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Results (1-50 of 15757 matches)

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Label Dimension Base field L-polynomial $p$-rank Number fields Galois groups Isogeny factors
1.9.ag $1$ $\F_{3^{2}}$ $( 1 - 3 x )^{2}$ $0$ \(\Q\) Trivial simple
1.9.af $1$ $\F_{3^{2}}$ $1 - 5 x + 9 x^{2}$ $1$ \(\Q(\sqrt{-11}) \) $C_2$ simple
1.9.ae $1$ $\F_{3^{2}}$ $1 - 4 x + 9 x^{2}$ $1$ \(\Q(\sqrt{-5}) \) $C_2$ simple
1.9.ad $1$ $\F_{3^{2}}$ $1 - 3 x + 9 x^{2}$ $0$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.9.ac $1$ $\F_{3^{2}}$ $1 - 2 x + 9 x^{2}$ $1$ \(\Q(\sqrt{-2}) \) $C_2$ simple
1.9.ab $1$ $\F_{3^{2}}$ $1 - x + 9 x^{2}$ $1$ \(\Q(\sqrt{-35}) \) $C_2$ simple
1.9.a $1$ $\F_{3^{2}}$ $1 + 9 x^{2}$ $0$ \(\Q(\sqrt{-1}) \) $C_2$ simple
1.9.b $1$ $\F_{3^{2}}$ $1 + x + 9 x^{2}$ $1$ \(\Q(\sqrt{-35}) \) $C_2$ simple
1.9.c $1$ $\F_{3^{2}}$ $1 + 2 x + 9 x^{2}$ $1$ \(\Q(\sqrt{-2}) \) $C_2$ simple
1.9.d $1$ $\F_{3^{2}}$ $1 + 3 x + 9 x^{2}$ $0$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.9.e $1$ $\F_{3^{2}}$ $1 + 4 x + 9 x^{2}$ $1$ \(\Q(\sqrt{-5}) \) $C_2$ simple
1.9.f $1$ $\F_{3^{2}}$ $1 + 5 x + 9 x^{2}$ $1$ \(\Q(\sqrt{-11}) \) $C_2$ simple
1.9.g $1$ $\F_{3^{2}}$ $( 1 + 3 x )^{2}$ $0$ \(\Q\) Trivial simple
2.9.am_cc $2$ $\F_{3^{2}}$ $( 1 - 3 x )^{4}$ $0$ \(\Q\) Trivial 1.9.ag 2
2.9.al_bw $2$ $\F_{3^{2}}$ $( 1 - 3 x )^{2}( 1 - 5 x + 9 x^{2} )$ $1$ \(\Q\), \(\Q(\sqrt{-11}) \) Trivial, $C_2$ 1.9.ag $\times$ 1.9.af
2.9.ak_bq $2$ $\F_{3^{2}}$ $( 1 - 3 x )^{2}( 1 - 4 x + 9 x^{2} )$ $1$ \(\Q\), \(\Q(\sqrt{-5}) \) Trivial, $C_2$ 1.9.ag $\times$ 1.9.ae
2.9.ak_br $2$ $\F_{3^{2}}$ $( 1 - 5 x + 9 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-11}) \) $C_2$ 1.9.af 2
2.9.aj_bk $2$ $\F_{3^{2}}$ $( 1 - 3 x )^{2}( 1 - 3 x + 9 x^{2} )$ $0$ \(\Q\), \(\Q(\sqrt{-3}) \) Trivial, $C_2$ 1.9.ag $\times$ 1.9.ad
2.9.aj_bl $2$ $\F_{3^{2}}$ $1 - 9 x + 37 x^{2} - 81 x^{3} + 81 x^{4}$ $2$ 4.0.2725.1 $D_{4}$ simple
2.9.aj_bm $2$ $\F_{3^{2}}$ $( 1 - 5 x + 9 x^{2} )( 1 - 4 x + 9 x^{2} )$ $2$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-5}) \) $C_2$, $C_2$ 1.9.af $\times$ 1.9.ae
2.9.ai_be $2$ $\F_{3^{2}}$ $( 1 - 3 x )^{2}( 1 - 2 x + 9 x^{2} )$ $1$ \(\Q\), \(\Q(\sqrt{-2}) \) Trivial, $C_2$ 1.9.ag $\times$ 1.9.ac
2.9.ai_bf $2$ $\F_{3^{2}}$ $1 - 8 x + 31 x^{2} - 72 x^{3} + 81 x^{4}$ $2$ 4.0.13968.2 $D_{4}$ simple
2.9.ai_bg $2$ $\F_{3^{2}}$ $1 - 8 x + 32 x^{2} - 72 x^{3} + 81 x^{4}$ $2$ \(\Q(\zeta_{8})\) $C_2^2$ simple
2.9.ai_bh $2$ $\F_{3^{2}}$ $( 1 - 5 x + 9 x^{2} )( 1 - 3 x + 9 x^{2} )$ $1$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-3}) \) $C_2$, $C_2$ 1.9.af $\times$ 1.9.ad
2.9.ai_bi $2$ $\F_{3^{2}}$ $( 1 - 4 x + 9 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-5}) \) $C_2$ 1.9.ae 2
2.9.ah_y $2$ $\F_{3^{2}}$ $( 1 - 3 x )^{2}( 1 - x + 9 x^{2} )$ $1$ \(\Q\), \(\Q(\sqrt{-35}) \) Trivial, $C_2$ 1.9.ag $\times$ 1.9.ab
