| Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
| 6.2.ag_t_abs_dj_afy_jd |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6} )^{2}$ |
$6$ |
$0$ |
$-3$ |
$4$ |
3.2.ad_f_ah 2 |
| 6.2.ag_w_ach_ew_air_nf |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 4 x + 9 x^{2} - 17 x^{3} + 27 x^{4} - 34 x^{5} + 36 x^{6} - 32 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-3$ |
$8$ |
1.2.ab 2 $\times$ 4.2.ae_j_ar_bb |
| 6.2.ag_x_acl_fh_ajn_on |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 4 x + 10 x^{2} - 19 x^{3} + 29 x^{4} - 38 x^{5} + 40 x^{6} - 32 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-3$ |
$12$ |
1.2.ab 2 $\times$ 4.2.ae_k_at_bd |
| 6.2.af_l_aq_ba_acb_dl |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 5 x + 11 x^{2} - 16 x^{3} + 26 x^{4} - 53 x^{5} + 89 x^{6} - 106 x^{7} + 104 x^{8} - 128 x^{9} + 176 x^{10} - 160 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-2$ |
$3$ |
simple |
| 6.2.af_l_ap_u_abm_cn |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 5 x + 11 x^{2} - 15 x^{3} + 20 x^{4} - 38 x^{5} + 65 x^{6} - 76 x^{7} + 80 x^{8} - 120 x^{9} + 176 x^{10} - 160 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-2$ |
$3$ |
simple |
| 6.2.af_l_am_ae_br_adh |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 5 x + 11 x^{2} - 12 x^{3} - 4 x^{4} + 43 x^{5} - 85 x^{6} + 86 x^{7} - 16 x^{8} - 96 x^{9} + 176 x^{10} - 160 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-2$ |
$3$ |
simple |
| 6.2.af_l_al_af_bk_acp |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 5 x + 11 x^{2} - 11 x^{3} - 5 x^{4} + 36 x^{5} - 67 x^{6} + 72 x^{7} - 20 x^{8} - 88 x^{9} + 176 x^{10} - 160 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-2$ |
$4$ |
simple |
| 6.2.af_l_al_af_bo_acz |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + 6 x^{3} - 15 x^{4} + 12 x^{5} + 8 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-2$ |
$6$ |
2.2.ac_d $\times$ 4.2.ad_c_g_ap |
| 6.2.af_m_aw_bl_acb_ct |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 5 x + 12 x^{2} - 22 x^{3} + 37 x^{4} - 53 x^{5} + 71 x^{6} - 106 x^{7} + 148 x^{8} - 176 x^{9} + 192 x^{10} - 160 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-2$ |
$3$ |
simple |
| 6.2.af_m_au_bg_acf_dn |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 5 x + 12 x^{2} - 20 x^{3} + 32 x^{4} - 57 x^{5} + 91 x^{6} - 114 x^{7} + 128 x^{8} - 160 x^{9} + 192 x^{10} - 160 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-2$ |
$4$ |
simple |
| 6.2.af_m_aq_i_n_abh |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 3 x + 3 x^{2} + 3 x^{3} - 11 x^{4} + 6 x^{5} + 12 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-2$ |
$6$ |
2.2.ac_d $\times$ 4.2.ad_d_d_al |
| 6.2.af_m_ao_ae_bw_adr |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 5 x + 12 x^{2} - 14 x^{3} - 4 x^{4} + 48 x^{5} - 95 x^{6} + 96 x^{7} - 16 x^{8} - 112 x^{9} + 192 x^{10} - 160 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-2$ |
$7$ |
simple |
| 6.2.af_n_ay_bn_ack_dp |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 5 x + 13 x^{2} - 24 x^{3} + 39 x^{4} - 62 x^{5} + 93 x^{6} - 124 x^{7} + 156 x^{8} - 192 x^{9} + 208 x^{10} - 160 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-2$ |
$7$ |
simple |
| 6.2.af_n_at_i_bc_aco |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 2 x^{2} + 4 x^{3} - 10 x^{4} + 8 x^{5} + 8 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$3$ |
$3$ |
$-2$ |
$8$ |
1.2.ab 2 $\times$ 4.2.ad_c_e_ak |
| 6.2.af_n_as_d_bp_adl |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 2 x^{2} + 5 x^{3} - 13 x^{4} + 10 x^{5} + 8 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-2$ |
$8$ |
1.2.ab 2 $\times$ 4.2.ad_c_f_an |
| 6.2.af_o_abg_cm_aed_gb |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 3 x + 5 x^{2} - 9 x^{3} + 15 x^{4} - 18 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-2$ |
