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Results (1-50 of 108 matches)

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Label Dimension Base field L-polynomial $p$-rank Isogeny factors
3.2.ad_c_b $3$ $\F_{2}$ $1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6}$ $3$ simple
3.2.ad_d_ac $3$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ $2$ 1.2.ac $\times$ 2.2.ab_ab
3.2.ad_e_ae $3$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - x - 2 x^{3} + 4 x^{4} )$ $1$ 1.2.ac $\times$ 2.2.ab_a
3.2.ad_f_ah $3$ $\F_{2}$ $1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6}$ $3$ simple
3.2.ad_g_ak $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ $1$ 1.2.ab $\times$ 2.2.ac_c
3.2.ad_g_ai $3$ $\F_{2}$ $( 1 + x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}$ $1$ 1.2.ac 2 $\times$ 1.2.b
3.2.ad_h_al $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ $3$ 1.2.ab $\times$ 2.2.ac_d
3.2.ad_j_an $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )^{3}$ $3$ 1.2.ab 3
3.2.ac_a_d $3$ $\F_{2}$ $1 - 2 x + 3 x^{3} - 8 x^{5} + 8 x^{6}$ $3$ simple
3.2.ac_a_e $3$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - 2 x^{2} + 4 x^{4} )$ $0$ 1.2.ac $\times$ 2.2.a_ac
3.2.ac_b_a $3$ $\F_{2}$ $1 - 2 x + x^{2} + 2 x^{4} - 8 x^{5} + 8 x^{6}$ $2$ simple
3.2.ac_b_b $3$ $\F_{2}$ $1 - 2 x + x^{2} + x^{3} + 2 x^{4} - 8 x^{5} + 8 x^{6}$ $3$ simple
3.2.ac_c_ad $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ $3$ 1.2.ab $\times$ 2.2.ab_ab
3.2.ac_c_ac $3$ $\F_{2}$ $1 - 2 x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6}$ $0$ simple
3.2.ac_c_ab $3$ $\F_{2}$ $1 - 2 x + 2 x^{2} - x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6}$ $3$ simple
3.2.ac_d_ag $3$ $\F_{2}$ $1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6}$ $2$ simple
3.2.ac_d_ae $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - x - 2 x^{3} + 4 x^{4} )$ $2$ 1.2.ab $\times$ 2.2.ab_a
3.2.ac_e_ah $3$ $\F_{2}$ $( 1 + x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ $3$ 1.2.b $\times$ 2.2.ad_f
3.2.ac_e_ag $3$ $\F_{2}$ $1 - 2 x + 4 x^{2} - 6 x^{3} + 8 x^{4} - 8 x^{5} + 8 x^{6}$ $0$ simple
3.2.ac_e_af $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ $3$ 1.2.ab $\times$ 2.2.ab_b
3.2.ab_ab_c $3$ $\F_{2}$ $1 - x - x^{2} + 2 x^{3} - 2 x^{4} - 4 x^{5} + 8 x^{6}$ $2$ simple
3.2.ab_ab_d $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - 3 x^{2} + 4 x^{4} )$ $3$ 1.2.ab $\times$ 2.2.a_ad
3.2.ab_ab_e $3$ $\F_{2}$ $1 - x - x^{2} + 4 x^{3} - 2 x^{4} - 4 x^{5} + 8 x^{6}$ $2$ simple
