Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
jacobians |
hyperelliptic jacobians |
Isogeny factors |
4.2.ai_bg_adc_fg |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )^{4}$ |
$0$ |
$4$ |
$-5$ |
$1$ |
$0$ |
$0$ |
1.2.ac 4 |
4.2.ah_z_acg_ds |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ |
$2$ |
$2$ |
$-4$ |
$1$ |
$0$ |
$0$ |
1.2.ac 2 $\times$ 2.2.ad_f |
4.2.ah_ba_ack_ea |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}$ |
$1$ |
$3$ |
$-4$ |
$2$ |
$0$ |
$0$ |
1.2.ac 3 $\times$ 1.2.ab |
4.2.ag_s_abk_ce |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ |
$0$ |
$4$ |
$-3$ |
$1$ |
$0$ |
$0$ |
1.2.ac 2 $\times$ 2.2.ac_c |
4.2.ag_t_abq_cr |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )^{2}$ |
$4$ |
$0$ |
$-3$ |
$1$ |
$0$ |
$0$ |
2.2.ad_f 2 |
4.2.ag_t_abp_co |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ |
$3$ |
$1$ |
$-3$ |
$1$ |
$0$ |
$0$ |
1.2.ac $\times$ 3.2.ae_j_ap |
4.2.ag_t_abo_cm |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ |
$2$ |
$2$ |
$-3$ |
$2$ |
$0$ |
$0$ |
1.2.ac 2 $\times$ 2.2.ac_d |
4.2.ag_u_abt_cw |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ |
$3$ |
$1$ |
$-3$ |
$2$ |
$0$ |
$0$ |
1.2.ac $\times$ 1.2.ab $\times$ 2.2.ad_f |
4.2.ag_u_abs_cu |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}$ |
$0$ |
$4$ |
$-3$ |
$3$ |
$0$ |
$0$ |
1.2.ac 3 $\times$ 1.2.a |
4.2.ag_v_abw_dc |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + 2 x^{2} )^{2}$ |
$2$ |
$2$ |
$-3$ |
$4$ |
$0$ |
$0$ |
1.2.ac 2 $\times$ 1.2.ab 2 |
4.2.af_k_aj_g |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ |
$3$ |
$1$ |
$-2$ |
$1$ |
$0$ |
$0$ |
1.2.ac $\times$ 3.2.ad_c_b |
4.2.af_l_ao_q |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )^{2}( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ |
$2$ |
$2$ |
$-2$ |
$1$ |
$0$ |
$0$ |
1.2.ac 2 $\times$ 2.2.ab_ab |
4.2.af_m_au_bd |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 5 x + 12 x^{2} - 20 x^{3} + 29 x^{4} - 40 x^{5} + 48 x^{6} - 40 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$-2$ |
$1$ |
$0$ |
$0$ |
simple |
4.2.af_m_as_y |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )^{2}( 1 - x - 2 x^{3} + 4 x^{4} )$ |
$1$ |
$3$ |
$-2$ |
$2$ |
$0$ |
$0$ |
1.2.ac 2 $\times$ 2.2.ab_a |
4.2.af_n_aba_bq |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ |
$2$ |
$2$ |
$-2$ |
$1$ |
$0$ |
$0$ |
2.2.ad_f $\times$ 2.2.ac_c |
4.2.af_n_az_bn |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 5 x + 13 x^{2} - 25 x^{3} + 39 x^{4} - 50 x^{5} + 52 x^{6} - 40 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$-2$ |
$1$ |
$0$ |
$0$ |
simple |
4.2.af_n_ax_bi |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6} )$ |
$3$ |
$1$ |
$-2$ |
$2$ |
$0$ |
$0$ |
1.2.ac $\times$ 3.2.ad_f_ah |
4.2.af_n_aw_bg |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ |
$2$ |
$2$ |
$-2$ |
$3$ |
$0$ |
$0$ |
1.2.ac 2 $\times$ 2.2.ab_b |
4.2.af_o_abd_bv |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ |
$4$ |
$0$ |
$-2$ |
$2$ |
$0$ |
$0$ |
2.2.ad_f $\times$ 2.2.ac_d |
4.2.af_o_abc_bs |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ |
$1$ |
$3$ |
$-2$ |
$2$ |
$0$ |
$0$ |
1.2.ac $\times$ 1.2.ab $\times$ 2.2.ac_c |
4.2.af_o_abb_bq |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 12 x^{5} + 8 x^{6} )$ |
$3$ |
$1$ |
$-2$ |
$3$ |
$0$ |
$0$ |
1.2.ac $\times$ 3.2.ad_g_aj |
4.2.af_o_aba_bo |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}$ |
$1$ |
$3$ |
$-2$ |
$4$ |
$0$ |
$0$ |
1.2.ac 3 $\times$ 1.2.b |
4.2.af_p_abg_bz |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ |
$4$ |
$0$ |
$-2$ |
$2$ |
$0$ |
$0$ |
1.2.ab $\times$ 3.2.ae_j_ap |
4.2.af_p_abg_ca |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ |
$2$ |
$2$ |
$-2$ |
$3$ |
$0$ |
$0$ |
1.2.ac $\times$ 1.2.a $\times$ 2.2.ad_f |
4.2.af_p_abf_by |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ |
$3$ |
$1$ |
$-2$ |
$4$ |
$0$ |
$0$ |
1.2.ac $\times$ 1.2.ab $\times$ 2.2.ac_d |
4.2.af_p_abe_bw |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )^{2}( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )$ |
