Magma V2.11-1     Thu Jul 29 2004 13:49:34 on meccah3  [Seed = 1630083301]
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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.
Using Kolyvagin theorem on D = -7
aInvariantsE= [ 0, 1, 1, -23, -50 ]
rE= 0
LE= 0.7257000000
aInvariantsF= [ 0, -1, 1, -1143, 14790 ]
rF= 1
LF= 2.11099999956
N =  37
D = -7  is divisible by only prime, so excluding that prime from B..
IsogenousCurves=[[ 0, 1, 1, -3, 1 ],[ 0, 1, 1, -23, -50 ],[ 0, 1, 1, -1873, -31833 ]]
torK= [ 3, 3, 1 ]
eps_E= 1
MordellWeilF= [ 16, 18, 1 ]
omega_E= 3.84816476479479333580415879861
Rounding... error in index computation:  0.0006369575858
quotient =  4.0006369575858
Index= 2
B=  42
Obtained the bound  42  in  0.46  seconds.
-8  fails Heegner since not every prime dividing conductor splits
Using Kolyvagin theorem on D = -11
aInvariantsE= [ 0, 1, 1, -23, -50 ]
rE= 0
LE= 0.7257000000
aInvariantsF= [ 0, 1, 1, -2823, 54973 ]
rF= 1
LF= 3.6569999996
N =  37
D = -11  is divisible by only prime, so excluding that prime from B..
IsogenousCurves=[[ 0, 1, 1, -3, 1 ],[ 0, 1, 1, -23, -50 ],[ 0, 1, 1, -1873, -31833 ]]
torK= [ 3, 3, 1 ]
eps_E= 1
MordellWeilF= [ 19, 92, 1 ]
omega_E= 3.84816476479479333580415879861
Rounding... error in index computation:  0.0003331210464
quotient =  4.0003331210464
Index= 2
B=  66
Obtained the bound  66  in  0.469  seconds.
B{6}B, B1{42}B1, B2{66}B2, D1{-7}D1, D2{-11}D2, F1{[ 0, -1, 1, -1143, 14790 ]}F1, z1{[ 16, 18, 1 ]}z1, h1{0.52655236841636909872}h1, F2{[ 0, 1, 1, -2823, 54973 ]}F2, z2{[ 19, 92, 1 ]}z2, h2{1.14355907486379004822}h2
Total time: 1.399 seconds, Total memory usage: 8.62MB