Magma V2.11-1     Thu Jul 29 2004 13:48:36    [Seed = 1595352601]
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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
-19  fails Heegner since not every prime dividing conductor splits
-20  fails Heegner since is not coprime to conductor.
Using Kolyvagin theorem on D = -23
aInvariantsE= [ 0, -1, 0, -4, 4 ]
rE= 0
LE= 0.5390999999
aInvariantsF= [ 0, -1, 0, -2292, -30780 ]
rF= 1
LF= 4.2670000009
N =  24
D = -23  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, -64, 220 ],[ 0, -1, 0, -24, -36 ],[ 0, -1, 0, -384, -2772 ],[ 0, -1, 0, 16, -180 ]]
torK= [ 4, 8, 4, 4, 2, 2 ]
eps_E= 1
MordellWeilF= [ 60, 210, 1 ]
omega_E= 7.270694035862877761124986668510
Rounding... error in index computation:  0.00016158353537321090698
quotient =  0.9998384164
Index= 1
B=  184
Obtained the bound  46  in  1.239  seconds.
-24  fails Heegner since is not coprime to conductor.
-31  fails Heegner since not every prime dividing conductor splits
-35  fails Heegner since not every prime dividing conductor splits
-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
Using Kolyvagin theorem on D = -47
aInvariantsE= [ 0, -1, 0, -4, 4 ]
rE= 0
LE= 0.5390999999
aInvariantsF= [ 0, -1, 0, -9572, -265980 ]
rF= 1
LF= 6.03199999965
N =  24
D = -47  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, -64, 220 ],[ 0, -1, 0, -24, -36 ],[ 0, -1, 0, -384, -2772 ],[ 0, -1, 0, 16, -180 ]]
torK= [ 4, 8, 4, 4, 2, 2 ]
eps_E= 1
MordellWeilF= [ -539600, -2328286, 15625 ]
omega_E= 7.270694035862877761124986668510
Rounding... error in index computation:  0.000024524051696062088012
quotient =  0.9999754759
Index= 1
B=  376
Obtained the bound  94  in  0.93  seconds.
B{2}B, B1{46}B1, B2{94}B2, D1{-23}D1, D2{-47}D2, F1{[ 0, -1, 0, -2292, -30780 ]}F1, z1{[ 60, 210, 1 ]}z1, h1{3.035150282480556960251}h1, F2{[ 0, -1, 0, -9572, -265980 ]}F2, z2{[ -539600, -2328286, 15625 ]}z2, h2{6.13259621714528702085}h2
Total time: 2.940 seconds, Total memory usage: 8.99MB