| Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
| 6.2.ag_s_abm_co_aea_fx |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 6 x + 18 x^{2} - 38 x^{3} + 66 x^{4} - 104 x^{5} + 153 x^{6} - 208 x^{7} + 264 x^{8} - 304 x^{9} + 288 x^{10} - 192 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-3$ |
$2$ |
simple |
| 6.2.af_m_aq_d_bh_acs |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - 4 x + 6 x^{2} - 2 x^{3} - 11 x^{4} + 26 x^{5} - 22 x^{6} - 8 x^{7} + 48 x^{8} - 64 x^{9} + 32 x^{10} )$ |
$5$ |
$1$ |
$-2$ |
$4$ |
1.2.ab $\times$ 5.2.ae_g_ac_al_ba |
| 6.2.af_o_abg_cl_aef_gk |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6} )( 1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ |
$5$ |
$1$ |
$-2$ |
$4$ |
3.2.ad_f_ah $\times$ 3.2.ac_d_ag |
| 6.2.af_p_abk_cu_aev_hi |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 12 x^{5} + 8 x^{6} )( 1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ |
$5$ |
$1$ |
$-2$ |
$6$ |
3.2.ad_g_aj $\times$ 3.2.ac_d_ag |
| 6.2.af_q_abo_dd_afl_ig |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ |
$5$ |
$1$ |
$-2$ |
$8$ |
1.2.ab $\times$ 2.2.ac_d $\times$ 3.2.ac_d_ag |
| 6.2.ae_f_ac_ab_o_abj |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 5 x^{2} - 2 x^{3} - x^{4} + 14 x^{5} - 35 x^{6} + 28 x^{7} - 4 x^{8} - 16 x^{9} + 80 x^{10} - 128 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-1$ |
$2$ |
simple |
| 6.2.ae_f_c_ak_a_s |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 5 x^{2} + 2 x^{3} - 10 x^{4} + 18 x^{6} - 40 x^{8} + 16 x^{9} + 80 x^{10} - 128 x^{11} + 64 x^{12}$ |
$2$ |
$4$ |
$-1$ |
$4$ |
simple |
| 6.2.ae_f_c_ai_ai_bh |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 5 x^{2} + 2 x^{3} - 8 x^{4} - 8 x^{5} + 33 x^{6} - 16 x^{7} - 32 x^{8} + 16 x^{9} + 80 x^{10} - 128 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-1$ |
$5$ |
simple |
| 6.2.ae_g_ae_ac_s_abn |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 6 x^{2} - 4 x^{3} - 2 x^{4} + 18 x^{5} - 39 x^{6} + 36 x^{7} - 8 x^{8} - 32 x^{9} + 96 x^{10} - 128 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-1$ |
$4$ |
simple |
| 6.2.ae_g_ae_b_e_al |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 6 x^{2} - 4 x^{3} + x^{4} + 4 x^{5} - 11 x^{6} + 8 x^{7} + 4 x^{8} - 32 x^{9} + 96 x^{10} - 128 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-1$ |
$5$ |
simple |
| 6.2.ae_g_ac_ah_o_at |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 6 x^{2} - 2 x^{3} - 7 x^{4} + 14 x^{5} - 19 x^{6} + 28 x^{7} - 28 x^{8} - 16 x^{9} + 96 x^{10} - 128 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-1$ |
$5$ |
simple |
| 6.2.ae_g_ac_ag_i_ag |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 6 x^{2} - 2 x^{3} - 6 x^{4} + 8 x^{5} - 6 x^{6} + 16 x^{7} - 24 x^{8} - 16 x^{9} + 96 x^{10} - 128 x^{11} + 64 x^{12}$ |
$0$ |
$6$ |
$-1$ |
$5$ |
simple |
| 6.2.ae_h_am_z_abk_br |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 2 x - 2 x^{3} + 9 x^{4} - 4 x^{5} - 16 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-1$ |
