Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
4.2.ae_g_ae_c |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 6 x^{2} - 4 x^{3} + 2 x^{4} - 8 x^{5} + 24 x^{6} - 32 x^{7} + 16 x^{8}$ |
$0$ |
$4$ |
$-1$ |
$1$ |
simple |
4.2.ae_j_ar_bb |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 9 x^{2} - 17 x^{3} + 27 x^{4} - 34 x^{5} + 36 x^{6} - 32 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$-1$ |
$2$ |
simple |
4.2.ae_k_at_bd |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 10 x^{2} - 19 x^{3} + 29 x^{4} - 38 x^{5} + 40 x^{6} - 32 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$-1$ |
$3$ |
simple |
4.2.ad_c_e_ak |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 2 x^{2} + 4 x^{3} - 10 x^{4} + 8 x^{5} + 8 x^{6} - 24 x^{7} + 16 x^{8}$ |
$1$ |
$3$ |
$0$ |
$2$ |
simple |
4.2.ad_c_f_an |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 2 x^{2} + 5 x^{3} - 13 x^{4} + 10 x^{5} + 8 x^{6} - 24 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$0$ |
$2$ |
simple |
4.2.ad_c_g_ap |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 2 x^{2} + 6 x^{3} - 15 x^{4} + 12 x^{5} + 8 x^{6} - 24 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$0$ |
$3$ |
simple |
4.2.ad_d_ac_d |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 3 x^{2} - 2 x^{3} + 3 x^{4} - 4 x^{5} + 12 x^{6} - 24 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$0$ |
$2$ |
simple |
4.2.ad_d_ab_a |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 3 x^{2} - x^{3} - 2 x^{5} + 12 x^{6} - 24 x^{7} + 16 x^{8}$ |
$3$ |
$1$ |
$0$ |
$2$ |
simple |
4.2.ad_d_a_ad |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 3 x^{2} - 3 x^{4} + 12 x^{6} - 24 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$0$ |
$2$ |
simple |
4.2.ad_d_b_af |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 3 x^{2} + x^{3} - 5 x^{4} + 2 x^{5} + 12 x^{6} - 24 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$0$ |
$3$ |
simple |
4.2.ad_d_c_ah |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 3 x^{2} + 2 x^{3} - 7 x^{4} + 4 x^{5} + 12 x^{6} - 24 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$0$ |
$4$ |
simple |
4.2.ad_d_d_al |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 3 x^{2} + 3 x^{3} - 11 x^{4} + 6 x^{5} + 12 x^{6} - 24 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$0$ |
$3$ |
simple |
4.2.ad_e_ag_k |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 4 x^{2} - 6 x^{3} + 10 x^{4} - 12 x^{5} + 16 x^{6} - 24 x^{7} + 16 x^{8}$ |
$1$ |
$3$ |
$0$ |
$2$ |
simple |
4.2.ad_e_ae_f |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 4 x^{2} - 4 x^{3} + 5 x^{4} - 8 x^{5} + 16 x^{6} - 24 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$0$ |
$3$ |
simple |
4.2.ad_e_ac_ab |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 4 x^{2} - 2 x^{3} - x^{4} - 4 x^{5} + 16 x^{6} - 24 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$0$ |
$3$ |
simple |
4.2.ad_f_aj_p |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 5 x^{2} - 9 x^{3} + 15 x^{4} - 18 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$0$ |
$3$ |
simple |
4.2.ad_f_ai_n |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 5 x^{2} - 8 x^{3} + 13 x^{4} - 16 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$0$ |
$4$ |
simple |
4.2.ad_f_ah_j |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 5 x^{2} - 7 x^{3} + 9 x^{4} - 14 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$0$ |
$3$ |
simple |
4.2.ad_f_ah_l |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 5 x^{2} - 7 x^{3} + 11 x^{4} - 14 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$0$ |
$5$ |
simple |
4.2.ad_f_ag_h |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 5 x^{2} - 6 x^{3} + 7 x^{4} - 12 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$0$ |
$4$ |
simple |
4.2.ad_f_af_f |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 5 x^{2} - 5 x^{3} + 5 x^{4} - 10 x^{5} + 20 x^{6} - 24 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$0$ |
$5$ |
simple |
4.2.ad_g_am_t |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 6 x^{2} - 12 x^{3} + 19 x^{4} - 24 x^{5} + 24 x^{6} - 24 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$0$ |
$3$ |
simple |
4.2.ad_g_al_r |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 6 x^{2} - 11 x^{3} + 17 x^{4} - 22 x^{5} + 24 x^{6} - 24 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$0$ |
$4$ |
simple |
4.2.ad_g_ak_o |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 6 x^{2} - 10 x^{3} + 14 x^{4} - 20 x^{5} + 24 x^{6} - 24 x^{7} + 16 x^{8}$ |
$1$ |
$3$ |
$0$ |
$4$ |
simple |
4.2.ad_g_ak_p |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 6 x^{2} - 10 x^{3} + 15 x^{4} - 20 x^{5} + 24 x^{6} - 24 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$0$ |
