Magma V2.11-1     Thu Jul 29 2004 13:49:02    [Seed = 2344874551]
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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
-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.
-23  fails Heegner since not every prime dividing conductor splits
-24  fails Heegner since is not coprime to conductor.
-31  fails Heegner since rank of twist is too big.
-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
-47  fails Heegner since not every prime dividing conductor splits
-51  fails Heegner since is not coprime to conductor.
-52  fails Heegner since is not coprime to conductor.
-55  fails Heegner since is not coprime to conductor.
-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.
Using Kolyvagin theorem on D = -71
aInvariantsE= [ 1, 0, 1, 1, 2 ]
rE= 0
LE= 0.5586999999
aInvariantsF= [ 1, 0, 1, 7456, -760354 ]
rF= 1
LF= 6.22000000067
N =  30
D = -71  is divisible by only prime, so excluding that prime from B..
IsogenousCurves=[[ 1, 0, 1, 1, 2 ],[ 1, 0, 1, -19, 26 ],[ 1, 0, 1, -289, 1862 ],[ 1, 0, 1, -69, -194 ],[ 1, 0, 1, -14, -64 ],[ 1, 0, 1, -334, -2368 ],[ 1, 0, 1, -454, -544 ],[ 1, 0, 1, -5334, -150368 ]]
torK= [ 6, 12, 6, 6, 2, 4, 2, 2 ]
eps_E= 1
MordellWeilF= [ 4218384, -137930903, 4096 ]
omega_E= 7.76574084207663878198300033282
Rounding... error in index computation:  0.00003056786954
quotient =  1.00003056786954
Index= 1
B=  852
Obtained the bound  426  in  1.35  seconds.
-79  fails Heegner since not every prime dividing conductor splits
-83  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 not every prime dividing conductor splits
-91  fails Heegner since not every prime dividing conductor splits
-95  fails Heegner since is not coprime to conductor.
-103  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 is not coprime to conductor.
-116  fails Heegner since is not coprime to conductor.
Using Kolyvagin theorem on D = -119
aInvariantsE= [ 1, 0, 1, 1, 2 ]
rE= 0
LE= 0.5586999999
aInvariantsF= [ 1, 0, 1, 20946, -3581168 ]
rF= 1
LF= 6.7780000008
N =  30
IsogenousCurves=[[ 1, 0, 1, 1, 2 ],[ 1, 0, 1, -19, 26 ],[ 1, 0, 1, -289, 1862 ],[ 1, 0, 1, -69, -194 ],[ 1, 0, 1, -14, -64 ],[ 1, 0, 1, -334, -2368 ],[ 1, 0, 1, -454, -544 ],[ 1, 0, 1, -5334, -150368 ]]
torK= [ 6, 12, 6, 6, 2, 4, 2, 2 ]
eps_E= 1
MordellWeilF= [ 305, 5433, 1 ]
omega_E= 7.76574084207663878198300033282
Rounding... error in index computation:  0.0003334581851
quotient =  4.0003334581851
Index= 2
B=  12
Obtained the bound  6  in  1.52  seconds.
B{6}B, B1{426}B1, B2{6}B2, D1{-71}D1, D2{-119}D2, F1{[ 1, 0, 1, 7456, -760354 ]}F1, z1{[ 4218384, -137930903, 4096 ]}z1, h1{7.54105411728748453725}h1, F2{[ 1, 0, 1, 20946, -3581168 ]}F2, z2{[ 305, 5433, 1 ]}z2, h2{2.65952835061331160915}h2
Total time: 4.000 seconds, Total memory usage: 9.18MB