Magma V2.11-1     Thu Jul 29 2004 13:49:28    [Seed = 3836517758]
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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
-15  fails Heegner since is not coprime to conductor.
-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= [ 0, 0, 0, 0, 1 ]
rE= 0
LE= 0.7010999999
aInvariantsF= [ 0, 0, 0, 0, -12167 ]
rF= 1
LF= 5.9389999993
N =  36
D = -23  is divisible by only prime, so excluding that prime from B..
IsogenousCurves=[[ 0, 0, 0, 0, 1 ],[ 0, 0, 0, -15, 22 ],[ 0, 0, 0, 0, -27 ],[ 0, 0, 0, -135, -594 ]]
torK= [ 6, 6, 2, 2 ]
eps_E= 1
MordellWeilF= [ 3588, -25921, 64 ]
omega_E= 10.216231435665113070244389011337
Rounding... error in index computation:  0.00007143290713
quotient =  1.00007143290713
Index= 1
B=  138
Obtained the bound  138  in  0.79  seconds.
-24  fails Heegner since is not coprime to conductor.
-31  fails Heegner since not every prime dividing conductor splits
-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
-43  fails Heegner since not every prime dividing conductor splits
Using Kolyvagin theorem on D = -47
aInvariantsE= [ 0, 0, 0, 0, 1 ]
rE= 0
LE= 0.7010999999
aInvariantsF= [ 0, 0, 0, 0, -103823 ]
rF= 1
LF= 3.8909999998
N =  36
D = -47  is divisible by only prime, so excluding that prime from B..
IsogenousCurves=[[ 0, 0, 0, 0, 1 ],[ 0, 0, 0, -15, 22 ],[ 0, 0, 0, 0, -27 ],[ 0, 0, 0, -135, -594 ]]
torK= [ 6, 6, 2, 2 ]
eps_E= 1
MordellWeilF= [ 7896, -134749, 27 ]
omega_E= 10.216231435665113070244389011337
Rounding... error in index computation:  0.000095676165074110031127
quotient =  0.9999043238
Index= 1
B=  282
Obtained the bound  282  in  0.63  seconds.
B{6}B, B1{138}B1, B2{282}B2, D1{-23}D1, D2{-47}D2, F1{[ 0, 0, 0, 0, -12167 ]}F1, z1{[ 3588, -25921, 64 ]}z1, h1{3.90899811755237536203}h1, F2{[ 0, 0, 0, 0, -103823 ]}F2, z2{[ 7896, -134749, 27 ]}z2, h2{3.66160045366555131352}h2
Total time: 2.090 seconds, Total memory usage: 8.67MB