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Results (1-50 of 8197 matches)

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Label Dimension Base field L-polynomial $p$-rank Number fields Galois groups Isogeny factors
1.7.af $1$ $\F_{7}$ $1 - 5 x + 7 x^{2}$ $1$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.7.ae $1$ $\F_{7}$ $1 - 4 x + 7 x^{2}$ $1$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.7.ad $1$ $\F_{7}$ $1 - 3 x + 7 x^{2}$ $1$ \(\Q(\sqrt{-19}) \) $C_2$ simple
1.7.ac $1$ $\F_{7}$ $1 - 2 x + 7 x^{2}$ $1$ \(\Q(\sqrt{-6}) \) $C_2$ simple
1.7.ab $1$ $\F_{7}$ $1 - x + 7 x^{2}$ $1$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.7.a $1$ $\F_{7}$ $1 + 7 x^{2}$ $0$ \(\Q(\sqrt{-7}) \) $C_2$ simple
1.7.b $1$ $\F_{7}$ $1 + x + 7 x^{2}$ $1$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.7.c $1$ $\F_{7}$ $1 + 2 x + 7 x^{2}$ $1$ \(\Q(\sqrt{-6}) \) $C_2$ simple
1.7.d $1$ $\F_{7}$ $1 + 3 x + 7 x^{2}$ $1$ \(\Q(\sqrt{-19}) \) $C_2$ simple
1.7.e $1$ $\F_{7}$ $1 + 4 x + 7 x^{2}$ $1$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.7.f $1$ $\F_{7}$ $1 + 5 x + 7 x^{2}$ $1$ \(\Q(\sqrt{-3}) \) $C_2$ simple
2.7.ak_bn $2$ $\F_{7}$ $( 1 - 5 x + 7 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-3}) \) $C_2$ 1.7.af 2
2.7.aj_bi $2$ $\F_{7}$ $( 1 - 5 x + 7 x^{2} )( 1 - 4 x + 7 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-3}) \) $C_2$, $C_2$ 1.7.af $\times$ 1.7.ae
2.7.ai_bd $2$ $\F_{7}$ $( 1 - 5 x + 7 x^{2} )( 1 - 3 x + 7 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-19}) \) $C_2$, $C_2$ 1.7.af $\times$ 1.7.ad
2.7.ai_be $2$ $\F_{7}$ $( 1 - 4 x + 7 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-3}) \) $C_2$ 1.7.ae 2
2.7.ah_y $2$ $\F_{7}$ $( 1 - 5 x + 7 x^{2} )( 1 - 2 x + 7 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-6}) \) $C_2$, $C_2$ 1.7.af $\times$ 1.7.ac
2.7.ah_z $2$ $\F_{7}$ $1 - 7 x + 25 x^{2} - 49 x^{3} + 49 x^{4}$ $2$ 4.0.3725.1 $D_{4}$ simple
2.7.ah_ba $2$ $\F_{7}$ $( 1 - 4 x + 7 x^{2} )( 1 - 3 x + 7 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-19}) \) $C_2$, $C_2$ 1.7.ae $\times$ 1.7.ad
2.7.ag_s $2$ $\F_{7}$ $1 - 6 x + 18 x^{2} - 42 x^{3} + 49 x^{4}$ $2$ \(\Q(i, \sqrt{5})\) $C_2^2$ simple
2.7.ag_t $2$ $\F_{7}$ $( 1 - 5 x + 7 x^{2} )( 1 - x + 7 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-3}) \) $C_2$, $C_2$ 1.7.af $\times$ 1.7.ab
2.7.ag_u $2$ $\F_{7}$ $1 - 6 x + 20 x^{2} - 42 x^{3} + 49 x^{4}$ $2$ 4.0.21312.1 $D_{4}$ simple
2.7.ag_v $2$ $\F_{7}$ $1 - 6 x + 21 x^{2} - 42 x^{3} + 49 x^{4}$ $1$ 4.0.13888.1 $D_{4}$ simple
2.7.ag_w $2$ $\F_{7}$ $( 1 - 4 x + 7 x^{2} )( 1 - 2 x + 7 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-6}) \) $C_2$, $C_2$ 1.7.ae $\times$ 1.7.ac
2.7.ag_x $2$ $\F_{7}$ $( 1 - 3 x + 7 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-19}) \) $C_2$ 1.7.ad 2
2.7.af_n $2$ $\F_{7}$ $1 - 5 x + 13 x^{2} - 35 x^{3} + 49 x^{4}$ $2$ 4.0.24389.1 $C_4$ simple
