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Results (1-50 of 113065 matches)

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Label Dimension Base field L-polynomial $p$-rank Number fields Galois groups Isogeny factors
1.17.ai $1$ $\F_{17}$ $1 - 8 x + 17 x^{2}$ $1$ \(\Q(\sqrt{-1}) \) $C_2$ simple
1.17.ah $1$ $\F_{17}$ $1 - 7 x + 17 x^{2}$ $1$ \(\Q(\sqrt{-19}) \) $C_2$ simple
1.17.ag $1$ $\F_{17}$ $1 - 6 x + 17 x^{2}$ $1$ \(\Q(\sqrt{-2}) \) $C_2$ simple
1.17.af $1$ $\F_{17}$ $1 - 5 x + 17 x^{2}$ $1$ \(\Q(\sqrt{-43}) \) $C_2$ simple
1.17.ae $1$ $\F_{17}$ $1 - 4 x + 17 x^{2}$ $1$ \(\Q(\sqrt{-13}) \) $C_2$ simple
1.17.ad $1$ $\F_{17}$ $1 - 3 x + 17 x^{2}$ $1$ \(\Q(\sqrt{-59}) \) $C_2$ simple
1.17.ac $1$ $\F_{17}$ $1 - 2 x + 17 x^{2}$ $1$ \(\Q(\sqrt{-1}) \) $C_2$ simple
1.17.ab $1$ $\F_{17}$ $1 - x + 17 x^{2}$ $1$ \(\Q(\sqrt{-67}) \) $C_2$ simple
1.17.a $1$ $\F_{17}$ $1 + 17 x^{2}$ $0$ \(\Q(\sqrt{-17}) \) $C_2$ simple
1.17.b $1$ $\F_{17}$ $1 + x + 17 x^{2}$ $1$ \(\Q(\sqrt{-67}) \) $C_2$ simple
1.17.c $1$ $\F_{17}$ $1 + 2 x + 17 x^{2}$ $1$ \(\Q(\sqrt{-1}) \) $C_2$ simple
1.17.d $1$ $\F_{17}$ $1 + 3 x + 17 x^{2}$ $1$ \(\Q(\sqrt{-59}) \) $C_2$ simple
1.17.e $1$ $\F_{17}$ $1 + 4 x + 17 x^{2}$ $1$ \(\Q(\sqrt{-13}) \) $C_2$ simple
1.17.f $1$ $\F_{17}$ $1 + 5 x + 17 x^{2}$ $1$ \(\Q(\sqrt{-43}) \) $C_2$ simple
1.17.g $1$ $\F_{17}$ $1 + 6 x + 17 x^{2}$ $1$ \(\Q(\sqrt{-2}) \) $C_2$ simple
1.17.h $1$ $\F_{17}$ $1 + 7 x + 17 x^{2}$ $1$ \(\Q(\sqrt{-19}) \) $C_2$ simple
1.17.i $1$ $\F_{17}$ $1 + 8 x + 17 x^{2}$ $1$ \(\Q(\sqrt{-1}) \) $C_2$ simple
2.17.aq_du $2$ $\F_{17}$ $( 1 - 8 x + 17 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-1}) \) $C_2$ 1.17.ai 2
2.17.ap_dm $2$ $\F_{17}$ $( 1 - 8 x + 17 x^{2} )( 1 - 7 x + 17 x^{2} )$ $2$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-19}) \) $C_2$, $C_2$ 1.17.ai $\times$ 1.17.ah
2.17.ao_de $2$ $\F_{17}$ $( 1 - 8 x + 17 x^{2} )( 1 - 6 x + 17 x^{2} )$ $2$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-2}) \) $C_2$, $C_2$ 1.17.ai $\times$ 1.17.ag
2.17.ao_df $2$ $\F_{17}$ $( 1 - 7 x + 17 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-19}) \) $C_2$ 1.17.ah 2
2.17.an_cw $2$ $\F_{17}$ $( 1 - 8 x + 17 x^{2} )( 1 - 5 x + 17 x^{2} )$ $2$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-43}) \) $C_2$, $C_2$ 1.17.ai $\times$ 1.17.af
2.17.an_cx $2$ $\F_{17}$ $1 - 13 x + 75 x^{2} - 221 x^{3} + 289 x^{4}$ $2$ 4.0.9725.1 $D_{4}$ simple
2.17.an_cy $2$ $\F_{17}$ $( 1 - 7 x + 17 x^{2} )( 1 - 6 x + 17 x^{2} )$ $2$ \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-2}) \) $C_2$, $C_2$ 1.17.ah $\times$ 1.17.ag
2.17.am_cn $2$ $\F_{17}$ $1 - 12 x + 65 x^{2} - 204 x^{3} + 289 x^{4}$ $2$ \(\Q(\sqrt{-3}, \sqrt{5})\) $C_2^2$ simple
2.17.am_co $2$ $\F_{17}$ $( 1 - 8 x + 17 x^{2} )( 1 - 4 x + 17 x^{2} )$ $2$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-13}) \) $C_2$, $C_2$ 1.17.ai $\times$ 1.17.ae
2.17.am_cp $2$ $\F_{17}$ $1 - 12 x + 67 x^{2} - 204 x^{3} + 289 x^{4}$ $2$ 4.0.58896.2 $D_{4}$ simple
