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Results (1-50 of 547 matches)

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Label Dimension Base field L-polynomial $p$-rank Number fields Galois groups Isogeny factors
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.a_i $2$ $\F_{2^{2}}$ $( 1 + 4 x^{2} )^{2}$ $0$ \(\Q(\sqrt{-1}) \) $C_2$ 1.4.a 2
2.4.e_i $2$ $\F_{2^{2}}$ $( 1 + 2 x )^{2}( 1 + 4 x^{2} )$ $0$ \(\Q(\sqrt{-1}) \), \(\Q\) $C_2$, Trivial 1.4.a $\times$ 1.4.e
2.5.a_k $2$ $\F_{5}$ $( 1 + 5 x^{2} )^{2}$ $0$ \(\Q(\sqrt{-5}) \) $C_2$ 1.5.a 2
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.a_s $2$ $\F_{3^{2}}$ $( 1 + 9 x^{2} )^{2}$ $0$ \(\Q(\sqrt{-1}) \) $C_2$ 1.9.a 2
2.9.g_s $2$ $\F_{3^{2}}$ $( 1 + 3 x )^{2}( 1 + 9 x^{2} )$ $0$ \(\Q(\sqrt{-1}) \), \(\Q\) $C_2$, Trivial 1.9.a $\times$ 1.9.g
2.16.ai_bg $2$ $\F_{2^{4}}$ $( 1 - 4 x )^{2}( 1 + 16 x^{2} )$ $0$ \(\Q\), \(\Q(\sqrt{-1}) \) Trivial, $C_2$ 1.16.ai $\times$ 1.16.a
2.16.a_bg $2$ $\F_{2^{4}}$ $( 1 + 16 x^{2} )^{2}$ $0$ \(\Q(\sqrt{-1}) \) $C_2$ 1.16.a 2
2.16.i_bg $2$ $\F_{2^{4}}$ $( 1 + 4 x )^{2}( 1 + 16 x^{2} )$ $0$ \(\Q(\sqrt{-1}) \), \(\Q\) $C_2$, Trivial 1.16.a $\times$ 1.16.i
2.25.a_by $2$ $\F_{5^{2}}$ $( 1 + 25 x^{2} )^{2}$ $0$ \(\Q(\sqrt{-1}) \) $C_2$ simple
2.49.ao_du $2$ $\F_{7^{2}}$ $( 1 - 7 x )^{2}( 1 + 49 x^{2} )$ $0$ \(\Q\), \(\Q(\sqrt{-1}) \) Trivial, $C_2$ 1.49.ao $\times$ 1.49.a
2.49.a_du $2$ $\F_{7^{2}}$ $( 1 + 49 x^{2} )^{2}$ $0$ \(\Q(\sqrt{-1}) \) $C_2$ 1.49.a 2
2.49.o_du $2$ $\F_{7^{2}}$ $( 1 + 7 x )^{2}( 1 + 49 x^{2} )$ $0$ \(\Q(\sqrt{-1}) \), \(\Q\) $C_2$, Trivial 1.49.a $\times$ 1.49.o
2.64.aq_ey $2$ $\F_{2^{6}}$ $( 1 - 8 x )^{2}( 1 + 64 x^{2} )$ $0$ \(\Q\), \(\Q(\sqrt{-1}) \) Trivial, $C_2$ 1.64.aq $\times$ 1.64.a
2.64.a_ey $2$ $\F_{2^{6}}$ $( 1 + 64 x^{2} )^{2}$ $0$ \(\Q(\sqrt{-1}) \) $C_2$ 1.64.a 2
2.64.q_ey $2$ $\F_{2^{6}}$ $( 1 + 8 x )^{2}( 1 + 64 x^{2} )$ $0$ \(\Q(\sqrt{-1}) \), \(\Q\) $C_2$, Trivial 1.64.a $\times$ 1.64.q
2.81.as_gg $2$ $\F_{3^{4}}$ $( 1 - 9 x )^{2}( 1 + 81 x^{2} )$ $0$ \(\Q\), \(\Q(\sqrt{-1}) \) Trivial, $C_2$ 1.81.as $\times$ 1.81.a
2.81.a_gg $2$ $\F_{3^{4}}$ $( 1 + 81 x^{2} )^{2}$ $0$ \(\Q(\sqrt{-1}) \) $C_2$ 1.81.a 2
2.81.s_gg $2$ $\F_{3^{4}}$ $( 1 + 9 x )^{2}( 1 + 81 x^{2} )$ $0$ \(\Q(\sqrt{-1}) \), \(\Q\) $C_2$, Trivial 1.81.a $\times$ 1.81.s
2.125.a_jq $2$ $\F_{5^{3}}$ $( 1 + 125 x^{2} )^{2}$ $0$ \(\Q(\sqrt{-5}) \) $C_2$ 1.125.a 2