2.7.af_o $2$ $\F_{7}$ $( 1 - 5 x + 7 x^{2} )( 1 + 7 x^{2} )$ $1$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-7}) \) $C_2$, $C_2$ 1.7.af $\times$ 1.7.a
2.7.af_p $2$ $\F_{7}$ $1 - 5 x + 15 x^{2} - 35 x^{3} + 49 x^{4}$ $2$ 4.0.62181.1 $D_{4}$ simple
2.7.af_q $2$ $\F_{7}$ $1 - 5 x + 16 x^{2} - 35 x^{3} + 49 x^{4}$ $2$ 4.0.57800.1 $D_{4}$ simple
2.7.af_r $2$ $\F_{7}$ $1 - 5 x + 17 x^{2} - 35 x^{3} + 49 x^{4}$ $2$ 4.0.4901.1 $D_{4}$ simple
2.7.af_s $2$ $\F_{7}$ $( 1 - 4 x + 7 x^{2} )( 1 - x + 7 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-3}) \) $C_2$, $C_2$ 1.7.ae $\times$ 1.7.ab
2.7.af_t $2$ $\F_{7}$ $1 - 5 x + 19 x^{2} - 35 x^{3} + 49 x^{4}$ $2$ 4.0.9725.1 $D_{4}$ simple
2.7.af_u $2$ $\F_{7}$ $( 1 - 3 x + 7 x^{2} )( 1 - 2 x + 7 x^{2} )$ $2$ \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-6}) \) $C_2$, $C_2$ 1.7.ad $\times$ 1.7.ac
2.7.ae_i $2$ $\F_{7}$ $1 - 4 x + 8 x^{2} - 28 x^{3} + 49 x^{4}$ $2$ \(\Q(i, \sqrt{10})\) $C_2^2$ simple
2.7.ae_j $2$ $\F_{7}$ $( 1 - 5 x + 7 x^{2} )( 1 + x + 7 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-3}) \) $C_2$, $C_2$ 1.7.af $\times$ 1.7.b
2.7.ae_k $2$ $\F_{7}$ $1 - 4 x + 10 x^{2} - 28 x^{3} + 49 x^{4}$ $2$ 4.0.2048.2 $C_4$ simple
2.7.ae_l $2$ $\F_{7}$ $1 - 4 x + 11 x^{2} - 28 x^{3} + 49 x^{4}$ $2$ 4.0.138768.1 $D_{4}$ simple
2.7.ae_m $2$ $\F_{7}$ $1 - 4 x + 12 x^{2} - 28 x^{3} + 49 x^{4}$ $2$ 4.0.131328.1 $D_{4}$ simple
2.7.ae_n $2$ $\F_{7}$ $1 - 4 x + 13 x^{2} - 28 x^{3} + 49 x^{4}$ $2$ 4.0.7025.1 $D_{4}$ simple
2.7.ae_o $2$ $\F_{7}$ $( 1 - 4 x + 7 x^{2} )( 1 + 7 x^{2} )$ $1$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-7}) \) $C_2$, $C_2$ 1.7.ae $\times$ 1.7.a
2.7.ae_p $2$ $\F_{7}$ $1 - 4 x + 15 x^{2} - 28 x^{3} + 49 x^{4}$ $2$ 4.0.56592.1 $D_{4}$ simple
2.7.ae_q $2$ $\F_{7}$ $1 - 4 x + 16 x^{2} - 28 x^{3} + 49 x^{4}$ $2$ 4.0.28928.2 $D_{4}$ simple
2.7.ae_r $2$ $\F_{7}$ $( 1 - 3 x + 7 x^{2} )( 1 - x + 7 x^{2} )$ $2$ \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-3}) \) $C_2$, $C_2$ 1.7.ad $\times$ 1.7.ab
2.7.ae_s $2$ $\F_{7}$ $( 1 - 2 x + 7 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-6}) \) $C_2$ 1.7.ac 2
2.7.ad_c $2$ $\F_{7}$ $1 - 3 x + 2 x^{2} - 21 x^{3} + 49 x^{4}$ $2$ \(\Q(\sqrt{-3}, \sqrt{-19})\) $C_2^2$ simple
2.7.ad_d $2$ $\F_{7}$ $1 - 3 x + 3 x^{2} - 21 x^{3} + 49 x^{4}$ $2$ 4.0.103933.1 $D_{4}$ simple
2.7.ad_e $2$ $\F_{7}$ $( 1 - 5 x + 7 x^{2} )( 1 + 2 x + 7 x^{2} )$ $2$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-6}) \) $C_2$, $C_2$ 1.7.af $\times$ 1.7.c
2.7.ad_f $2$ $\F_{7}$ $1 - 3 x + 5 x^{2} - 21 x^{3} + 49 x^{4}$ $2$ 4.0.2725.1 $D_{4}$ simple
2.7.ad_g $2$ $\F_{7}$ $1 - 3 x + 6 x^{2} - 21 x^{3} + 49 x^{4}$ $2$ 4.0.62197.1 $D_{4}$ simple
2.7.ad_h $2$ $\F_{7}$ $1 - 3 x + 7 x^{2} - 21 x^{3} + 49 x^{4}$ $1$ 4.0.28749.1 $D_{4}$ simple
2.7.ad_i $2$ $\F_{7}$ $1 - 3 x + 8 x^{2} - 21 x^{3} + 49 x^{4}$ $2$ 4.0.252648.2 $D_{4}$ simple
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