Magma V2.11-1     Thu Jul 29 2004 13:48:19    [Seed = 1511138059]
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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
-7  fails Heegner since not every prime dividing conductor splits
-8  fails Heegner since not every prime dividing conductor splits
Using Kolyvagin theorem on D = -11
aInvariantsE= [ 1, 1, 1, -10, -10 ]
rE= 0
LE= 0.3501999999
aInvariantsF= [ 1, 1, 0, -1212, 7011 ]
rF= 1
LF= 3.20700000040
N =  15
D = -11  is divisible by only prime, so excluding that prime from B..
IsogenousCurves=[[ 1, 1, 1, 0, 0 ],[ 1, 1, 1, -5, 2 ],[ 1, 1, 1, -80, 242 ],[ 1, 1, 1, -10, -10 ],[ 1, 1, 1, 35, -28 ],[ 1, 1, 1, -135, -660 ],[ 1, 1, 1, -2160, -39540 ],[ 1, 1, 1, -110, -880 ]]
torK= [ 4, 8, 4, 8, 8, 4, 2, 2 ]
eps_E= 1
MordellWeilF= [ 42, 159, 1 ]
omega_E= 4.471403425235058203533485564230
Rounding... error in index computation:  0.000007618684321
quotient =  1.000007618684321
Index= 1
B=  88
Obtained the bound  22  in  1.381  seconds.
-15  fails Heegner since is not coprime to conductor.
-19  fails Heegner since not every prime dividing conductor splits
-20  fails Heegner since is not coprime to conductor.
-23  fails Heegner since not every prime dividing conductor splits
-24  fails Heegner since is not coprime to conductor.
-31  fails Heegner since not every prime dividing conductor splits
-35  fails Heegner since is not coprime to conductor.
-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
-47  fails Heegner since not every prime dividing conductor splits
-51  fails Heegner since is not coprime to conductor.
-52  fails Heegner since not every prime dividing conductor splits
-52  fails Heegner since not every prime dividing conductor splits
-55  fails Heegner since is not coprime to conductor.
Using Kolyvagin theorem on D = -56
aInvariantsE= [ 1, 1, 1, -10, -10 ]
rE= 0
LE= 0.3501999999
aInvariantsF= [ 0, -1, 0, -31425, 1002177 ]
rF= 1
LF= 5.8660000003
N =  15
IsogenousCurves=[[ 1, 1, 1, 0, 0 ],[ 1, 1, 1, -5, 2 ],[ 1, 1, 1, -80, 242 ],[ 1, 1, 1, -10, -10 ],[ 1, 1, 1, 35, -28 ],[ 1, 1, 1, -135, -660 ],[ 1, 1, 1, -2160, -39540 ],[ 1, 1, 1, -110, -880 ]]
torK= [ 4, 8, 4, 8, 8, 4, 2, 2 ]
eps_E= 1
MordellWeilF= [ 609, -14400, 1 ]
omega_E= 4.471403425235058203533485564230
Rounding... error in index computation:  0.0005036164075
quotient =  4.0005036164075
Index= 2
B=  8
Obtained the bound  2  in  1.721  seconds.
B{2}B, B1{22}B1, B2{2}B2, D1{-11}D1, D2{-56}D2, F1{[ 1, 1, 0, -1212, 7011 ]}F1, z1{[ 42, 159, 1 ]}z1, h1{1.66607395687729953337}h1, F2{[ 0, -1, 0, -31425, 1002177 ]}F2, z2{[ 609, -14400, 1 ]}z2, h2{1.71879343746629786870}h2
Total time: 3.799 seconds, Total memory usage: 9.40MB