2.169.a_na $2$ $\F_{13^{2}}$ $( 1 + 169 x^{2} )^{2}$ $0$ \(\Q(\sqrt{-1}) \) $C_2$ simple
2.256.abg_ts $2$ $\F_{2^{8}}$ $( 1 - 16 x )^{2}( 1 + 256 x^{2} )$ $0$ \(\Q\), \(\Q(\sqrt{-1}) \) Trivial, $C_2$ 1.256.abg $\times$ 1.256.a
2.256.a_ts $2$ $\F_{2^{8}}$ $( 1 + 256 x^{2} )^{2}$ $0$ \(\Q(\sqrt{-1}) \) $C_2$ 1.256.a 2
2.256.bg_ts $2$ $\F_{2^{8}}$ $( 1 + 16 x )^{2}( 1 + 256 x^{2} )$ $0$ \(\Q(\sqrt{-1}) \), \(\Q\) $C_2$, Trivial 1.256.a $\times$ 1.256.bg
2.625.a_bwc $2$ $\F_{5^{4}}$ $( 1 + 625 x^{2} )^{2}$ $0$ \(\Q(\sqrt{-1}) \) $C_2$ simple
2.729.acc_cec $2$ $\F_{3^{6}}$ $( 1 - 27 x )^{2}( 1 + 729 x^{2} )$ $0$ \(\Q\), \(\Q(\sqrt{-1}) \) Trivial, $C_2$ 1.729.acc $\times$ 1.729.a
2.729.a_cec $2$ $\F_{3^{6}}$ $( 1 + 729 x^{2} )^{2}$ $0$ \(\Q(\sqrt{-1}) \) $C_2$ 1.729.a 2
2.729.cc_cec $2$ $\F_{3^{6}}$ $( 1 + 27 x )^{2}( 1 + 729 x^{2} )$ $0$ \(\Q(\sqrt{-1}) \), \(\Q\) $C_2$, Trivial 1.729.a $\times$ 1.729.cc
2.1024.acm_dau $2$ $\F_{2^{10}}$ $( 1 - 32 x )^{2}( 1 + 1024 x^{2} )$ $0$ \(\Q\), \(\Q(\sqrt{-1}) \) Trivial, $C_2$ 1.1024.acm $\times$ 1.1024.a
2.1024.a_dau $2$ $\F_{2^{10}}$ $( 1 + 1024 x^{2} )^{2}$ $0$ \(\Q(\sqrt{-1}) \) $C_2$ 1.1024.a 2
2.1024.cm_dau $2$ $\F_{2^{10}}$ $( 1 + 32 x )^{2}( 1 + 1024 x^{2} )$ $0$ \(\Q(\sqrt{-1}) \), \(\Q\) $C_2$, Trivial 1.1024.a $\times$ 1.1024.cm
3.4.ah_y_ace $3$ $\F_{2^{2}}$ $( 1 - 2 x )^{2}( 1 - 3 x + 4 x^{2} )( 1 + 4 x^{2} )$ $1$ \(\Q\), \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-1}) \) Trivial, $C_2$, $C_2$ 1.4.ae $\times$ 1.4.ad $\times$ 1.4.a
3.4.af_q_abo $3$ $\F_{2^{2}}$ $( 1 - 2 x )^{2}( 1 - x + 4 x^{2} )( 1 + 4 x^{2} )$ $1$ \(\Q\), \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-1}) \) Trivial, $C_2$, $C_2$ 1.4.ae $\times$ 1.4.ab $\times$ 1.4.a
3.4.ad_i_ay $3$ $\F_{2^{2}}$ $( 1 - 2 x )^{2}( 1 + 4 x^{2} )( 1 + x + 4 x^{2} )$ $1$ \(\Q\), \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-15}) \) Trivial, $C_2$, $C_2$ 1.4.ae $\times$ 1.4.a $\times$ 1.4.b
3.4.ad_m_ay $3$ $\F_{2^{2}}$ $( 1 - 3 x + 4 x^{2} )( 1 + 4 x^{2} )^{2}$ $1$ \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-1}) \) $C_2$, $C_2$ 1.4.ad $\times$ 1.4.a 2
3.4.ab_a_ai $3$ $\F_{2^{2}}$ $( 1 - 2 x )^{2}( 1 + 4 x^{2} )( 1 + 3 x + 4 x^{2} )$ $1$ \(\Q\), \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-7}) \) Trivial, $C_2$, $C_2$ 1.4.ae $\times$ 1.4.a $\times$ 1.4.d