$4$ |
2.2.ac_d $\times$ 4.2.ac_a_ac_j |
| 6.2.ae_h_ak_q_as_r |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 7 x^{2} - 10 x^{3} + 16 x^{4} - 18 x^{5} + 17 x^{6} - 36 x^{7} + 64 x^{8} - 80 x^{9} + 112 x^{10} - 128 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-1$ |
$5$ |
simple |
| 6.2.ae_h_ak_t_abi_by |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 7 x^{2} - 10 x^{3} + 19 x^{4} - 34 x^{5} + 50 x^{6} - 68 x^{7} + 76 x^{8} - 80 x^{9} + 112 x^{10} - 128 x^{11} + 64 x^{12}$ |
$4$ |
$2$ |
$-1$ |
$5$ |
simple |
| 6.2.ae_h_aj_m_at_be |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 3 x^{3} - 8 x^{5} + 8 x^{6} )( 1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ |
$5$ |
$1$ |
$-1$ |
$4$ |
3.2.ac_a_d $\times$ 3.2.ac_d_ag |
| 6.2.ae_h_ai_j_aq_bc |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 7 x^{2} - 8 x^{3} + 9 x^{4} - 16 x^{5} + 28 x^{6} - 32 x^{7} + 36 x^{8} - 64 x^{9} + 112 x^{10} - 128 x^{11} + 64 x^{12}$ |
$4$ |
$2$ |
$-1$ |
$5$ |
simple |
| 6.2.ae_h_ai_k_aw_bp |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 7 x^{2} - 8 x^{3} + 10 x^{4} - 22 x^{5} + 41 x^{6} - 44 x^{7} + 40 x^{8} - 64 x^{9} + 112 x^{10} - 128 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-1$ |
$5$ |
simple |
| 6.2.ae_h_ag_ae_w_abn |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 7 x^{2} - 6 x^{3} - 4 x^{4} + 22 x^{5} - 39 x^{6} + 44 x^{7} - 16 x^{8} - 48 x^{9} + 112 x^{10} - 128 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-1$ |
$5$ |
simple |
| 6.2.ae_h_ag_ac_y_aby |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 2 x + 4 x^{3} - 6 x^{4} + 8 x^{5} - 16 x^{7} + 16 x^{8} )$ |
$2$ |
$4$ |
$-1$ |
$10$ |
2.2.ac_d $\times$ 4.2.ac_a_e_ag |
| 6.2.ae_h_ag_f_ao_bd |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 7 x^{2} - 6 x^{3} + 5 x^{4} - 14 x^{5} + 29 x^{6} - 28 x^{7} + 20 x^{8} - 48 x^{9} + 112 x^{10} - 128 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-1$ |
$10$ |
simple |
| 6.2.ae_h_ae_ai_y_abm |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 7 x^{2} - 4 x^{3} - 8 x^{4} + 24 x^{5} - 38 x^{6} + 48 x^{7} - 32 x^{8} - 32 x^{9} + 112 x^{10} - 128 x^{11} + 64 x^{12}$ |
$2$ |
$4$ |
$-1$ |
$10$ |
simple |
| 6.2.ae_i_ao_x_abm_ci |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + x^{2} + 2 x^{4} - 8 x^{5} + 8 x^{6} )( 1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ |
$4$ |
$2$ |
$-1$ |
$4$ |
3.2.ac_b_a $\times$ 3.2.ac_d_ag |
| 6.2.ae_i_ao_z_abs_cr |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 8 x^{2} - 14 x^{3} + 25 x^{4} - 44 x^{5} + 69 x^{6} - 88 x^{7} + 100 x^{8} - 112 x^{9} + 128 x^{10} - 128 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-1$ |
$5$ |
simple |
| 6.2.ae_i_an_v_abj_cc |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + x^{2} + x^{3} + 2 x^{4} - 8 x^{5} + 8 x^{6} )( 1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ |
$5$ |
$1$ |
$-1$ |
$6$ |
3.2.ac_b_b $\times$ 3.2.ac_d_ag |
