Magma V2.11-1     Thu Jul 29 2004 13:49:14    [Seed = 4206003026]
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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
Using Kolyvagin theorem on D = -8
aInvariantsE= [ 1, 1, 0, -11, 0 ]
rE= 0
LE= 0.7472999999
aInvariantsF= [ 0, -1, 0, -737, -2175 ]
rF= 1
LF= 2.7230000002
N =  33
D = -8  is divisible by only prime, so excluding that prime from B..
IsogenousCurves=[[ 1, 1, 0, -6, -9 ],[ 1, 1, 0, -11, 0 ],[ 1, 1, 0, -146, 621 ],[ 1, 1, 0, 44, 55 ]]
torK= [ 2, 4, 4, 2 ]
eps_E= 1
MordellWeilF= [ 975, -3520, 27 ]
omega_E= 4.102343908469732589736383700305
Rounding... error in index computation:  0.000092444708570837974548
quotient =  0.9999075552
Index= 1
B=  4
Obtained the bound  2  in  0.73  seconds.
-11  fails Heegner since is not coprime to conductor.
-15  fails Heegner since is not coprime to conductor.
-19  fails Heegner since not every prime dividing conductor splits
-20  fails Heegner since not every prime dividing conductor splits
-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
-31  fails Heegner since not every prime dividing conductor splits
Using Kolyvagin theorem on D = -35
aInvariantsE= [ 1, 1, 0, -11, 0 ]
rE= 0
LE= 0.7472999999
aInvariantsF= [ 1, 1, 1, -14113, -208594 ]
rF= 1
LF= 2.4239999996
N =  33
IsogenousCurves=[[ 1, 1, 0, -6, -9 ],[ 1, 1, 0, -11, 0 ],[ 1, 1, 0, -146, 621 ],[ 1, 1, 0, 44, 55 ]]
torK= [ 2, 4, 4, 2 ]
eps_E= 1
MordellWeilF= [ 370, 6552, 1 ]
omega_E= 4.102343908469732589736383700305
Rounding... error in index computation:  0.00054012518376111984252
quotient =  3.9994598748
Index= 2
B=  4
Obtained the bound  2  in  0.901  seconds.
B{2}B, B1{2}B1, B2{2}B2, D1{-8}D1, D2{-35}D2, F1{[ 0, -1, 0, -737, -2175 ]}F1, z1{[ 975, -3520, 27 ]}z1, h1{2.80624572802012739458}h1, F2{[ 1, 1, 1, -14113, -208594 ]}F2, z2{[ 370, 6552, 1 ]}z2, h2{1.30634595813500897776}h2
Total time: 2.180 seconds, Total memory usage: 8.77MB