Magma V2.11-1     Thu Jul 29 2004 13:49:20    [Seed = 3769145714]
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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 is not coprime to conductor.
-8  fails Heegner since not every prime dividing conductor splits
-8  fails Heegner since not every prime dividing conductor splits
-11  fails Heegner since not every prime dividing conductor splits
-15  fails Heegner since is not coprime to conductor.
Using Kolyvagin theorem on D = -19
aInvariantsE= [ 0, 1, 1, 9, 1 ]
rE= 0
LE= 0.7028999999
aInvariantsF= [ 0, -1, 1, 3129, 10452 ]
rF= 1
LF= 2.15299999993
N =  35
D = -19  is divisible by only prime, so excluding that prime from B..
IsogenousCurves=[[ 0, 1, 1, -1, 0 ],[ 0, 1, 1, 9, 1 ],[ 0, 1, 1, -131, -650 ]]
torK= [ 3, 3, 1 ]
eps_E= 1
MordellWeilF= [ 108, 1263, 1 ]
omega_E= 4.64985121338595218234180492091
Rounding... error in index computation:  0.0003308672457
quotient =  4.0003308672457
Index= 2
B=  114
Obtained the bound  114  in  1.821  seconds.
-20  fails Heegner since is not coprime to conductor.
-23  fails Heegner since not every prime dividing conductor splits
-23  fails Heegner since not every prime dividing conductor splits
Using Kolyvagin theorem on D = -24
aInvariantsE= [ 0, 1, 1, 9, 1 ]
rE= 0
LE= 0.7028999999
aInvariantsF= [ 0, 0, 0, 312, 362 ]
rF= 1
LF= 4.2780000008
N =  35
IsogenousCurves=[[ 0, 1, 1, -1, 0 ],[ 0, 1, 1, 9, 1 ],[ 0, 1, 1, -131, -650 ]]
torK= [ 3, 3, 1 ]
eps_E= 1
MordellWeilF= [ -1, 7, 1 ]
omega_E= 4.64985121338595218234180492091
Rounding... error in index computation:  0.000079252757132053375244
quotient =  3.9999207472
Index= 2
B=  6
Obtained the bound  6  in  0.571  seconds.
B{6}B, B1{114}B1, B2{6}B2, D1{-19}D1, D2{-24}D2, F1{[ 0, -1, 1, 3129, 10452 ]}F1, z1{[ 108, 1263, 1 ]}z1, h1{0.70926642056852440276}h1, F2{[ 0, 0, 0, 312, 362 ]}F2, z2{[ -1, 7, 1 ]}z2, h2{1.58408870338117857556}h2
Total time: 2.850 seconds, Total memory usage: 8.60MB