| 6.2.ae_i_ak_i_ae_c |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 8 x^{2} - 10 x^{3} + 8 x^{4} - 4 x^{5} + 2 x^{6} - 8 x^{7} + 32 x^{8} - 80 x^{9} + 128 x^{10} - 128 x^{11} + 64 x^{12}$ |
$0$ |
$6$ |
$-1$ |
$9$ |
simple |
| 6.2.ae_i_ai_ae_be_acf |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 2 x + x^{2} + 4 x^{3} - 11 x^{4} + 8 x^{5} + 4 x^{6} - 16 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-1$ |
$10$ |
2.2.ac_d $\times$ 4.2.ac_b_e_al |
| 6.2.ae_i_ai_ae_bg_acl |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 8 x^{2} - 8 x^{3} - 4 x^{4} + 32 x^{5} - 63 x^{6} + 64 x^{7} - 16 x^{8} - 64 x^{9} + 128 x^{10} - 128 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-1$ |
$10$ |
simple |
| 6.2.ae_i_ai_ad_ba_abz |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 8 x^{2} - 8 x^{3} - 3 x^{4} + 26 x^{5} - 51 x^{6} + 52 x^{7} - 12 x^{8} - 64 x^{9} + 128 x^{10} - 128 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-1$ |
$9$ |
simple |
| 6.2.ae_i_ai_ad_be_ach |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 8 x^{2} - 8 x^{3} - 3 x^{4} + 30 x^{5} - 59 x^{6} + 60 x^{7} - 12 x^{8} - 64 x^{9} + 128 x^{10} - 128 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-1$ |
$13$ |
simple |
| 6.2.ae_j_as_bg_acc_dg |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )( 1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ |
$2$ |
$4$ |
$-1$ |
$6$ |
3.2.ac_c_ac $\times$ 3.2.ac_d_ag |
| 6.2.ae_j_as_bi_ace_de |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 9 x^{2} - 18 x^{3} + 34 x^{4} - 56 x^{5} + 82 x^{6} - 112 x^{7} + 136 x^{8} - 144 x^{9} + 144 x^{10} - 128 x^{11} + 64 x^{12}$ |
$2$ |
$4$ |
$-1$ |
$8$ |
simple |
| 6.2.ae_j_ar_be_abz_da |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} - x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )( 1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ |
$5$ |
$1$ |
$-1$ |
$8$ |
3.2.ac_c_ab $\times$ 3.2.ac_d_ag |
| 6.2.ae_j_aq_ba_abo_cf |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 9 x^{2} - 16 x^{3} + 26 x^{4} - 40 x^{5} + 57 x^{6} - 80 x^{7} + 104 x^{8} - 128 x^{9} + 144 x^{10} - 128 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-1$ |
$9$ |
simple |
| 6.2.ae_j_ao_p_ak_f |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 9 x^{2} - 14 x^{3} + 15 x^{4} - 10 x^{5} + 5 x^{6} - 20 x^{7} + 60 x^{8} - 112 x^{9} + 144 x^{10} - 128 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-1$ |
$10$ |
simple |
| 6.2.ae_j_ao_u_abc_bp |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 9 x^{2} - 14 x^{3} + 20 x^{4} - 28 x^{5} + 41 x^{6} - 56 x^{7} + 80 x^{8} - 112 x^{9} + 144 x^{10} - 128 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-1$ |
$17$ |
simple |
| 6.2.ae_j_am_g_m_abf |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 9 x^{2} - 12 x^{3} + 6 x^{4} + 12 x^{5} - 31 x^{6} + 24 x^{7} + 24 x^{8} - 96 x^{9} + 144 x^{10} - 128 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-1$ |
$13$ |
simple |
