Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
4.2.ad_h_an_s |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ |
$3$ |
$1$ |
$0$ |
$4$ |
1.2.ab $\times$ 3.2.ac_d_ag |
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_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_e_al |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + x^{2} + 4 x^{3} - 11 x^{4} + 8 x^{5} + 4 x^{6} - 16 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$1$ |
$5$ |
simple |
4.2.ac_d_ac_c |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + 3 x^{2} - 2 x^{3} + 2 x^{4} - 4 x^{5} + 12 x^{6} - 16 x^{7} + 16 x^{8}$ |
$2$ |
$2$ |
$1$ |
$10$ |
simple |
4.2.ac_e_ai_k |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + 4 x^{2} - 8 x^{3} + 10 x^{4} - 16 x^{5} + 16 x^{6} - 16 x^{7} + 16 x^{8}$ |
$0$ |
$4$ |
$1$ |
$5$ |
simple |
4.2.ac_e_ag_j |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + 4 x^{2} - 6 x^{3} + 9 x^{4} - 12 x^{5} + 16 x^{6} - 16 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$1$ |
$10$ |
simple |
4.2.ab_b_ab_ac |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - x^{2} - 2 x^{3} - 2 x^{4} + 8 x^{6} )$ |
$3$ |
$1$ |
$2$ |
$8$ |
1.2.ab $\times$ 3.2.a_ab_ac |
4.2.ab_b_d_ag |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - x^{2} + 2 x^{3} - 2 x^{4} + 8 x^{6} )$ |
$3$ |
$1$ |
$2$ |
$16$ |
1.2.ab $\times$ 3.2.a_ab_c |
4.2.ab_d_ah_g |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6} )$ |
$3$ |
$1$ |
$2$ |
$8$ |
1.2.b $\times$ 3.2.ac_d_ag |
4.2.a_ad_a_g |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 3 x^{2} + 6 x^{4} - 12 x^{6} + 16 x^{8}$ |
$2$ |
$2$ |
$3$ |
$8$ |
simple |
4.2.a_ac_a_d |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 2 x^{2} + 3 x^{4} - 8 x^{6} + 16 x^{8}$ |
$4$ |
$0$ |
$3$ |
$10$ |
simple |
4.2.a_ac_a_g |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 2 x^{2} + 6 x^{4} - 8 x^{6} + 16 x^{8}$ |
$0$ |
$4$ |
$3$ |
$13$ |
simple |
4.2.a_ac_a_h |
$4$ |
$\F_{2}$ |
$2$ |
$1 - 2 x^{2} + 7 x^{4} - 8 x^{6} + 16 x^{8}$ |
$4$ |
$0$ |
$3$ |
$14$ |
simple |
4.2.a_ab_ac_c |
$4$ |
$\F_{2}$ |
$2$ |
$1 - x^{2} - 2 x^{3} + 2 x^{4} - 4 x^{5} - 4 x^{6} + 16 x^{8}$ |
$2$ |
$2$ |
$3$ |
$8$ |
simple |
4.2.a_ab_a_ac |
$4$ |
$\F_{2}$ |
$2$ |
$1 - x^{2} - 2 x^{4} - 4 x^{6} + 16 x^{8}$ |
$2$ |
$2$ |
$3$ |
$10$ |
simple |
4.2.a_ab_a_ab |
$4$ |
$\F_{2}$ |
$2$ |
$1 - x^{2} - x^{4} - 4 x^{6} + 16 x^{8}$ |
$4$ |
$0$ |
