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Label | Dimension | Base field | L-polynomial | $p$-rank | Isogeny factors |
---|---|---|---|---|---|
3.2.af_n_aw | $3$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac $\times$ 2.2.ad_f |
3.2.af_o_ay | $3$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}$ | $1$ | 1.2.ac 2 $\times$ 1.2.ab |
3.2.ae_j_ap | $3$ | $\F_{2}$ | $1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6}$ | $3$ | simple |
3.2.ae_l_as | $3$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )^{2}$ | $2$ | 1.2.ac $\times$ 1.2.ab 2 |
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_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_am | $3$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ | $2$ | 1.2.a $\times$ 2.2.ad_f |
3.2.ad_i_am | $3$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )$ | $1$ | 1.2.ac $\times$ 1.2.ab $\times$ 1.2.a |
3.2.ad_j_an | $3$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )^{3}$ | $3$ | 1.2.ab 3 |
3.2.ac_ab_g | $3$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - 3 x^{2} + 4 x^{4} )$ | $2$ | 1.2.ac $\times$ 2.2.a_ad |
3.2.ac_b_c | $3$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x^{2} + 4 x^{4} )$ | $2$ | 1.2.ac $\times$ 2.2.a_ab |
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_d_ac | $3$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + x^{2} + 4 x^{4} )$ | $2$ | 1.2.ac $\times$ 2.2.a_b |
3.2.ac_f_ag | $3$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 + x + 2 x^{2} )$ | $2$ | 1.2.ac $\times$ 1.2.ab $\times$ 1.2.b |
3.2.ac_h_ai | $3$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - x + 2 x^{2} )^{2}$ | $2$ | 1.2.ab 2 $\times$ 1.2.a |
3.2.ab_ac_e | $3$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 - 2 x^{2} )^{2}$ | $1$ | 1.2.ab $\times$ 2.2.a_ae |
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_g | $3$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac $\times$ 2.2.b_ab |
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_b_ae | $3$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ | $2$ | 1.2.a $\times$ 2.2.ab_ab |
3.2.ab_b_ac | $3$ | $\F_{2}$ | $( 1 + 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ | $2$ | 1.2.c $\times$ 2.2.ad_f |
3.2.ab_c_ag | $3$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ | $1$ | 1.2.b $\times$ 2.2.ac_c |
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_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.ab_e_ac | $3$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} + 4 x^{4} )$ | $1$ | 1.2.ab $\times$ 2.2.a_c |
3.2.ab_f_ad | $3$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - x + 2 x^{2} )^{2}$ | $3$ | 1.2.ab 2 $\times$ 1.2.b |
3.2.ab_g_ae | $3$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )^{2}$ | $1$ | 1.2.ab $\times$ 1.2.a 2 |
3.2.a_ab_a | $3$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - 3 x^{2} + 4 x^{4} )$ | $2$ | 1.2.a $\times$ 2.2.a_ad |
3.2.a_a_af | $3$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ | $3$ | 1.2.b $\times$ 2.2.ab_ab |
3.2.a_a_f | $3$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )$ | $3$ | 1.2.ab $\times$ 2.2.b_ab |
3.2.a_b_a | $3$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 - x^{2} + 4 x^{4} )$ | $2$ | 1.2.a $\times$ 2.2.a_ab |
3.2.a_d_ac | $3$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + x + 2 x^{2} )^{2}$ | $2$ | 1.2.ac $\times$ 1.2.b 2 |
3.2.a_d_a | $3$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 + x^{2} + 4 x^{4} )$ | $2$ | 1.2.a $\times$ 2.2.a_b |
3.2.a_d_c | $3$ | $\F_{2}$ | $( 1 + 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )^{2}$ | $2$ | 1.2.ab 2 $\times$ 1.2.c |
3.2.a_f_a | $3$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )( 1 + x + 2 x^{2} )$ | $2$ | 1.2.ab $\times$ 1.2.a $\times$ 1.2.b |
3.2.b_ac_ae | $3$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 2 x^{2} )^{2}$ | $1$ | 1.2.b $\times$ 2.2.a_ae |
3.2.b_ab_ag | $3$ | $\F_{2}$ | $( 1 + 2 x + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ | $2$ | 1.2.c $\times$ 2.2.ab_ab |
3.2.b_ab_ad | $3$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 3 x^{2} + 4 x^{4} )$ | $3$ | 1.2.b $\times$ 2.2.a_ad |
3.2.b_a_ac | $3$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 - 2 x^{2} + 4 x^{4} )$ | $1$ | 1.2.b $\times$ 2.2.a_ac |
3.2.b_b_c | $3$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + 3 x + 5 x^{2} + 6 x^{3} + 4 x^{4} )$ | $2$ | 1.2.ac $\times$ 2.2.d_f |
3.2.b_b_e | $3$ | $\F_{2}$ | $( 1 + 2 x^{2} )( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )$ | $2$ | 1.2.a $\times$ 2.2.b_ab |
3.2.b_c_a | $3$ | $\F_{2}$ | $( 1 - 2 x + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )$ | $1$ | 1.2.ac $\times$ 1.2.b $\times$ 1.2.c |
3.2.b_c_g | $3$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x + 2 x^{2} + 4 x^{3} + 4 x^{4} )$ | $1$ | 1.2.ab $\times$ 2.2.c_c |
3.2.b_e_c | $3$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 + 2 x^{2} + 4 x^{4} )$ | $1$ | 1.2.b $\times$ 2.2.a_c |
3.2.b_e_e | $3$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )( 1 + 2 x + 2 x^{2} )$ | $1$ | 1.2.ab $\times$ 1.2.a $\times$ 1.2.c |
3.2.b_f_d | $3$ | $\F_{2}$ | $( 1 - x + 2 x^{2} )( 1 + x + 2 x^{2} )^{2}$ | $3$ | 1.2.ab $\times$ 1.2.b 2 |
3.2.b_g_e | $3$ | $\F_{2}$ | $( 1 + x + 2 x^{2} )( 1 + 2 x^{2} )^{2}$ | $1$ | 1.2.a 2 $\times$ 1.2.b |
3.2.c_ab_ag | $3$ | $\F_{2}$ | $( 1 + 2 x + 2 x^{2} )( 1 - 3 x^{2} + 4 x^{4} )$ | $2$ | 1.2.c $\times$ 2.2.a_ad |