$5$ |
simple |
4.2.ad_g_aj_m |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 18 x^{5} + 24 x^{6} - 24 x^{7} + 16 x^{8}$ |
$3$ |
$1$ |
$0$ |
$5$ |
simple |
4.2.ad_g_ai_l |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 6 x^{2} - 8 x^{3} + 11 x^{4} - 16 x^{5} + 24 x^{6} - 24 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$0$ |
$7$ |
simple |
4.2.ad_h_an_t |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 7 x^{2} - 13 x^{3} + 19 x^{4} - 26 x^{5} + 28 x^{6} - 24 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$0$ |
$5$ |
simple |
4.2.ad_h_an_v |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 7 x^{2} - 13 x^{3} + 21 x^{4} - 26 x^{5} + 28 x^{6} - 24 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$0$ |
$7$ |
simple |
4.2.ad_h_am_t |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 7 x^{2} - 12 x^{3} + 19 x^{4} - 24 x^{5} + 28 x^{6} - 24 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$0$ |
$8$ |
simple |
4.2.ad_h_al_r |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 7 x^{2} - 11 x^{3} + 17 x^{4} - 22 x^{5} + 28 x^{6} - 24 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$0$ |
$9$ |
simple |
4.2.ad_i_ao_x |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 8 x^{2} - 14 x^{3} + 23 x^{4} - 28 x^{5} + 32 x^{6} - 24 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$0$ |
$11$ |
simple |
4.2.ac_ab_d_ab |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 2 x - x^{2} + 3 x^{3} - x^{4} + 6 x^{5} - 4 x^{6} - 16 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$1$ |
$2$ |
simple |
4.2.ac_a_ac_j |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 2 x - 2 x^{3} + 9 x^{4} - 4 x^{5} - 16 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$1$ |
$2$ |
simple |
4.2.ac_a_b_b |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + x^{3} + x^{4} + 2 x^{5} - 16 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$1$ |
$3$ |
simple |
4.2.ac_a_c_ac |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + 2 x^{3} - 2 x^{4} + 4 x^{5} - 16 x^{7} + 16 x^{8}$ |
$0$ |
$4$ |
$1$ |
$3$ |
simple |
4.2.ac_a_d_af |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + 3 x^{3} - 5 x^{4} + 6 x^{5} - 16 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$1$ |
$3$ |
simple |
4.2.ac_a_d_ae |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + 3 x^{3} - 4 x^{4} + 6 x^{5} - 16 x^{7} + 16 x^{8}$ |
$3$ |
$1$ |
$1$ |
$4$ |
simple |
4.2.ac_a_e_ah |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + 4 x^{3} - 7 x^{4} + 8 x^{5} - 16 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$1$ |
$4$ |
simple |
4.2.ac_a_e_ag |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + 4 x^{3} - 6 x^{4} + 8 x^{5} - 16 x^{7} + 16 x^{8}$ |
$0$ |
$4$ |
$1$ |
$5$ |
simple |
4.2.ac_b_ad_i |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + x^{2} - 3 x^{3} + 8 x^{4} - 6 x^{5} + 4 x^{6} - 16 x^{7} + 16 x^{8}$ |
$3$ |
$1$ |
$1$ |
$3$ |
simple |
4.2.ac_b_ac_f |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + x^{2} - 2 x^{3} + 5 x^{4} - 4 x^{5} + 4 x^{6} - 16 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$1$ |
$3$ |
simple |
4.2.ac_b_ab_d |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + x^{2} - x^{3} + 3 x^{4} - 2 x^{5} + 4 x^{6} - 16 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$1$ |
$4$ |
simple |
4.2.ac_b_ab_e |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + x^{2} - x^{3} + 4 x^{4} - 2 x^{5} + 4 x^{6} - 16 x^{7} + 16 x^{8}$ |
$3$ |
$1$ |
$1$ |
$5$ |
simple |
4.2.ac_b_a_b |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + x^{2} + x^{4} + 4 x^{6} - 16 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$1$ |
$5$ |
simple |
4.2.ac_b_b_ad |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + x^{2} + x^{3} - 3 x^{4} + 2 x^{5} + 4 x^{6} - 16 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$1$ |
$4$ |
simple |
4.2.ac_b_b_ab |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + x^{2} + x^{3} - x^{4} + 2 x^{5} + 4 x^{6} - 16 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$1$ |
$6$ |
simple |
4.2.ac_b_c_ag |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + x^{2} + 2 x^{3} - 6 x^{4} + 4 x^{5} + 4 x^{6} - 16 x^{7} + 16 x^{8}$ |
$2$ |
$2$ |
$1$ |
$4$ |
simple |
4.2.ac_b_c_af |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + x^{2} + 2 x^{3} - 5 x^{4} + 4 x^{5} + 4 x^{6} - 16 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$1$ |
$5$ |
simple |
4.2.ac_b_d_aj |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + x^{2} + 3 x^{3} - 9 x^{4} + 6 x^{5} + 4 x^{6} - 16 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$1$ |
$4$ |
simple |