Magma V2.11-1     Thu Jul 29 2004 13:49:44 on meccah3  [Seed = 1680612854]
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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
-15  fails Heegner since is not coprime to conductor.
-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.
Using Kolyvagin theorem on D = -31
aInvariantsE= [ 0, 0, 0, -7, -6 ]
rE= 0
LE= 0.7421999999
aInvariantsF= [ 0, 0, 0, -6727, 178746 ]
rF= 1
LF= 4.05900000035
N =  40
D = -31  is divisible by only prime, so excluding that prime from B..
IsogenousCurves=[[ 0, 0, 0, -2, 1 ],[ 0, 0, 0, -7, -6 ],[ 0, 0, 0, -107, -426 ],[ 0, 0, 0, 13, -34 ]]
torK= [ 4, 4, 2, 4 ]
eps_E= 1
MordellWeilF= [ 1187, -40800, 1 ]
omega_E= 5.99377796368204496028071553749
Rounding... error in index computation:  0.00007852492853
quotient =  1.00007852492853
Index= 1
B=  124
Obtained the bound  62  in  0.501  seconds.
-35  fails Heegner since is not coprime to conductor.
Using Kolyvagin theorem on D = -39
aInvariantsE= [ 0, 0, 0, -7, -6 ]
rE= 0
LE= 0.7421999999
aInvariantsF= [ 0, 0, 0, -10647, 355914 ]
rF= 1
LF= 8.6490000002
N =  40
IsogenousCurves=[[ 0, 0, 0, -2, 1 ],[ 0, 0, 0, -7, -6 ],[ 0, 0, 0, -107, -426 ],[ 0, 0, 0, 13, -34 ]]
torK= [ 4, 4, 2, 4 ]
eps_E= 1
MordellWeilF= [ 30, -252, 1 ]
omega_E= 5.99377796368204496028071553749
Rounding... error in index computation:  0.000102009624242782592773
quotient =  3.9998979903
Index= 2
B=  4
Obtained the bound  2  in  0.53  seconds.
B{2}B, B1{62}B1, B2{2}B2, D1{-31}D1, D2{-39}D2, F1{[ 0, 0, 0, -6727, 178746 ]}F1, z1{[ 1187, -40800, 1 ]}z1, h1{5.59649463174881134364}h1, F2{[ 0, 0, 0, -10647, 355914 ]}F2, z2{[ 30, -252, 1 ]}z2, h2{3.34425649905161126440}h2
Total time: 1.659 seconds, Total memory usage: 8.77MB