3.2.ab_ab_f $3$ $\F_{2}$ $1 - x - x^{2} + 5 x^{3} - 2 x^{4} - 4 x^{5} + 8 x^{6}$ $3$ simple
3.2.ab_a_a $3$ $\F_{2}$ $1 - x - 4 x^{5} + 8 x^{6}$ $1$ simple
3.2.ab_a_b $3$ $\F_{2}$ $1 - x + x^{3} - 4 x^{5} + 8 x^{6}$ $3$ simple
3.2.ab_a_c $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - 2 x^{2} + 4 x^{4} )$ $1$ 1.2.ab $\times$ 2.2.a_ac
3.2.ab_a_d $3$ $\F_{2}$ $1 - x + 3 x^{3} - 4 x^{5} + 8 x^{6}$ $3$ simple
3.2.ab_a_e $3$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + x + 2 x^{3} + 4 x^{4} )$ $1$ 1.2.ac $\times$ 2.2.b_a
3.2.ab_b_ad $3$ $\F_{2}$ $1 - x + x^{2} - 3 x^{3} + 2 x^{4} - 4 x^{5} + 8 x^{6}$ $3$ simple
3.2.ab_b_ab $3$ $\F_{2}$ $1 - x + x^{2} - x^{3} + 2 x^{4} - 4 x^{5} + 8 x^{6}$ $3$ simple
3.2.ab_b_a $3$ $\F_{2}$ $1 - x + x^{2} + 2 x^{4} - 4 x^{5} + 8 x^{6}$ $2$ simple
3.2.ab_b_b $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 - x^{2} + 4 x^{4} )$ $3$ 1.2.ab $\times$ 2.2.a_ab
3.2.ab_b_c $3$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + x + x^{2} + 2 x^{3} + 4 x^{4} )$ $2$ 1.2.ac $\times$ 2.2.b_b
3.2.ab_c_ae $3$ $\F_{2}$ $( 1 + 2 x^{2} )( 1 - x - 2 x^{3} + 4 x^{4} )$ $1$ 1.2.a $\times$ 2.2.ab_a
3.2.ab_c_ac $3$ $\F_{2}$ $1 - x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 4 x^{5} + 8 x^{6}$ $1$ simple
3.2.ab_c_ab $3$ $\F_{2}$ $1 - x + 2 x^{2} - x^{3} + 4 x^{4} - 4 x^{5} + 8 x^{6}$ $3$ simple
3.2.ab_c_a $3$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )$ $1$ 1.2.ac $\times$ 1.2.ab $\times$ 1.2.c
3.2.ab_d_af $3$ $\F_{2}$ $( 1 + x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ $3$ 1.2.b $\times$ 2.2.ac_d
3.2.ab_d_ad $3$ $\F_{2}$ $1 - x + 3 x^{2} - 3 x^{3} + 6 x^{4} - 4 x^{5} + 8 x^{6}$ $3$ simple
3.2.ab_d_ab $3$ $\F_{2}$ $( 1 - x + 2 x^{2} )( 1 + x^{2} + 4 x^{4} )$ $3$ 1.2.ab $\times$ 2.2.a_b
3.2.ab_e_ae $3$ $\F_{2}$ $( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )( 1 + x + 2 x^{2} )$ $1$ 1.2.ac $\times$ 1.2.a $\times$ 1.2.b
3.2.a_ab_ac $3$ $\F_{2}$ $1 - x^{2} - 2 x^{3} - 2 x^{4} + 8 x^{6}$ $2$ simple
3.2.a_ab_b $3$ $\F_{2}$ $1 - x^{2} + x^{3} - 2 x^{4} + 8 x^{6}$ $3$ simple
3.2.a_ab_c $3$ $\F_{2}$ $1 - x^{2} + 2 x^{3} - 2 x^{4} + 8 x^{6}$ $2$ simple
3.2.a_a_ac $3$ $\F_{2}$ $1 - 2 x^{3} + 8 x^{6}$ $0$ simple
3.2.a_a_ab $3$ $\F_{2}$ $1 - x^{3} + 8 x^{6}$ $3$ simple
3.2.a_a_a $3$ $\F_{2}$ $( 1 + 2 x^{2} )( 1 - 2 x^{2} + 4 x^{4} )$ $0$ 1.2.a $\times$ 2.2.a_ac
3.2.a_a_b $3$ $\F_{2}$ $1 + x^{3} + 8 x^{6}$ $3$ simple
3.2.a_a_c $3$ $\F_{2}$ $1 + 2 x^{3} + 8 x^{6}$ $0$ simple
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