$3$ |
$11$ |
simple |
4.2.a_ab_a_b |
$4$ |
$\F_{2}$ |
$2$ |
$1 - x^{2} + x^{4} - 4 x^{6} + 16 x^{8}$ |
$4$ |
$0$ |
$3$ |
$13$ |
simple |
4.2.a_ab_a_d |
$4$ |
$\F_{2}$ |
$2$ |
$1 - x^{2} + 3 x^{4} - 4 x^{6} + 16 x^{8}$ |
$4$ |
$0$ |
$3$ |
$15$ |
simple |
4.2.a_ab_a_h |
$4$ |
$\F_{2}$ |
$2$ |
$1 - x^{2} + 7 x^{4} - 4 x^{6} + 16 x^{8}$ |
$4$ |
$0$ |
$3$ |
$19$ |
simple |
4.2.a_ab_c_c |
$4$ |
$\F_{2}$ |
$2$ |
$1 - x^{2} + 2 x^{3} + 2 x^{4} + 4 x^{5} - 4 x^{6} + 16 x^{8}$ |
$2$ |
$2$ |
$3$ |
$20$ |
simple |
4.2.a_b_ac_ad |
$4$ |
$\F_{2}$ |
$2$ |
$1 + x^{2} - 2 x^{3} - 3 x^{4} - 4 x^{5} + 4 x^{6} + 16 x^{8}$ |
$4$ |
$0$ |
$3$ |
$13$ |
simple |
4.2.a_b_a_ac |
$4$ |
$\F_{2}$ |
$2$ |
$1 + x^{2} - 2 x^{4} + 4 x^{6} + 16 x^{8}$ |
$2$ |
$2$ |
$3$ |
$20$ |
simple |
4.2.a_b_a_ab |
$4$ |
$\F_{2}$ |
$2$ |
$1 + x^{2} - x^{4} + 4 x^{6} + 16 x^{8}$ |
$4$ |
$0$ |
$3$ |
$21$ |
simple |
4.2.a_b_a_b |
$4$ |
$\F_{2}$ |
$2$ |
$1 + x^{2} + x^{4} + 4 x^{6} + 16 x^{8}$ |
$4$ |
$0$ |
$3$ |
$23$ |
simple |
4.2.a_b_a_d |
$4$ |
$\F_{2}$ |
$2$ |
$1 + x^{2} + 3 x^{4} + 4 x^{6} + 16 x^{8}$ |
$4$ |
$0$ |
$3$ |
$25$ |
simple |
4.2.a_b_a_h |
$4$ |
$\F_{2}$ |
$2$ |
$1 + x^{2} + 7 x^{4} + 4 x^{6} + 16 x^{8}$ |
$4$ |
$0$ |
$3$ |
$29$ |
simple |
4.2.a_b_c_ad |
$4$ |
$\F_{2}$ |
$2$ |
$1 + x^{2} + 2 x^{3} - 3 x^{4} + 4 x^{5} + 4 x^{6} + 16 x^{8}$ |
$4$ |
$0$ |
$3$ |
$25$ |
simple |
4.2.a_c_a_d |
$4$ |
$\F_{2}$ |
$2$ |
$1 + 2 x^{2} + 3 x^{4} + 8 x^{6} + 16 x^{8}$ |
$4$ |
$0$ |
$3$ |
$30$ |
simple |
4.2.a_c_a_g |
$4$ |
$\F_{2}$ |
$2$ |
$1 + 2 x^{2} + 6 x^{4} + 8 x^{6} + 16 x^{8}$ |
$0$ |
$4$ |
$3$ |
$33$ |
simple |
4.2.a_c_a_h |
$4$ |
$\F_{2}$ |
$2$ |
$1 + 2 x^{2} + 7 x^{4} + 8 x^{6} + 16 x^{8}$ |
$4$ |
$0$ |
$3$ |
$34$ |
simple |
4.2.a_d_a_g |
$4$ |
$\F_{2}$ |
$2$ |
$1 + 3 x^{2} + 6 x^{4} + 12 x^{6} + 16 x^{8}$ |
$2$ |
$2$ |
$3$ |
$38$ |
simple |
4.2.b_b_ad_ag |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 - x^{2} - 2 x^{3} - 2 x^{4} + 8 x^{6} )$ |
$3$ |
$1$ |
$4$ |
$16$ |
1.2.b $\times$ 3.2.a_ab_ac |
4.2.b_b_b_ac |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 - x^{2} + 2 x^{3} - 2 x^{4} + 8 x^{6} )$ |
$3$ |
$1$ |
$4$ |
$32$ |
1.2.b $\times$ 3.2.a_ab_c |
4.2.b_d_h_g |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 + 2 x + 3 x^{2} + 6 x^{3} + 6 x^{4} + 8 x^{5} + 8 x^{6} )$ |
$3$ |
$1$ |
$4$ |
$68$ |
1.2.ab $\times$ 3.2.c_d_g |
4.2.c_a_ae_ag |
$4$ |
$\F_{2}$ |
$2$ |
