Magma V2.11-1     Thu Jul 29 2004 13:49:39 on meccah3  [Seed = 1731141374]
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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
-7  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.
-19  fails Heegner since not every prime dividing conductor splits
-19  fails Heegner since not every prime dividing conductor splits
-20  fails Heegner since rank of twist is too big.
Using Kolyvagin theorem on D = -23
aInvariantsE= [ 1, 1, 0, -4, -5 ]
rE= 0
LE= 0.8267000000
aInvariantsF= [ 1, 1, 0, -2391, 37800 ]
rF= 1
LF= 4.3980000000
N =  39
D = -23  is divisible by only prime, so excluding that prime from B..
IsogenousCurves=[[ 1, 1, 0, 1, 0 ],[ 1, 1, 0, -4, -5 ],[ 1, 1, 0, -69, -252 ],[ 1, 1, 0, -19, 22 ]]
torK= [ 2, 4, 2, 4 ]
eps_E= 1
MordellWeilF= [ 9416, -15817, 512 ]
omega_E= 7.56118017170745696942431775692
Rounding... error in index computation:  0.000092797679826617240905
quotient =  0.9999072023
Index= 1
B=  92
Obtained the bound  46  in  0.609  seconds.
-24  fails Heegner since is not coprime to conductor.
-31  fails Heegner since not every prime dividing conductor splits
-31  fails Heegner since not every prime dividing conductor splits
Using Kolyvagin theorem on D = -35
aInvariantsE= [ 1, 1, 0, -4, -5 ]
rE= 0
LE= 0.8267000000
aInvariantsF= [ 1, 1, 1, -5538, 134406 ]
rF= 1
LF= 3.23000000044
N =  39
IsogenousCurves=[[ 1, 1, 0, 1, 0 ],[ 1, 1, 0, -4, -5 ],[ 1, 1, 0, -69, -252 ],[ 1, 1, 0, -19, 22 ]]
torK= [ 2, 4, 2, 4 ]
eps_E= 1
MordellWeilF= [ 6, -322, 1 ]
omega_E= 7.56118017170745696942431775692
Rounding... error in index computation:  0.00037438515573740005493
quotient =  3.9996256148
Index= 2
B=  4
Obtained the bound  2  in  0.58  seconds.
B{2}B, B1{46}B1, B2{2}B2, D1{-23}D1, D2{-35}D2, F1{[ 1, 1, 0, -2391, 37800 ]}F1, z1{[ 9416, -15817, 512 ]}z1, h1{4.61262122239435790049}h1, F2{[ 1, 1, 1, -5538, 134406 ]}F2, z2{[ 6, -322, 1 ]}z2, h2{1.044733569675329709625}h2
Total time: 1.859 seconds, Total memory usage: 8.87MB