2.9.ah_z $2$ $\F_{3^{2}}$ $1 - 7 x + 25 x^{2} - 63 x^{3} + 81 x^{4}$ $2$ 4.0.37485.2 $D_{4}$ simple
2.9.ah_ba $2$ $\F_{3^{2}}$ $1 - 7 x + 26 x^{2} - 63 x^{3} + 81 x^{4}$ $2$ 4.0.49708.1 $D_{4}$ simple
2.9.ah_bb $2$ $\F_{3^{2}}$ $1 - 7 x + 27 x^{2} - 63 x^{3} + 81 x^{4}$ $1$ 4.0.4901.1 $D_{4}$ simple
2.9.ah_bc $2$ $\F_{3^{2}}$ $( 1 - 5 x + 9 x^{2} )( 1 - 2 x + 9 x^{2} )$ $2$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-2}) \) $C_2$, $C_2$ 1.9.af $\times$ 1.9.ac
2.9.ah_bd $2$ $\F_{3^{2}}$ $1 - 7 x + 29 x^{2} - 63 x^{3} + 81 x^{4}$ $2$ 4.0.11125.1 $D_{4}$ simple
2.9.ah_be $2$ $\F_{3^{2}}$ $( 1 - 4 x + 9 x^{2} )( 1 - 3 x + 9 x^{2} )$ $1$ \(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-3}) \) $C_2$, $C_2$ 1.9.ae $\times$ 1.9.ad
2.9.ag_s $2$ $\F_{3^{2}}$ $( 1 - 3 x )^{2}( 1 + 9 x^{2} )$ $0$ \(\Q\), \(\Q(\sqrt{-1}) \) Trivial, $C_2$ 1.9.ag $\times$ 1.9.a
2.9.ag_t $2$ $\F_{3^{2}}$ $1 - 6 x + 19 x^{2} - 54 x^{3} + 81 x^{4}$ $2$ 4.0.4672.2 $D_{4}$ simple
2.9.ag_u $2$ $\F_{3^{2}}$ $1 - 6 x + 20 x^{2} - 54 x^{3} + 81 x^{4}$ $2$ 4.0.116032.1 $D_{4}$ simple
2.9.ag_w $2$ $\F_{3^{2}}$ $1 - 6 x + 22 x^{2} - 54 x^{3} + 81 x^{4}$ $2$ 4.0.7600.1 $D_{4}$ simple
2.9.ag_x $2$ $\F_{3^{2}}$ $( 1 - 5 x + 9 x^{2} )( 1 - x + 9 x^{2} )$ $2$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-35}) \) $C_2$, $C_2$ 1.9.af $\times$ 1.9.ab
2.9.ag_z $2$ $\F_{3^{2}}$ $1 - 6 x + 25 x^{2} - 54 x^{3} + 81 x^{4}$ $2$ 4.0.35392.1 $D_{4}$ simple
2.9.ag_ba $2$ $\F_{3^{2}}$ $( 1 - 4 x + 9 x^{2} )( 1 - 2 x + 9 x^{2} )$ $2$ \(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-2}) \) $C_2$, $C_2$ 1.9.ae $\times$ 1.9.ac
2.9.ag_bb $2$ $\F_{3^{2}}$ $( 1 - 3 x + 9 x^{2} )^{2}$ $0$ \(\Q(\sqrt{-3}) \) $C_2$ 1.9.ad 2
2.9.af_m $2$ $\F_{3^{2}}$ $( 1 - 3 x )^{2}( 1 + x + 9 x^{2} )$ $1$ \(\Q\), \(\Q(\sqrt{-35}) \) Trivial, $C_2$ 1.9.ag $\times$ 1.9.b
2.9.af_n $2$ $\F_{3^{2}}$ $1 - 5 x + 13 x^{2} - 45 x^{3} + 81 x^{4}$ $2$ 4.0.1525.1 $D_{4}$ simple
2.9.af_o $2$ $\F_{3^{2}}$ $1 - 5 x + 14 x^{2} - 45 x^{3} + 81 x^{4}$ $2$ 4.0.208444.1 $D_{4}$ simple
2.9.af_p $2$ $\F_{3^{2}}$ $1 - 5 x + 15 x^{2} - 45 x^{3} + 81 x^{4}$ $1$ 4.0.28749.1 $D_{4}$ simple
2.9.af_q $2$ $\F_{3^{2}}$ $1 - 5 x + 16 x^{2} - 45 x^{3} + 81 x^{4}$ $2$ \(\Q(\sqrt{-3}, \sqrt{-11})\) $C_2^2$ simple
2.9.af_r $2$ $\F_{3^{2}}$ $1 - 5 x + 17 x^{2} - 45 x^{3} + 81 x^{4}$ $2$ 4.0.273325.1 $D_{4}$ simple
2.9.af_s $2$ $\F_{3^{2}}$ $( 1 - 5 x + 9 x^{2} )( 1 + 9 x^{2} )$ $1$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-1}) \) $C_2$, $C_2$ 1.9.af $\times$ 1.9.a
2.9.af_t $2$ $\F_{3^{2}}$ $1 - 5 x + 19 x^{2} - 45 x^{3} + 81 x^{4}$ $2$ 4.0.206829.1 $D_{4}$ simple
2.9.af_u $2$ $\F_{3^{2}}$ $1 - 5 x + 20 x^{2} - 45 x^{3} + 81 x^{4}$ $2$ 4.0.39304.1 $D_{4}$ simple
2.9.af_v $2$ $\F_{3^{2}}$ $1 - 5 x + 21 x^{2} - 45 x^{3} + 81 x^{4}$ $1$ 4.0.11661.1 $D_{4}$ simple
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