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Results (1-50 of 39657 matches)

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Label Dimension Base field L-polynomial $p$-rank Number fields Galois groups Isogeny factors
1.4.ae $1$ $\F_{2^{2}}$ $( 1 - 2 x )^{2}$ $0$ \(\Q\) Trivial simple
1.4.ad $1$ $\F_{2^{2}}$ $1 - 3 x + 4 x^{2}$ $1$ \(\Q(\sqrt{-7}) \) $C_2$ simple
1.4.ac $1$ $\F_{2^{2}}$ $1 - 2 x + 4 x^{2}$ $0$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.4.ab $1$ $\F_{2^{2}}$ $1 - x + 4 x^{2}$ $1$ \(\Q(\sqrt{-15}) \) $C_2$ simple
1.4.a $1$ $\F_{2^{2}}$ $1 + 4 x^{2}$ $0$ \(\Q(\sqrt{-1}) \) $C_2$ simple
1.4.b $1$ $\F_{2^{2}}$ $1 + x + 4 x^{2}$ $1$ \(\Q(\sqrt{-15}) \) $C_2$ simple
1.4.c $1$ $\F_{2^{2}}$ $1 + 2 x + 4 x^{2}$ $0$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.4.d $1$ $\F_{2^{2}}$ $1 + 3 x + 4 x^{2}$ $1$ \(\Q(\sqrt{-7}) \) $C_2$ simple
1.4.e $1$ $\F_{2^{2}}$ $( 1 + 2 x )^{2}$ $0$ \(\Q\) Trivial simple
2.4.ai_y $2$ $\F_{2^{2}}$ $( 1 - 2 x )^{4}$ $0$ \(\Q\) Trivial 1.4.ae 2
2.4.ah_u $2$ $\F_{2^{2}}$ $( 1 - 2 x )^{2}( 1 - 3 x + 4 x^{2} )$ $1$ \(\Q\), \(\Q(\sqrt{-7}) \) Trivial, $C_2$ 1.4.ae $\times$ 1.4.ad
2.4.ag_q $2$ $\F_{2^{2}}$ $( 1 - 2 x )^{2}( 1 - 2 x + 4 x^{2} )$ $0$ \(\Q\), \(\Q(\sqrt{-3}) \) Trivial, $C_2$ 1.4.ae $\times$ 1.4.ac
2.4.ag_r $2$ $\F_{2^{2}}$ $( 1 - 3 x + 4 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-7}) \) $C_2$ 1.4.ad 2
2.4.af_m $2$ $\F_{2^{2}}$ $( 1 - 2 x )^{2}( 1 - x + 4 x^{2} )$ $1$ \(\Q\), \(\Q(\sqrt{-15}) \) Trivial, $C_2$ 1.4.ae $\times$ 1.4.ab
2.4.af_n $2$ $\F_{2^{2}}$ $1 - 5 x + 13 x^{2} - 20 x^{3} + 16 x^{4}$ $2$ 4.0.1025.1 $D_{4}$ simple
2.4.af_o $2$ $\F_{2^{2}}$ $( 1 - 3 x + 4 x^{2} )( 1 - 2 x + 4 x^{2} )$ $1$ \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-3}) \) $C_2$, $C_2$ 1.4.ad $\times$ 1.4.ac
2.4.ae_i $2$ $\F_{2^{2}}$ $( 1 - 2 x )^{2}( 1 + 4 x^{2} )$ $0$ \(\Q\), \(\Q(\sqrt{-1}) \) Trivial, $C_2$ 1.4.ae $\times$ 1.4.a
2.4.ae_j $2$ $\F_{2^{2}}$ $1 - 4 x + 9 x^{2} - 16 x^{3} + 16 x^{4}$ $2$ 4.0.4752.1 $D_{4}$ simple
2.4.ae_l $2$ $\F_{2^{2}}$ $( 1 - 3 x + 4 x^{2} )( 1 - x + 4 x^{2} )$ $2$ \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-15}) \) $C_2$, $C_2$ 1.4.ad $\times$ 1.4.ab
2.4.ae_m $2$ $\F_{2^{2}}$ $( 1 - 2 x + 4 x^{2} )^{2}$ $0$ \(\Q(\sqrt{-3}) \) $C_2$ 1.4.ac 2
2.4.ad_e $2$ $\F_{2^{2}}$ $( 1 - 2 x )^{2}( 1 + x + 4 x^{2} )$ $1$ \(\Q\), \(\Q(\sqrt{-15}) \) Trivial, $C_2$ 1.4.ae $\times$ 1.4.b
2.4.ad_f $2$ $\F_{2^{2}}$ $1 - 3 x + 5 x^{2} - 12 x^{3} + 16 x^{4}$ $2$ \(\Q(\sqrt{-3}, \sqrt{-7})\) $C_2^2$ simple
2.4.ad_g $2$ $\F_{2^{2}}$ $1 - 3 x + 6 x^{2} - 12 x^{3} + 16 x^{4}$ $1$ 4.0.3757.1 $D_{4}$ simple
2.4.ad_h $2$ $\F_{2^{2}}$ $1 - 3 x + 7 x^{2} - 12 x^{3} + 16 x^{4}$ $2$ \(\Q(\sqrt{-3}, \sqrt{13})\) $C_2^2$ simple
2.4.ad_i $2$ $\F_{2^{2}}$ $( 1 - 3 x + 4 x^{2} )( 1 + 4 x^{2} )$ $1$ \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-1}) \) $C_2$, $C_2$ 1.4.ad $\times$ 1.4.a
