Magma V2.11-1     Thu Jul 29 2004 13:48:34    [Seed = 1578510110]
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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
-11  fails Heegner since not every prime dividing conductor splits
-15  fails Heegner since is not coprime to conductor.
-19  fails Heegner since not every prime dividing conductor splits
Using Kolyvagin theorem on D = -20
aInvariantsE= [ 1, 0, 0, -4, -1 ]
rE= 0
LE= 0.4510999999
aInvariantsF= [ 0, 1, 0, -1608, 4788 ]
rF= 1
LF= 4.9389999993
N =  21
IsogenousCurves=[[ 1, 0, 0, 1, 0 ],[ 1, 0, 0, -4, -1 ],[ 1, 0, 0, -39, 90 ],[ 1, 0, 0, -49, -136 ],[ 1, 0, 0, -784, -8515 ],[ 1, 0, 0, -34, -217 ]]
torK= [ 4, 8, 8, 4, 2, 2 ]
eps_E= 1
MordellWeilF= [ -18, 168, 1 ]
omega_E= 6.89661543709701584508925813666
Rounding... error in index computation:  0.00012855790555477142333
quotient =  3.9998714420
Index= 2
B=  8
Obtained the bound  2  in  1.07  seconds.
B{2}B, B1{2}B1, B2{2}B2, D1{-20}D1, D2{-20}D2, F1{[ 0, 1, 0, -1608, 4788 ]}F1, z1{[ -18, 168, 1 ]}z1, h1{0.72239511990089966264}h1, F2{[ 0, 1, 0, -1608, 4788 ]}F2, z2{[ -18, 168, 1 ]}z2, h2{0.72239511990089966264}h2
Total time: 1.520 seconds, Total memory usage: 8.30MB