| 6.2.ae_k_ax_br_acv_ek |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )( 1 - 2 x + 3 x^{2} - 5 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ |
$5$ |
$1$ |
$-1$ |
$6$ |
3.2.ac_d_ag $\times$ 3.2.ac_d_af |
| 6.2.ae_k_aw_bp_acs_ee |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - x - 2 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ |
$4$ |
$2$ |
$-1$ |
$8$ |
1.2.ab $\times$ 2.2.ab_a $\times$ 3.2.ac_d_ag |
| 6.2.ae_k_aw_bq_acs_eb |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 10 x^{2} - 22 x^{3} + 42 x^{4} - 70 x^{5} + 105 x^{6} - 140 x^{7} + 168 x^{8} - 176 x^{9} + 160 x^{10} - 128 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-1$ |
$10$ |
simple |
| 6.2.ae_k_av_bn_acp_dy |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )( 1 - 2 x + 3 x^{2} - 3 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ |
$5$ |
$1$ |
$-1$ |
$10$ |
3.2.ac_d_ag $\times$ 3.2.ac_d_ad |
| 6.2.ae_k_au_bh_abw_cr |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 10 x^{2} - 20 x^{3} + 33 x^{4} - 48 x^{5} + 69 x^{6} - 96 x^{7} + 132 x^{8} - 160 x^{9} + 160 x^{10} - 128 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-1$ |
$13$ |
simple |
| 6.2.ae_k_as_ba_abg_bq |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 10 x^{2} - 18 x^{3} + 26 x^{4} - 32 x^{5} + 42 x^{6} - 64 x^{7} + 104 x^{8} - 144 x^{9} + 160 x^{10} - 128 x^{11} + 64 x^{12}$ |
$0$ |
$6$ |
$-1$ |
$17$ |
simple |
| 6.2.ae_k_as_bb_abi_bu |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 2 x^{3} + 2 x^{4} - 4 x^{5} + 12 x^{6} - 16 x^{7} + 16 x^{8} )$ |
$4$ |
$2$ |
$-1$ |
$20$ |
2.2.ac_d $\times$ 4.2.ac_d_ac_c |
| 6.2.ae_l_aba_bx_ade_ev |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 11 x^{2} - 26 x^{3} + 49 x^{4} - 82 x^{5} + 125 x^{6} - 164 x^{7} + 196 x^{8} - 208 x^{9} + 176 x^{10} - 128 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-1$ |
$10$ |
simple |
| 6.2.ae_l_aba_by_adi_fc |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )( 1 - 2 x + 4 x^{2} - 6 x^{3} + 8 x^{4} - 8 x^{5} + 8 x^{6} )$ |
$2$ |
$4$ |
$-1$ |
$10$ |
3.2.ac_d_ag $\times$ 3.2.ac_e_ag |
| 6.2.ae_l_aba_by_adg_ew |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 2 x + 4 x^{2} - 8 x^{3} + 10 x^{4} - 16 x^{5} + 16 x^{6} - 16 x^{7} + 16 x^{8} )$ |
$2$ |
$4$ |
$-1$ |
$10$ |
2.2.ac_d $\times$ 4.2.ac_e_ai_k |
| 6.2.ae_l_az_bw_adf_ew |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ |
$5$ |
$1$ |
$-1$ |
$12$ |
1.2.ab $\times$ 2.2.ab_b $\times$ 3.2.ac_d_ag |
| 6.2.ae_l_ay_bq_aco_dt |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 11 x^{2} - 24 x^{3} + 42 x^{4} - 66 x^{5} + 97 x^{6} - 132 x^{7} + 168 x^{8} - 192 x^{9} + 176 x^{10} - 128 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-1$ |
$13$ |
simple |
| 6.2.ae_l_ay_bt_acu_ed |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 2 x + 4 x^{2} - 6 x^{3} + 9 x^{4} - 12 x^{5} + 16 x^{6} - 16 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-1$ |
$20$ |
2.2.ac_d $\times$ 4.2.ac_e_ag_j |
