{[ 1, 0, 1, -2392, 89518 ]}F1, z1{[ 44, 242, 1 ]}z1, h1{1.121259462540678875086}h1, F2{[ 1, 1, 0, -13675, 1221125 ]}F2, z2{[ 61, 756, 1 ]}z2, h2{0.91712280612075014474}h2
Total time: 14.870 seconds, Total memory usage: 8.77MB