$2$ |
$2$ |
$-2$ |
$5$ |
$0$ |
$0$ |
1.2.ac 2 $\times$ 2.2.ab_d |
4.2.af_q_abj_cf |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ |
$4$ |
$0$ |
$-2$ |
$4$ |
$0$ |
$0$ |
1.2.ab 2 $\times$ 2.2.ad_f |
4.2.af_q_abi_ce |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}$ |
$1$ |
$3$ |
$-2$ |
$6$ |
$0$ |
$0$ |
1.2.ac 2 $\times$ 1.2.ab $\times$ 1.2.a |
4.2.af_r_abl_ck |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )^{3}$ |
$3$ |
$1$ |
$-2$ |
$8$ |
$0$ |
$0$ |
1.2.ac $\times$ 1.2.ab 3 |
4.2.ae_e_h_av |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 4 x^{2} + 7 x^{3} - 21 x^{4} + 14 x^{5} + 16 x^{6} - 32 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$-1$ |
$1$ |
$0$ |
$0$ |
simple |
4.2.ae_e_i_ay |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x^{2} )^{2}$ |
$0$ |
$4$ |
$-1$ |
$1$ |
$0$ |
$0$ |
1.2.ac 2 $\times$ 2.2.a_ae |
4.2.ae_f_c_al |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 5 x^{2} + 2 x^{3} - 11 x^{4} + 4 x^{5} + 20 x^{6} - 32 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$-1$ |
$1$ |
$0$ |
$0$ |
simple |
4.2.ae_f_e_aq |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )^{2}( 1 - 3 x^{2} + 4 x^{4} )$ |
$2$ |
$2$ |
$-1$ |
$2$ |
$0$ |
$0$ |
1.2.ac 2 $\times$ 2.2.a_ad |
4.2.ae_g_ae_c |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 6 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 24 x^{6} - 32 x^{7} + 16 x^{8}$ |
$0$ |
$4$ |
$-1$ |
$1$ |
$0$ |
$0$ |
simple |
4.2.ae_g_ab_ag |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 3 x^{3} - 8 x^{5} + 8 x^{6} )$ |
$3$ |
$1$ |
$-1$ |
$2$ |
$0$ |
$0$ |
1.2.ac $\times$ 3.2.ac_a_d |
4.2.ae_g_a_ai |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )^{2}( 1 - 2 x^{2} + 4 x^{4} )$ |
$0$ |
$4$ |
$-1$ |
$3$ |
$0$ |
$0$ |
1.2.ac 2 $\times$ 2.2.a_ac |
4.2.ae_h_ak_p |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ |
$4$ |
$0$ |
$-1$ |
$1$ |
$0$ |
$0$ |
2.2.ad_f $\times$ 2.2.ab_ab |
4.2.ae_h_ah_h |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ |
$4$ |
$0$ |
$-1$ |
$2$ |
$0$ |
$0$ |
1.2.ab $\times$ 3.2.ad_c_b |
4.2.ae_h_ag_e |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 - 2 x + x^{2} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$ |
$2$ |
$2$ |
$-1$ |
$2$ |
$0$ |
$0$ |
1.2.ac $\times$ 3.2.ac_b_a |
4.2.ae_h_af_c |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 - 2 x + x^{2} + x^{3} + 2 x^{4} - 8 x^{5} + 8 x^{6} )$ |
$3$ |
$1$ |
$-1$ |
$3$ |
$0$ |
$0$ |
1.2.ac $\times$ 3.2.ac_b_b |
4.2.ae_h_ae_a |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )^{2}( 1 - x^{2} + 4 x^{4} )$ |
$2$ |
$2$ |
$-1$ |
$4$ |
$0$ |
$0$ |
1.2.ac 2 $\times$ 2.2.a_ab |
4.2.ae_i_aq_bc |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )^{2}$ |
$0$ |
$4$ |
$-1$ |
$1$ |
$0$ |
$0$ |
2.2.ac_c 2 |
4.2.ae_i_an_u |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x - 2 x^{3} + 4 x^{4} )$ |
$3$ |
$1$ |
$-1$ |
$2$ |
$0$ |
$0$ |
2.2.ad_f $\times$ 2.2.ab_a |
4.2.ae_i_am_r |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 8 x^{2} - 12 x^{3} + 17 x^{4} - 24 x^{5} + 32 x^{6} - 32 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$-1$ |
$2$ |
$0$ |
$0$ |
simple |
4.2.ae_i_al_o |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )$ |
$3$ |
$1$ |
$-1$ |
$2$ |
$0$ |
$0$ |
1.2.ac $\times$ 1.2.ab $\times$ 2.2.ab_ab |
4.2.ae_i_ak_m |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ |
$0$ |
$4$ |
$-1$ |
$3$ |
$0$ |
$0$ |
1.2.ac $\times$ 3.2.ac_c_ac |
4.2.ae_i_aj_k |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6} )$ |
$3$ |
$1$ |
$-1$ |
$4$ |
$0$ |
$0$ |
1.2.ac $\times$ 3.2.ac_c_ab |
4.2.ae_i_ai_i |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{3}$ |
$0$ |
$4$ |
$-1$ |
$5$ |
$0$ |
$0$ |
1.2.ac 3 $\times$ 1.2.c |
4.2.ae_j_as_be |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ |
$2$ |
$2$ |
$-1$ |
$2$ |
$0$ |
$0$ |
2.2.ac_c $\times$ 2.2.ac_d |
4.2.ae_j_ar_bb |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 9 x^{2} - 17 x^{3} + 27 x^{4} - 34 x^{5} + 36 x^{6} - 32 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$-1$ |
$2$ |
$0$ |
$0$ |
simple |