Magma V2.11-1     Thu Jul 29 2004 13:48:31    [Seed = 1494294532]
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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, 1, 0, 4, 4 ]
rE= 0
LE= 0.4706999999
aInvariantsF= [ 0, -1, 0, 3524, -82824 ]
rF= 1
LF= 7.15899999998
N =  20
D = -31  is divisible by only prime, so excluding that prime from B..
IsogenousCurves=[[ 0, 1, 0, -1, 0 ],[ 0, 1, 0, 4, 4 ],[ 0, 1, 0, -41, -116 ],[ 0, 1, 0, -36, -140 ]]
torK= [ 6, 6, 2, 2 ]
eps_E= 1
MordellWeilF= [ 47820, 323857, 1728 ]
omega_E= 6.423095656880130175167444195097
Rounding... error in index computation:  0.000099106458947062492370
quotient =  0.9999008935
Index= 1
B=  186
Obtained the bound  186  in  0.711  seconds.
-35  fails Heegner since is not coprime to conductor.
Using Kolyvagin theorem on D = -39
aInvariantsE= [ 0, 1, 0, 4, 4 ]
rE= 0
LE= 0.4706999999
aInvariantsF= [ 0, 0, 0, 5577, -162578 ]
rF= 1
LF= 4.7369999997
N =  20
IsogenousCurves=[[ 0, 1, 0, -1, 0 ],[ 0, 1, 0, 4, 4 ],[ 0, 1, 0, -41, -116 ],[ 0, 1, 0, -36, -140 ]]
torK= [ 6, 6, 2, 2 ]
eps_E= 1
MordellWeilF= [ 39, 338, 1 ]
omega_E= 6.423095656880130175167444195097
Rounding... error in index computation:  0.000092768110334873199462
quotient =  3.9999072318
Index= 2
B=  6
Obtained the bound  6  in  0.779  seconds.
B{6}B, B1{186}B1, B2{6}B2, D1{-31}D1, D2{-39}D2, F1{[ 0, -1, 0, 3524, -82824 ]}F1, z1{[ 47820, 323857, 1728 ]}z1, h1{5.84259868595212150665}h1, F2{[ 0, 0, 0, 5577, -162578 ]}F2, z2{[ 39, 338, 1 ]}z2, h2{1.083965782565800228809}h2
Total time: 2.149 seconds, Total memory usage: 8.82MB