Magma V2.11-1     Thu Jul 29 2004 13:49:47 on meccah3  [Seed = 1697455348]
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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 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 is not coprime to conductor.
-23  fails Heegner since not every prime dividing conductor splits
-24  fails Heegner since is not coprime to conductor.
-31  fails Heegner since not every prime dividing conductor splits
-35  fails Heegner since is not coprime to conductor.
-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
-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, 1, 1, -4, 5 ]
rE= 0
LE= 0.8688999998
aInvariantsF= [ 1, 1, 1, -8882, -715201 ]
rF= 1
LF= 10.08999999985
N =  42
D = -47  is divisible by only prime, so excluding that prime from B..
IsogenousCurves=[[ 1, 1, 1, -4, 5 ],[ 1, 1, 1, -84, 261 ],[ 1, 1, 1, -1344, 18405 ],[ 1, 1, 1, -104, 101 ],[ 1, 1, 1, -914, -10915 ],[ 1, 1, 1, 386, 1277 ]]
torK= [ 8, 8, 4, 4, 2, 2 ]
eps_E= 1
MordellWeilF= [ 699, 17959, 1 ]
omega_E= 5.480734664528116380737958364167
Rounding... error in index computation:  0.0006045289337
quotient =  4.0006045289337
Index= 2
B=  376
Obtained the bound  94  in  0.761  seconds.
-51  fails Heegner since is not coprime to conductor.
-52  fails Heegner since is not coprime to conductor.
-55  fails Heegner since not every prime dividing conductor splits
-56  fails Heegner since is not coprime to conductor.
-59  fails Heegner since not every prime dividing conductor splits
-67  fails Heegner since not every prime dividing conductor splits
-67  fails Heegner since not every prime dividing conductor splits
-67  fails Heegner since not every prime dividing conductor splits
-68  fails Heegner since is not coprime to conductor.
-71  fails Heegner since rank of twist is too big.
-79  fails Heegner since not every prime dividing conductor splits
-79  fails Heegner since not every prime dividing conductor splits
-83  fails Heegner since not every prime dividing conductor splits
-84  fails Heegner since is not coprime to conductor.
-87  fails Heegner since is not coprime to conductor.
-88  fails Heegner since is not coprime to conductor.
-91  fails Heegner since is not coprime to conductor.
-95  fails Heegner since not every prime dividing conductor splits
-103  fails Heegner since not every prime dividing conductor splits
-104  fails Heegner since is not coprime to conductor.
-107  fails Heegner since not every prime dividing conductor splits
-107  fails Heegner since not every prime dividing conductor splits
-111  fails Heegner since is not coprime to conductor.
-115  fails Heegner since not every prime dividing conductor splits
-115  fails Heegner since not every prime dividing conductor splits
-116  fails Heegner since is not coprime to conductor.
-119  fails Heegner since is not coprime to conductor.
-120  fails Heegner since is not coprime to conductor.
-123  fails Heegner since is not coprime to conductor.
-127  fails Heegner since not every prime dividing conductor splits
-127  fails Heegner since not every prime dividing conductor splits
-131  fails Heegner since not every prime dividing conductor splits
-132  fails Heegner since is not coprime to conductor.
-136  fails Heegner since is not coprime to conductor.
-139  fails Heegner since not every prime dividing conductor splits
-139  fails Heegner since not every prime dividing conductor splits
Using Kolyvagin theorem on D = -143
aInvariantsE= [ 1, 1, 1, -4, 5 ]
rE= 0
LE= 0.8688999998
aInvariantsF= [ 1, 1, 1, -82222, -20073877 ]
rF= 1
LF= 14.2699999995
N =  42
IsogenousCurves=[[ 1, 1, 1, -4, 5 ],[ 1, 1, 1, -84, 261 ],[ 1, 1, 1, -1344, 18405 ],[ 1, 1, 1, -104, 101 ],[ 1, 1, 1, -914, -10915 ],[ 1, 1, 1, 386, 1277 ]]
torK= [ 8, 8, 4, 4, 2, 2 ]
eps_E= 1
MordellWeilF= [ 391, 2587, 1 ]
omega_E= 5.480734664528116380737958364167
Rounding... error in index computation:  0.00112321600317955017089
quotient =  15.9988767839
Index= 4
B=  8
Obtained the bound  2  in  0.869  seconds.
B{2}B, B1{94}B1, B2{2}B2, D1{-47}D1, D2{-143}D2, F1{[ 1, 1, 1, -8882, -715201 ]}F1, z1{[ 699, 17959, 1 ]}z1, h1{5.48246020708361125883}h1, F2{[ 1, 1, 1, -82222, -20073877 ]}F2, z2{[ 391, 2587, 1 ]}z2, h2{3.38192142870519596442}h2
Total time: 2.709 seconds, Total memory usage: 9.07MB