Magma V2.11-1 Thu Jul 29 2004 13:48:11 [Seed = 1444818751] Type ? for help. Type -D to quit. 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. Using Kolyvagin theorem on D = -7 aInvariantsE= [ 0, -1, 1, -10, -20 ] rE= 0 LE= 0.2537999999 aInvariantsF= [ 0, 1, 1, -506, 7774 ] rF= 1 LF= 1.22599999979 N = 11 D = -7 is divisible by only prime, so excluding that prime from B.. IsogenousCurves=[[ 0, -1, 1, 0, 0 ],[ 0, -1, 1, -10, -20 ],[ 0, -1, 1, -7820, -263580 ]] torK= [ 5, 5, 1 ] eps_E= 1 MordellWeilF= [ 44, 269, 1 ] omega_E= 3.70308724691191863541601342367 Rounding... error in index computation: 0.0007537622004 quotient = 4.0007537622004 Index= 2 B= 70 Obtained the bound 70 in 0.809 seconds. Using Kolyvagin theorem on D = -8 aInvariantsE= [ 0, -1, 1, -10, -20 ] rE= 0 LE= 0.2537999999 aInvariantsF= [ 0, -1, 0, -41, 199 ] rF= 1 LF= 1.8879999998 N = 11 D = -8 is divisible by only prime, so excluding that prime from B.. IsogenousCurves=[[ 0, -1, 1, 0, 0 ],[ 0, -1, 1, -10, -20 ],[ 0, -1, 1, -7820, -263580 ]] torK= [ 5, 5, 1 ] eps_E= 1 MordellWeilF= [ 2, 11, 1 ] omega_E= 3.70308724691191863541601342367 Rounding... error in index computation: 0.00047649815678596496582 quotient = 3.9995235018 Index= 2 B= 10 Obtained the bound 10 in 0.62 seconds. B{10}B, B1{70}B1, B2{10}B2, D1{-7}D1, D2{-8}D2, F1{[ 0, 1, 1, -506, 7774 ]}F1, z1{[ 44, 269, 1 ]}z1, h1{0.111136147141988272935}h1, F2{[ 0, -1, 0, -41, 199 ]}F2, z2{[ 2, 11, 1 ]}z2, h2{0.18301909315009301515}h2 Total time: 1.869 seconds, Total memory usage: 8.60MB