Magma V2.11-1     Thu Jul 29 2004 13:48:14    [Seed = 1461661243]
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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 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
-20  fails Heegner since is not coprime to conductor.
-23  fails Heegner since rank of twist is too big.
-24  fails Heegner since is not coprime to conductor.
Using Kolyvagin theorem on D = -31
aInvariantsE= [ 1, 0, 1, 4, -6 ]
rE= 0
LE= 0.3301999999
aInvariantsF= [ 1, 1, 0, 4305, 184229 ]
rF= 1
LF= 5.21900000050
N =  14
D = -31  is divisible by only prime, so excluding that prime from B..
IsogenousCurves=[[ 1, 0, 1, -1, 0 ],[ 1, 0, 1, -11, 12 ],[ 1, 0, 1, 4, -6 ],[ 1, 0, 1, -36, -70 ],[ 1, 0, 1, -171, -874 ],[ 1, 0, 1, -2731, -55146 ]]
torK= [ 6, 6, 6, 6, 2, 2 ]
eps_E= 1
MordellWeilF= [ 1965, -26449, 27 ]
omega_E= 5.252502811164032372995709937756
Rounding... error in index computation:  0.000053161289542913436889
quotient =  0.9999468387
Index= 1
B=  186
Obtained the bound  186  in  1.03  seconds.
-35  fails Heegner since is not coprime to conductor.
-39  fails Heegner since not every prime dividing conductor splits
-40  fails Heegner since is not coprime to conductor.
-43  fails Heegner since not every prime dividing conductor splits
-43  fails Heegner since not every prime dividing conductor splits
Using Kolyvagin theorem on D = -47
aInvariantsE= [ 1, 0, 1, 4, -6 ]
rE= 0
LE= 0.3301999999
aInvariantsF= [ 1, 0, 1, 9894, 636620 ]
rF= 1
LF= 3.08399999979
N =  14
D = -47  is divisible by only prime, so excluding that prime from B..
IsogenousCurves=[[ 1, 0, 1, -1, 0 ],[ 1, 0, 1, -11, 12 ],[ 1, 0, 1, 4, -6 ],[ 1, 0, 1, -36, -70 ],[ 1, 0, 1, -171, -874 ],[ 1, 0, 1, -2731, -55146 ]]
torK= [ 6, 6, 6, 6, 2, 2 ]
eps_E= 1
MordellWeilF= [ 5250, -87685, 27 ]
omega_E= 5.252502811164032372995709937756
Rounding... error in index computation:  0.00013228226453065872192
quotient =  0.9998677177
Index= 1
B=  282
Obtained the bound  282  in  1.09  seconds.
B{6}B, B1{186}B1, B2{282}B2, D1{-31}D1, D2{-47}D2, F1{[ 1, 1, 0, 4305, 184229 ]}F1, z1{[ 1965, -26449, 27 ]}z1, h1{3.65369257693788807017}h1, F2{[ 1, 0, 1, 9894, 636620 ]}F2, z2{[ 5250, -87685, 27 ]}z2, h2{2.65865216925280556381}h2
Total time: 2.870 seconds, Total memory usage: 8.97MB