2.17.am_cq $2$ $\F_{17}$ $1 - 12 x + 68 x^{2} - 204 x^{3} + 289 x^{4}$ $1$ 4.0.39168.3 $D_{4}$ simple
2.17.am_cr $2$ $\F_{17}$ $( 1 - 7 x + 17 x^{2} )( 1 - 5 x + 17 x^{2} )$ $2$ \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-43}) \) $C_2$, $C_2$ 1.17.ah $\times$ 1.17.af
2.17.am_cs $2$ $\F_{17}$ $( 1 - 6 x + 17 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-2}) \) $C_2$ 1.17.ag 2
2.17.al_cf $2$ $\F_{17}$ $1 - 11 x + 57 x^{2} - 187 x^{3} + 289 x^{4}$ $2$ 4.0.44573.1 $D_{4}$ simple
2.17.al_cg $2$ $\F_{17}$ $( 1 - 8 x + 17 x^{2} )( 1 - 3 x + 17 x^{2} )$ $2$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-59}) \) $C_2$, $C_2$ 1.17.ai $\times$ 1.17.ad
2.17.al_ch $2$ $\F_{17}$ $1 - 11 x + 59 x^{2} - 187 x^{3} + 289 x^{4}$ $2$ 4.0.185661.1 $D_{4}$ simple
2.17.al_ci $2$ $\F_{17}$ $1 - 11 x + 60 x^{2} - 187 x^{3} + 289 x^{4}$ $2$ 4.0.43928.1 $D_{4}$ simple
2.17.al_cj $2$ $\F_{17}$ $1 - 11 x + 61 x^{2} - 187 x^{3} + 289 x^{4}$ $2$ 4.0.134693.2 $D_{4}$ simple
2.17.al_ck $2$ $\F_{17}$ $( 1 - 7 x + 17 x^{2} )( 1 - 4 x + 17 x^{2} )$ $2$ \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-13}) \) $C_2$, $C_2$ 1.17.ah $\times$ 1.17.ae
2.17.al_cl $2$ $\F_{17}$ $1 - 11 x + 63 x^{2} - 187 x^{3} + 289 x^{4}$ $2$ 4.0.29525.1 $D_{4}$ simple
2.17.al_cm $2$ $\F_{17}$ $( 1 - 6 x + 17 x^{2} )( 1 - 5 x + 17 x^{2} )$ $2$ \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-43}) \) $C_2$, $C_2$ 1.17.ag $\times$ 1.17.af
2.17.ak_bx $2$ $\F_{17}$ $1 - 10 x + 49 x^{2} - 170 x^{3} + 289 x^{4}$ $2$ 4.0.142400.3 $D_{4}$ simple
2.17.ak_by $2$ $\F_{17}$ $( 1 - 8 x + 17 x^{2} )( 1 - 2 x + 17 x^{2} )$ $2$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-1}) \) $C_2$, $C_2$ 1.17.ai $\times$ 1.17.ac
2.17.ak_bz $2$ $\F_{17}$ $1 - 10 x + 51 x^{2} - 170 x^{3} + 289 x^{4}$ $1$ 4.0.27200.2 $D_{4}$ simple
2.17.ak_ca $2$ $\F_{17}$ $1 - 10 x + 52 x^{2} - 170 x^{3} + 289 x^{4}$ $2$ 4.0.467264.1 $D_{4}$ simple
2.17.ak_cb $2$ $\F_{17}$ $1 - 10 x + 53 x^{2} - 170 x^{3} + 289 x^{4}$ $2$ 4.0.442944.2 $D_{4}$ simple
2.17.ak_cc $2$ $\F_{17}$ $1 - 10 x + 54 x^{2} - 170 x^{3} + 289 x^{4}$ $2$ 4.0.23600.1 $D_{4}$ simple
2.17.ak_cd $2$ $\F_{17}$ $( 1 - 7 x + 17 x^{2} )( 1 - 3 x + 17 x^{2} )$ $2$ \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-59}) \) $C_2$, $C_2$ 1.17.ah $\times$ 1.17.ad
2.17.ak_ce $2$ $\F_{17}$ $1 - 10 x + 56 x^{2} - 170 x^{3} + 289 x^{4}$ $2$ 4.0.187200.1 $D_{4}$ simple
2.17.ak_cf $2$ $\F_{17}$ $1 - 10 x + 57 x^{2} - 170 x^{3} + 289 x^{4}$ $2$ 4.0.94784.1 $D_{4}$ simple
2.17.ak_cg $2$ $\F_{17}$ $( 1 - 6 x + 17 x^{2} )( 1 - 4 x + 17 x^{2} )$ $2$ \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-13}) \) $C_2$, $C_2$ 1.17.ag $\times$ 1.17.ae
2.17.ak_ch $2$ $\F_{17}$ $( 1 - 5 x + 17 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-43}) \) $C_2$ 1.17.af 2
2.17.aj_bp $2$ $\F_{17}$ $1 - 9 x + 41 x^{2} - 153 x^{3} + 289 x^{4}$ $2$ 4.0.328653.3 $D_{4}$ simple
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