Magma V2.11-1     Thu Jul 29 2004 13:48:28    [Seed = 1477452038]
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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= [ 0, 1, 1, -9, -15 ]
rE= 0
LE= 0.4533000000
aInvariantsF= [ 0, 1, 0, -37, 81 ]
rF= 1
LF= 1.7390000000
N =  19
D = -8  is divisible by only prime, so excluding that prime from B..
IsogenousCurves=[[ 0, 1, 1, 1, 0 ],[ 0, 1, 1, -9, -15 ],[ 0, 1, 1, -769, -8470 ]]
torK= [ 3, 3, 1 ]
eps_E= 1
MordellWeilF= [ 8, 19, 1 ]
omega_E= 5.61185405064307013752836332767
Rounding... error in index computation:  0.0003559291362
quotient =  4.0003559291362
Index= 2
B=  6
Obtained the bound  6  in  0.589  seconds.
-11  fails Heegner since not every prime dividing conductor splits
Using Kolyvagin theorem on D = -15
aInvariantsE= [ 0, 1, 1, -9, -15 ]
rE= 0
LE= 0.4533000000
aInvariantsF= [ 0, 0, 1, -2100, 39406 ]
rF= 1
LF= 3.09499999973
N =  19
IsogenousCurves=[[ 0, 1, 1, 1, 0 ],[ 0, 1, 1, -9, -15 ],[ 0, 1, 1, -769, -8470 ]]
torK= [ 3, 3, 1 ]
eps_E= 1
MordellWeilF= [ 34, 85, 1 ]
omega_E= 5.61185405064307013752836332767
Rounding... error in index computation:  0.00023949332535
quotient =  4.00023949332535
Index= 2
B=  6
Obtained the bound  6  in  0.8  seconds.
B{6}B, B1{6}B1, B2{6}B2, D1{-8}D1, D2{-15}D2, F1{[ 0, 1, 0, -37, 81 ]}F1, z1{[ 8, 19, 1 ]}z1, h1{0.19863477745692437181}h1, F2{[ 0, 0, 1, -2100, 39406 ]}F2, z2{[ 34, 85, 1 ]}z2, h2{0.48409392919028215729}h2
Total time: 1.830 seconds, Total memory usage: 8.64MB