$6$ |
2.2.ac_d $\times$ 4.2.ad_f_aj_p |
| 6.2.af_o_abd_bx_acu_dx |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 5 x + 14 x^{2} - 29 x^{3} + 49 x^{4} - 72 x^{5} + 101 x^{6} - 144 x^{7} + 196 x^{8} - 232 x^{9} + 224 x^{10} - 160 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-2$ |
$7$ |
simple |
| 6.2.af_o_abd_ca_adj_fb |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 5 x + 14 x^{2} - 29 x^{3} + 52 x^{4} - 87 x^{5} + 131 x^{6} - 174 x^{7} + 208 x^{8} - 232 x^{9} + 224 x^{10} - 160 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-2$ |
$7$ |
simple |
| 6.2.af_o_abb_bm_abs_cd |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 3 x^{2} - 2 x^{3} + 3 x^{4} - 4 x^{5} + 12 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-2$ |
$8$ |
1.2.ab 2 $\times$ 4.2.ad_d_ac_d |
| 6.2.af_o_aba_bh_abf_bg |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 3 x^{2} - x^{3} - 2 x^{5} + 12 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$5$ |
$1$ |
$-2$ |
$8$ |
1.2.ab 2 $\times$ 4.2.ad_d_ab_a |
| 6.2.af_o_az_bc_as_j |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 3 x^{2} - 3 x^{4} + 12 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-2$ |
$8$ |
1.2.ab 2 $\times$ 4.2.ad_d_a_ad |
| 6.2.af_o_ay_y_ah_aj |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 3 x^{2} + x^{3} - 5 x^{4} + 2 x^{5} + 12 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-2$ |
$12$ |
1.2.ab 2 $\times$ 4.2.ad_d_b_af |
| 6.2.af_o_ax_u_e_abb |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 3 x^{2} + 2 x^{3} - 7 x^{4} + 4 x^{5} + 12 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-2$ |
$16$ |
1.2.ab 2 $\times$ 4.2.ad_d_c_ah |
| 6.2.af_p_abl_cz_afe_ht |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 3 x + 6 x^{2} - 12 x^{3} + 19 x^{4} - 24 x^{5} + 24 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-2$ |
$6$ |
2.2.ac_d $\times$ 4.2.ad_g_am_t |
| 6.2.af_p_abj_cq_aek_gn |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 5 x + 15 x^{2} - 35 x^{3} + 68 x^{4} - 114 x^{5} + 169 x^{6} - 228 x^{7} + 272 x^{8} - 280 x^{9} + 240 x^{10} - 160 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-2$ |
$7$ |
simple |
| 6.2.af_p_abh_cg_adm_fa |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 4 x^{2} - 6 x^{3} + 10 x^{4} - 12 x^{5} + 16 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$3$ |
$3$ |
$-2$ |
$8$ |
1.2.ab 2 $\times$ 4.2.ad_e_ag_k |
| 6.2.af_p_abf_bx_aco_dl |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 4 x^{2} - 4 x^{3} + 5 x^{4} - 8 x^{5} + 16 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-2$ |
$12$ |
1.2.ab 2 $\times$ 4.2.ad_e_ae_f |
| 6.2.af_p_abd_bn_abo_br |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 4 x^{2} - 2 x^{3} - x^{4} - 4 x^{5} + 16 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-2$ |
$12$ |
1.2.ab 2 $\times$ 4.2.ad_e_ac_ab |
| 6.2.af_q_abm_cx_aex_hk |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x - 2 x^{3} + 4 x^{4} )$ |
$5$ |
$1$ |
$-2$ |
$16$ |
1.2.ab 2 $\times$ 2.2.ac_d $\times$ 2.2.ab_a |
| 6.2.af_q_abl_cs_aek_gn |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 8 x^{3} + 13 x^{4} - 16 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-2$ |
$16$ |
1.2.ab 2 $\times$ 4.2.ad_f_ai_n |
| 6.2.af_q_abk_cm_adv_fl |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 7 x^{3} + 9 x^{4} - 14 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-2$ |
$12$ |
1.2.ab 2 $\times$ 4.2.ad_f_ah_j |
| 6.2.af_q_abk_co_adz_fv |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 7 x^{3} + 11 x^{4} - 14 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-2$ |
$20$ |
1.2.ab 2 $\times$ 4.2.ad_f_ah_l |