2.4.ad_j $2$ $\F_{2^{2}}$ $1 - 3 x + 9 x^{2} - 12 x^{3} + 16 x^{4}$ $2$ 4.0.3625.1 $D_{4}$ simple
2.4.ad_k $2$ $\F_{2^{2}}$ $( 1 - 2 x + 4 x^{2} )( 1 - x + 4 x^{2} )$ $1$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-15}) \) $C_2$, $C_2$ 1.4.ac $\times$ 1.4.ab
2.4.ac_a $2$ $\F_{2^{2}}$ $( 1 - 2 x )^{2}( 1 + 2 x + 4 x^{2} )$ $0$ \(\Q\), \(\Q(\sqrt{-3}) \) Trivial, $C_2$ 1.4.ae $\times$ 1.4.c
2.4.ac_b $2$ $\F_{2^{2}}$ $1 - 2 x + x^{2} - 8 x^{3} + 16 x^{4}$ $2$ 4.0.1088.2 $D_{4}$ simple
2.4.ac_d $2$ $\F_{2^{2}}$ $1 - 2 x + 3 x^{2} - 8 x^{3} + 16 x^{4}$ $2$ 4.0.32832.1 $D_{4}$ simple
2.4.ac_e $2$ $\F_{2^{2}}$ $1 - 2 x + 4 x^{2} - 8 x^{3} + 16 x^{4}$ $0$ \(\Q(\zeta_{5})\) $C_4$ simple
2.4.ac_f $2$ $\F_{2^{2}}$ $( 1 - 3 x + 4 x^{2} )( 1 + x + 4 x^{2} )$ $2$ \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-15}) \) $C_2$, $C_2$ 1.4.ad $\times$ 1.4.b
2.4.ac_h $2$ $\F_{2^{2}}$ $1 - 2 x + 7 x^{2} - 8 x^{3} + 16 x^{4}$ $2$ 4.0.10304.1 $D_{4}$ simple
2.4.ac_i $2$ $\F_{2^{2}}$ $( 1 - 2 x + 4 x^{2} )( 1 + 4 x^{2} )$ $0$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1}) \) $C_2$, $C_2$ 1.4.ac $\times$ 1.4.a
2.4.ac_j $2$ $\F_{2^{2}}$ $( 1 - x + 4 x^{2} )^{2}$ $2$ \(\Q(\sqrt{-15}) \) $C_2$ 1.4.ab 2
2.4.ab_ae $2$ $\F_{2^{2}}$ $( 1 - 2 x )^{2}( 1 + 3 x + 4 x^{2} )$ $1$ \(\Q\), \(\Q(\sqrt{-7}) \) Trivial, $C_2$ 1.4.ae $\times$ 1.4.d
2.4.ab_ad $2$ $\F_{2^{2}}$ $1 - x - 3 x^{2} - 4 x^{3} + 16 x^{4}$ $2$ \(\Q(\sqrt{-3}, \sqrt{5})\) $C_2^2$ simple
2.4.ab_ac $2$ $\F_{2^{2}}$ $1 - x - 2 x^{2} - 4 x^{3} + 16 x^{4}$ $1$ 4.0.8405.1 $D_{4}$ simple
2.4.ab_ab $2$ $\F_{2^{2}}$ $1 - x - x^{2} - 4 x^{3} + 16 x^{4}$ $2$ 4.0.45177.1 $D_{4}$ simple
2.4.ab_a $2$ $\F_{2^{2}}$ $1 - x - 4 x^{3} + 16 x^{4}$ $1$ 4.0.13068.1 $D_{4}$ simple
2.4.ab_b $2$ $\F_{2^{2}}$ $1 - x + x^{2} - 4 x^{3} + 16 x^{4}$ $2$ 4.0.54665.1 $D_{4}$ simple
2.4.ab_c $2$ $\F_{2^{2}}$ $( 1 - 3 x + 4 x^{2} )( 1 + 2 x + 4 x^{2} )$ $1$ \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-3}) \) $C_2$, $C_2$ 1.4.ad $\times$ 1.4.c
2.4.ab_d $2$ $\F_{2^{2}}$ $1 - x + 3 x^{2} - 4 x^{3} + 16 x^{4}$ $2$ 4.0.46305.1 $D_{4}$ simple
2.4.ab_e $2$ $\F_{2^{2}}$ $1 - x + 4 x^{2} - 4 x^{3} + 16 x^{4}$ $1$ 4.0.2312.1 $D_{4}$ simple
2.4.ab_f $2$ $\F_{2^{2}}$ $1 - x + 5 x^{2} - 4 x^{3} + 16 x^{4}$ $2$ 4.0.2873.1 $D_{4}$ simple
2.4.ab_g $2$ $\F_{2^{2}}$ $( 1 - 2 x + 4 x^{2} )( 1 + x + 4 x^{2} )$ $1$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-15}) \) $C_2$, $C_2$ 1.4.ac $\times$ 1.4.b
2.4.ab_h $2$ $\F_{2^{2}}$ $1 - x + 7 x^{2} - 4 x^{3} + 16 x^{4}$ $2$ 4.0.5225.1 $D_{4}$ simple
2.4.ab_i $2$ $\F_{2^{2}}$ $( 1 - x + 4 x^{2} )( 1 + 4 x^{2} )$ $1$ \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-1}) \) $C_2$, $C_2$ 1.4.ab $\times$ 1.4.a
2.4.a_ai $2$ $\F_{2^{2}}$ $( 1 - 2 x )^{2}( 1 + 2 x )^{2}$ $0$ \(\Q\), \(\Q\) Trivial, Trivial 1.4.ae $\times$ 1.4.e
2.4.a_ah $2$ $\F_{2^{2}}$ $1 - 7 x^{2} + 16 x^{4}$ $2$ \(\Q(i, \sqrt{15})\) $C_2^2$ simple
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