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Results (44 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
3.2.ad_f_ah $3$ $\F_{2}$ $1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6}$ $3$
3.2.ad_g_ak $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ $1$
3.2.ad_g_ai $3$ $\F_{2}$ $( 1 + x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}$ $1$
3.2.ad_h_al $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ $3$
3.2.ac_c_ad $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ $3$
3.2.ac_c_ac $3$ $\F_{2}$ $1 - 2 x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6}$ $0$
3.2.ac_c_ab $3$ $\F_{2}$ $1 - 2 x + 2 x^{2} - x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6}$ $3$
3.2.ac_d_ag $3$ $\F_{2}$ $1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6}$ $2$
3.2.ac_d_ae $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - x - 2 x^{3} + 4 x^{4} )$ $2$
3.2.ac_e_ah $3$ $\F_{2}$ $( 1 + x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ $3$
3.2.ac_e_ag $3$ $\F_{2}$ $1 - 2 x + 4 x^{2} - 6 x^{3} + 8 x^{4} - 8 x^{5} + 8 x^{6}$ $0$
3.2.ac_e_af $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ $3$
3.2.ab_a_c $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - 2 x^{2} + 4 x^{4} )$ $1$
3.2.ab_b_ab $3$ $\F_{2}$ $1 - x + x^{2} - x^{3} + 2 x^{4} - 4 x^{5} + 8 x^{6}$ $3$
3.2.ab_c_a $3$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )$ $1$
3.2.ab_d_af $3$ $\F_{2}$ $( 1 + x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ $3$
3.2.ab_d_ab $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 + x^{2} + 4 x^{4} )$ $3$
3.2.a_ab_ac $3$ $\F_{2}$ $1 - x^{2} - 2 x^{3} - 2 x^{4} + 8 x^{6}$ $2$
3.2.a_ab_c $3$ $\F_{2}$ $1 - x^{2} + 2 x^{3} - 2 x^{4} + 8 x^{6}$ $2$
3.2.a_a_ac $3$ $\F_{2}$ $1 - 2 x^{3} + 8 x^{6}$ $0$
3.2.a_a_ab $3$ $\F_{2}$ $1 - x^{3} + 8 x^{6}$ $3$
3.2.a_a_b $3$ $\F_{2}$ $1 + x^{3} + 8 x^{6}$ $3$
3.2.a_a_c $3$ $\F_{2}$ $1 + 2 x^{3} + 8 x^{6}$ $0$
3.2.a_b_ac $3$ $\F_{2}$ $( 1 + 2 x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ $2$
3.2.a_b_c $3$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + 2 x + 3 x^{2} + 4 x^{3} + 4 x^{4} )$ $2$
3.2.a_c_ac $3$ $\F_{2}$ $1 + 2 x^{2} - 2 x^{3} + 4 x^{4} + 8 x^{6}$ $0$
3.2.a_c_c $3$ $\F_{2}$ $1 + 2 x^{2} + 2 x^{3} + 4 x^{4} + 8 x^{6}$ $0$
3.2.b_a_ac $3$ $\F_{2}$ $( 1 + x + 2 x^{2} )( 1 - 2 x^{2} + 4 x^{4} )$ $1$
3.2.b_b_b $3$ $\F_{2}$ $1 + x + x^{2} + x^{3} + 2 x^{4} + 4 x^{5} + 8 x^{6}$ $3$
3.2.b_c_a $3$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )$ $1$
3.2.b_d_b $3$ $\F_{2}$ $( 1 + x + 2 x^{2} )( 1 + x^{2} + 4 x^{4} )$ $3$
3.2.b_d_f $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 + 2 x + 3 x^{2} + 4 x^{3} + 4 x^{4} )$ $3$
3.2.c_c_b $3$ $\F_{2}$ $1 + 2 x + 2 x^{2} + x^{3} + 4 x^{4} + 8 x^{5} + 8 x^{6}$ $3$
3.2.c_c_c $3$ $\F_{2}$ $1 + 2 x + 2 x^{2} + 2 x^{3} + 4 x^{4} + 8 x^{5} + 8 x^{6}$ $0$
3.2.c_c_d $3$ $\F_{2}$ $( 1 + x + 2 x^{2} )( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )$ $3$
3.2.c_d_e $3$ $\F_{2}$ $( 1 + x + 2 x^{2} )( 1 + x + 2 x^{3} + 4 x^{4} )$ $2$
3.2.c_d_g $3$ $\F_{2}$ $1 + 2 x + 3 x^{2} + 6 x^{3} + 6 x^{4} + 8 x^{5} + 8 x^{6}$ $2$
3.2.c_e_f $3$ $\F_{2}$ $( 1 + x + 2 x^{2} )( 1 + x + x^{2} + 2 x^{3} + 4 x^{4} )$ $3$
3.2.c_e_g $3$ $\F_{2}$ $1 + 2 x + 4 x^{2} + 6 x^{3} + 8 x^{4} + 8 x^{5} + 8 x^{6}$ $0$
3.2.c_e_h $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 + 3 x + 5 x^{2} + 6 x^{3} + 4 x^{4} )$ $3$
3.2.d_f_h $3$ $\F_{2}$ $1 + 3 x + 5 x^{2} + 7 x^{3} + 10 x^{4} + 12 x^{5} + 8 x^{6}$ $3$
3.2.d_g_i $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )^{2}$ $1$
3.2.d_g_k $3$ $\F_{2}$ $( 1 + x + 2 x^{2} )( 1 + 2 x + 2 x^{2} + 4 x^{3} + 4 x^{4} )$ $1$
3.2.d_h_l $3$ $\F_{2}$ $( 1 + x + 2 x^{2} )( 1 + 2 x + 3 x^{2} + 4 x^{3} + 4 x^{4} )$ $3$
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