| 6.2.af_q_abj_ci_adk_et |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 7 x^{4} - 12 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-2$ |
$16$ |
1.2.ab 2 $\times$ 4.2.ad_f_ag_h |
| 6.2.af_q_abi_ce_acz_eb |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 5 x^{3} + 5 x^{4} - 10 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-2$ |
$20$ |
1.2.ab 2 $\times$ 4.2.ad_f_af_f |
| 6.2.af_r_abq_dh_afr_in |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 6 x^{2} - 11 x^{3} + 17 x^{4} - 22 x^{5} + 24 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-2$ |
$16$ |
1.2.ab 2 $\times$ 4.2.ad_g_al_r |
| 6.2.af_r_abq_dj_afv_ix |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ |
$6$ |
$0$ |
$-2$ |
$24$ |
1.2.ab 2 $\times$ 2.2.ac_d $\times$ 2.2.ab_b |
| 6.2.af_r_abp_dc_afe_hq |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 6 x^{2} - 10 x^{3} + 14 x^{4} - 20 x^{5} + 24 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$3$ |
$3$ |
$-2$ |
$16$ |
1.2.ab 2 $\times$ 4.2.ad_g_ak_o |
| 6.2.af_r_abp_dd_afg_hv |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 6 x^{2} - 10 x^{3} + 15 x^{4} - 20 x^{5} + 24 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-2$ |
$20$ |
1.2.ab 2 $\times$ 4.2.ad_g_ak_p |
| 6.2.af_r_abo_cy_aet_gy |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 18 x^{5} + 24 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$5$ |
$1$ |
$-2$ |
$20$ |
1.2.ab 2 $\times$ 4.2.ad_g_aj_m |
| 6.2.af_r_abn_cv_aek_gl |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 6 x^{2} - 8 x^{3} + 11 x^{4} - 16 x^{5} + 24 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-2$ |
$28$ |
1.2.ab 2 $\times$ 4.2.ad_g_ai_l |
| 6.2.af_s_abu_ds_agn_jv |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 7 x^{2} - 13 x^{3} + 19 x^{4} - 26 x^{5} + 28 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-2$ |
$20$ |
1.2.ab 2 $\times$ 4.2.ad_h_an_t |
| 6.2.af_s_abu_du_agr_kf |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 7 x^{2} - 13 x^{3} + 21 x^{4} - 26 x^{5} + 28 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-2$ |
$28$ |
1.2.ab 2 $\times$ 4.2.ad_h_an_v |
| 6.2.af_s_abt_dq_agg_jn |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 7 x^{2} - 12 x^{3} + 19 x^{4} - 24 x^{5} + 28 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-2$ |
$32$ |
1.2.ab 2 $\times$ 4.2.ad_h_am_t |
| 6.2.af_s_abs_dm_afv_iv |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 7 x^{2} - 11 x^{3} + 17 x^{4} - 22 x^{5} + 28 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-2$ |
$36$ |
1.2.ab 2 $\times$ 4.2.ad_h_al_r |
| 6.2.af_t_aby_eh_ahr_lx |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )$ |
$6$ |
$0$ |
$-2$ |
$40$ |
1.2.ab 2 $\times$ 2.2.ac_d $\times$ 2.2.ab_d |
| 6.2.af_t_abx_ed_ahg_lf |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 8 x^{2} - 14 x^{3} + 23 x^{4} - 28 x^{5} + 32 x^{6} - 24 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-2$ |
$44$ |
1.2.ab 2 $\times$ 4.2.ad_i_ao_x |
| 6.2.ae_e_g_am_aq_cf |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 3 x^{3} - 8 x^{5} + 8 x^{6} )^{2}$ |
$6$ |
$0$ |
$-1$ |
$4$ |
3.2.ac_a_d 2 |
| 6.2.ae_f_a_ab_at_bv |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 5 x^{2} - x^{4} - 19 x^{5} + 47 x^{6} - 38 x^{7} - 4 x^{8} + 80 x^{10} - 128 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-1$ |
$3$ |
simple |
| 6.2.ae_f_b_aj_n_ar |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 5 x^{2} + x^{3} - 9 x^{4} + 13 x^{5} - 17 x^{6} + 26 x^{7} - 36 x^{8} + 8 x^{9} + 80 x^{10} - 128 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-1$ |
$4$ |
simple |
| 6.2.ae_f_c_al_g_f |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 5 x^{2} + 2 x^{3} - 11 x^{4} + 6 x^{5} + 5 x^{6} + 12 x^{7} - 44 x^{8} + 16 x^{9} + 80 x^{10} - 128 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-1$ |
$4$ |
simple |