3.4.ab_m_ai $3$ $\F_{2^{2}}$ $( 1 - x + 4 x^{2} )( 1 + 4 x^{2} )^{2}$ $1$ \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-1}) \) $C_2$, $C_2$ 1.4.ab $\times$ 1.4.a 2
3.4.b_a_i $3$ $\F_{2^{2}}$ $( 1 + 2 x )^{2}( 1 - 3 x + 4 x^{2} )( 1 + 4 x^{2} )$ $1$ \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-1}) \), \(\Q\) $C_2$, $C_2$, Trivial 1.4.ad $\times$ 1.4.a $\times$ 1.4.e
3.4.b_m_i $3$ $\F_{2^{2}}$ $( 1 + x + 4 x^{2} )( 1 + 4 x^{2} )^{2}$ $1$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-15}) \) $C_2$, $C_2$ 1.4.a 2 $\times$ 1.4.b
3.4.d_i_y $3$ $\F_{2^{2}}$ $( 1 + 2 x )^{2}( 1 - x + 4 x^{2} )( 1 + 4 x^{2} )$ $1$ \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-1}) \), \(\Q\) $C_2$, $C_2$, Trivial 1.4.ab $\times$ 1.4.a $\times$ 1.4.e
3.4.d_m_y $3$ $\F_{2^{2}}$ $( 1 + 3 x + 4 x^{2} )( 1 + 4 x^{2} )^{2}$ $1$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-7}) \) $C_2$, $C_2$ 1.4.a 2 $\times$ 1.4.d
3.4.f_q_bo $3$ $\F_{2^{2}}$ $( 1 + 2 x )^{2}( 1 + 4 x^{2} )( 1 + x + 4 x^{2} )$ $1$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-15}) \), \(\Q\) $C_2$, $C_2$, Trivial 1.4.a $\times$ 1.4.b $\times$ 1.4.e
3.4.h_y_ce $3$ $\F_{2^{2}}$ $( 1 + 2 x )^{2}( 1 + 4 x^{2} )( 1 + 3 x + 4 x^{2} )$ $1$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-7}) \), \(\Q\) $C_2$, $C_2$, Trivial 1.4.a $\times$ 1.4.d $\times$ 1.4.e
3.5.ae_af_bo $3$ $\F_{5}$ $( 1 - 4 x + 5 x^{2} )( 1 - 5 x^{2} )^{2}$ $1$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{5}) \) $C_2$, $C_2$ 1.5.ae $\times$ 2.5.a_ak
3.5.ae_p_abo $3$ $\F_{5}$ $( 1 - 4 x + 5 x^{2} )( 1 + 5 x^{2} )^{2}$ $1$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-5}) \) $C_2$, $C_2$ 1.5.ae $\times$ 1.5.a 2
3.5.ad_p_abe $3$ $\F_{5}$ $( 1 - 3 x + 5 x^{2} )( 1 + 5 x^{2} )^{2}$ $1$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-5}) \) $C_2$, $C_2$ 1.5.ad $\times$ 1.5.a 2
3.5.ac_af_u $3$ $\F_{5}$ $( 1 - 2 x + 5 x^{2} )( 1 - 5 x^{2} )^{2}$ $1$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{5}) \) $C_2$, $C_2$ 1.5.ac $\times$ 2.5.a_ak
3.5.ac_p_au $3$ $\F_{5}$ $( 1 - 2 x + 5 x^{2} )( 1 + 5 x^{2} )^{2}$ $1$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-5}) \) $C_2$, $C_2$ 1.5.ac $\times$ 1.5.a 2
3.5.ab_p_ak $3$ $\F_{5}$ $( 1 - x + 5 x^{2} )( 1 + 5 x^{2} )^{2}$ $1$ \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-5}) \) $C_2$, $C_2$ 1.5.ab $\times$ 1.5.a 2
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