$1 + 2 x - 4 x^{3} - 6 x^{4} - 8 x^{5} + 16 x^{7} + 16 x^{8}$ |
$0$ |
$4$ |
$5$ |
$17$ |
simple |
4.2.c_a_c_j |
$4$ |
$\F_{2}$ |
$2$ |
$1 + 2 x + 2 x^{3} + 9 x^{4} + 4 x^{5} + 16 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$5$ |
$50$ |
simple |
4.2.c_b_ae_al |
$4$ |
$\F_{2}$ |
$2$ |
$1 + 2 x + x^{2} - 4 x^{3} - 11 x^{4} - 8 x^{5} + 4 x^{6} + 16 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$5$ |
$17$ |
simple |
4.2.c_d_c_c |
$4$ |
$\F_{2}$ |
$2$ |
$1 + 2 x + 3 x^{2} + 2 x^{3} + 2 x^{4} + 4 x^{5} + 12 x^{6} + 16 x^{7} + 16 x^{8}$ |
$2$ |
$2$ |
$5$ |
$58$ |
simple |
4.2.c_e_g_j |
$4$ |
$\F_{2}$ |
$2$ |
$1 + 2 x + 4 x^{2} + 6 x^{3} + 9 x^{4} + 12 x^{5} + 16 x^{6} + 16 x^{7} + 16 x^{8}$ |
$4$ |
$0$ |
$5$ |
$82$ |
simple |
4.2.c_e_i_k |
$4$ |
$\F_{2}$ |
$2$ |
$1 + 2 x + 4 x^{2} + 8 x^{3} + 10 x^{4} + 16 x^{5} + 16 x^{6} + 16 x^{7} + 16 x^{8}$ |
$0$ |
$4$ |
$5$ |
$89$ |
simple |
4.2.d_h_n_s |
$4$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 + 2 x + 3 x^{2} + 6 x^{3} + 6 x^{4} + 8 x^{5} + 8 x^{6} )$ |
$3$ |
$1$ |
$6$ |
$136$ |
1.2.b $\times$ 3.2.c_d_g |
4.3.ag_s_abm_cq |
$4$ |
$\F_{3}$ |
$3$ |
$1 - 6 x + 18 x^{2} - 38 x^{3} + 68 x^{4} - 114 x^{5} + 162 x^{6} - 162 x^{7} + 81 x^{8}$ |
$4$ |
$0$ |
$-2$ |
$10$ |
simple |
4.3.ae_e_m_abp |
$4$ |
$\F_{3}$ |
$3$ |
$1 - 4 x + 4 x^{2} + 12 x^{3} - 41 x^{4} + 36 x^{5} + 36 x^{6} - 108 x^{7} + 81 x^{8}$ |
$4$ |
$0$ |
$0$ |
$17$ |
simple |
4.3.ae_f_g_abb |
$4$ |
$\F_{3}$ |
$3$ |
$1 - 4 x + 5 x^{2} + 6 x^{3} - 27 x^{4} + 18 x^{5} + 45 x^{6} - 108 x^{7} + 81 x^{8}$ |
$2$ |
$2$ |
$0$ |
$17$ |
simple |
4.3.ae_h_aq_bl |
$4$ |
$\F_{3}$ |
$3$ |
$1 - 4 x + 7 x^{2} - 16 x^{3} + 37 x^{4} - 48 x^{5} + 63 x^{6} - 108 x^{7} + 81 x^{8}$ |
$4$ |
$0$ |
$0$ |
$13$ |
simple |
4.3.ae_i_ai_i |
$4$ |
$\F_{3}$ |
$3$ |
$1 - 4 x + 8 x^{2} - 8 x^{3} + 8 x^{4} - 24 x^{5} + 72 x^{6} - 108 x^{7} + 81 x^{8}$ |
$4$ |
$0$ |
$0$ |
$26$ |
simple |
4.3.ae_j_au_bo |
$4$ |
$\F_{3}$ |
$3$ |
$1 - 4 x + 9 x^{2} - 20 x^{3} + 40 x^{4} - 60 x^{5} + 81 x^{6} - 108 x^{7} + 81 x^{8}$ |
$4$ |
$0$ |
$0$ |
$20$ |
simple |
4.3.ae_j_as_bg |
$4$ |
$\F_{3}$ |
$3$ |
$1 - 4 x + 9 x^{2} - 18 x^{3} + 32 x^{4} - 54 x^{5} + 81 x^{6} - 108 x^{7} + 81 x^{8}$ |
$4$ |
$0$ |
$0$ |
$20$ |
simple |
4.3.ae_l_ay_bt |
$4$ |
$\F_{3}$ |
$3$ |
$1 - 4 x + 11 x^{2} - 24 x^{3} + 45 x^{4} - 72 x^{5} + 99 x^{6} - 108 x^{7} + 81 x^{8}$ |
$2$ |
$2$ |
$0$ |
$29$ |
simple |