Magma V2.11-1     Thu Jul 29 2004 14:03:43 on meccah2  [Seed = 2228026931]
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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
-8  fails Heegner since is not coprime to conductor.
-11  fails Heegner since not every prime dividing conductor splits
-11  fails Heegner since not every prime dividing conductor splits
-15  fails Heegner since not every prime dividing conductor splits
-19  fails Heegner since not every prime dividing conductor splits
-19  fails Heegner since not every prime dividing conductor splits
-20  fails Heegner since is not coprime to conductor.
Using Kolyvagin theorem on D = -23
aInvariantsE= [ 1, -1, 1, -3, 3 ]
rE= 0
LE= 0.6210000000
aInvariantsF= [ 1, -1, 1, -1422, -31203 ]
rF= 1
LF= 4.5419999994
N =  26
D = -23  is divisible by only prime, so excluding that prime from B..
IsogenousCurves=[[ 1, -1, 1, -3, 3 ],[ 1, -1, 1, -213, -1257 ]]
torK= [ 7, 1 ]
eps_E= 1
MordellWeilF= [ 75, 491, 1 ]
omega_E= 7.84179903986269709097403546260
Rounding... error in index computation:  0.0003995820879
quotient =  4.0003995820879
Index= 2
B=  322
Obtained the bound  322  in  0.711  seconds.
-24  fails Heegner since is not coprime to conductor.
-31  fails Heegner since not every prime dividing conductor splits
-35  fails Heegner since not every prime dividing conductor splits
-39  fails Heegner since is not coprime to conductor.
-40  fails Heegner since is not coprime to conductor.
-43  fails Heegner since not every prime dividing conductor splits
-47  fails Heegner since not every prime dividing conductor splits
-51  fails Heegner since not every prime dividing conductor splits
-52  fails Heegner since is not coprime to conductor.
Using Kolyvagin theorem on D = -55
aInvariantsE= [ 1, -1, 1, -3, 3 ]
rE= 0
LE= 0.6210000000
aInvariantsF= [ 1, -1, 1, -8130, -429503 ]
rF= 1
LF= 19.06000000238
N =  26
IsogenousCurves=[[ 1, -1, 1, -3, 3 ],[ 1, -1, 1, -213, -1257 ]]
torK= [ 7, 1 ]
eps_E= 1
MordellWeilF= [ 14601, -341395, 27 ]
omega_E= 7.84179903986269709097403546260
Rounding... error in index computation:  0.00036697369068861007690
quotient =  3.9996330263
Index= 2
B=  14
Obtained the bound  14  in  4.529  seconds.
B{14}B, B1{322}B1, B2{14}B2, D1{-23}D1, D2{-55}D2, F1{[ 1, -1, 1, -1422, -31203 ]}F1, z1{[ 75, 491, 1 ]}z1, h1{0.86240955922557738233}h1, F2{[ 1, -1, 1, -8130, -429503 ]}F2, z2{[ 14601, -341395, 27 ]}z2, h2{5.59744690096467056861}h2
Total time: 6.069 seconds, Total memory usage: 8.70MB