Magma V2.11-1     Thu Jul 29 2004 13:48:59    [Seed = 2580668448]
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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, 0, 1, 0, -7 ]
rE= 0
LE= 0.5889000000
aInvariantsF= [ 0, 0, 0, 0, 54 ]
rF= 1
LF= 2.9199999999
N =  27
D = -8  is divisible by only prime, so excluding that prime from B..
IsogenousCurves=[[ 0, 0, 1, 0, 0 ],[ 0, 0, 1, -30, 63 ],[ 0, 0, 1, 0, -7 ],[ 0, 0, 1, -270, -1708 ]]
torK= [ 3, 3, 3, 1 ]
eps_E= 1
MordellWeilF= [ 3, 9, 1 ]
omega_E= 5.405752176041796427230868680203
Rounding... error in index computation:  0.00006365217268
quotient =  4.00006365217268
Index= 2
B=  6
Obtained the bound  6  in  0.67  seconds.
Using Kolyvagin theorem on D = -11
aInvariantsE= [ 0, 0, 1, 0, -7 ]
rE= 0
LE= 0.5889000000
aInvariantsF= [ 0, 0, 1, 0, 8984 ]
rF= 1
LF= 2.9000000003
N =  27
D = -11  is divisible by only prime, so excluding that prime from B..
IsogenousCurves=[[ 0, 0, 1, 0, 0 ],[ 0, 0, 1, -30, 63 ],[ 0, 0, 1, 0, -7 ],[ 0, 0, 1, -270, -1708 ]]
torK= [ 3, 3, 3, 1 ]
eps_E= 1
MordellWeilF= [ 66, 544, 1 ]
omega_E= 5.405752176041796427230868680203
Rounding... error in index computation:  0.00021006260067224502563
quotient =  3.9997899373
Index= 2
B=  66
Obtained the bound  66  in  0.809  seconds.
B{6}B, B1{6}B1, B2{66}B2, D1{-8}D1, D2{-11}D2, F1{[ 0, 0, 0, 0, 54 ]}F1, z1{[ 3, 9, 1 ]}z1, h1{0.44985894522670610840}h1, F2{[ 0, 0, 1, 0, 8984 ]}F2, z2{[ 66, 544, 1 ]}z2, h2{0.52392916562839220162}h2
Total time: 1.909 seconds, Total memory usage: 8.59MB