Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
3.9.ag_bb_add |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$( 1 - 3 x + 9 x^{2} )( 1 - 3 x + 9 x^{2} - 27 x^{3} + 81 x^{4} )$ |
$0$ |
$3$ |
$4$ |
$427$ |
1.9.ad $\times$ 2.9.ad_j |
3.9.ad_j_abb |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 3 x + 9 x^{2} - 27 x^{3} + 81 x^{4} - 243 x^{5} + 729 x^{6}$ |
$0$ |
$3$ |
$7$ |
$547$ |
simple |
3.9.a_j_abb |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$( 1 + 3 x + 9 x^{2} )( 1 - 3 x + 9 x^{2} - 27 x^{3} + 81 x^{4} )$ |
$0$ |
$3$ |
$10$ |
$793$ |
1.9.d $\times$ 2.9.ad_j |
3.9.a_j_bb |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$( 1 - 3 x + 9 x^{2} )( 1 + 3 x + 9 x^{2} + 27 x^{3} + 81 x^{4} )$ |
$0$ |
$3$ |
$10$ |
$847$ |
1.9.ad $\times$ 2.9.d_j |
3.9.d_j_bb |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 + 3 x + 9 x^{2} + 27 x^{3} + 81 x^{4} + 243 x^{5} + 729 x^{6}$ |
$0$ |
$3$ |
$13$ |
$1093$ |
simple |
3.9.g_bb_dd |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$( 1 + 3 x + 9 x^{2} )( 1 + 3 x + 9 x^{2} + 27 x^{3} + 81 x^{4} )$ |
$0$ |
$3$ |
$16$ |
$1573$ |
1.9.d $\times$ 2.9.d_j |
3.25.ak_cx_aol |
$3$ |
$\F_{5^{2}}$ |
$5$ |
$( 1 - 5 x + 25 x^{2} )( 1 - 5 x + 25 x^{2} - 125 x^{3} + 625 x^{4} )$ |
$0$ |
$3$ |
$16$ |
$10941$ |
1.25.af $\times$ 2.25.af_z |
3.25.af_z_aev |
$3$ |
$\F_{5^{2}}$ |
$5$ |
$1 - 5 x + 25 x^{2} - 125 x^{3} + 625 x^{4} - 3125 x^{5} + 15625 x^{6}$ |
$0$ |
$3$ |
$21$ |
$13021$ |
simple |
3.25.a_z_aev |
$3$ |
$\F_{5^{2}}$ |
$5$ |
$( 1 + 5 x + 25 x^{2} )( 1 - 5 x + 25 x^{2} - 125 x^{3} + 625 x^{4} )$ |
$0$ |
$3$ |
$26$ |
$16151$ |
1.25.f $\times$ 2.25.af_z |
3.25.a_z_ev |
$3$ |
$\F_{5^{2}}$ |
$5$ |
$( 1 - 5 x + 25 x^{2} )( 1 + 5 x + 25 x^{2} + 125 x^{3} + 625 x^{4} )$ |
$0$ |
$3$ |
$26$ |
$16401$ |
1.25.af $\times$ 2.25.f_z |
3.25.f_z_ev |
$3$ |
$\F_{5^{2}}$ |
$5$ |
$1 + 5 x + 25 x^{2} + 125 x^{3} + 625 x^{4} + 3125 x^{5} + 15625 x^{6}$ |
$0$ |
$3$ |
$31$ |
$19531$ |
simple |
3.25.k_cx_ol |
$3$ |
$\F_{5^{2}}$ |
$5$ |
$( 1 + 5 x + 25 x^{2} )( 1 + 5 x + 25 x^{2} + 125 x^{3} + 625 x^{4} )$ |
$0$ |
$3$ |
$36$ |
$24211$ |
1.25.f $\times$ 2.25.f_z |
5.2.af_m_aw_bk_acb |
$5$ |
$\F_{2}$ |
$2$ |
$( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ |
$5$ |
$0$ |
$-2$ |
$1$ |
2.2.ab_ab $\times$ 3.2.ae_j_ap |
5.2.ae_e_a_l_abh |
$5$ |
$\F_{2}$ |
$2$ |
$( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ |
$5$ |
$0$ |
$-1$ |
$1$ |
2.2.ab_ab $\times$ 3.2.ad_c_b |
5.2.ad_e_a_ak_t |
$5$ |
$\F_{2}$ |
$2$ |
$( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ |
$5$ |
$0$ |
$0$ |
$7$ |
2.2.b_ab $\times$ 3.2.ae_j_ap |
5.2.ac_ac_i_b_ar |
$5$ |
$\F_{2}$ |
$2$ |
$( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ |
$5$ |
$0$ |
$1$ |
$7$ |
2.2.b_ab $\times$ 3.2.ad_c_b |
5.2.ac_c_c_ag_n |
$5$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - x - x^{2} + 3 x^{3} - x^{4} + 6 x^{5} - 4 x^{6} - 8 x^{7} + 16 x^{8} )$ |
$5$ |
$0$ |
$1$ |
$22$ |
1.2.ab $\times$ 4.2.ab_ab_d_ab |
5.2.a_a_a_a_al |
$5$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 + x - x^{2} - 3 x^{3} - x^{4} - 6 x^{5} - 4 x^{6} + 8 x^{7} + 16 x^{8} )$ |
$5$ |
$0$ |
$3$ |
$22$ |
1.2.ab $\times$ 4.2.b_ab_ad_ab |
5.2.a_a_a_a_l |
$5$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 - x - x^{2} + 3 x^{3} - x^{4} + 6 x^{5} - 4 x^{6} - 8 x^{7} + 16 x^{8} )$ |
$5$ |
$0$ |
$3$ |
$44$ |
1.2.b $\times$ 4.2.ab_ab_d_ab |
5.2.c_ac_ai_b_r |
$5$ |
$\F_{2}$ |
$2$ |
$( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 + 3 x + 2 x^{2} - x^{3} + 4 x^{4} + 12 x^{5} + 8 x^{6} )$ |
$5$ |
$0$ |
$5$ |
$29$ |
2.2.ab_ab $\times$ 3.2.d_c_ab |
5.2.c_c_ac_ag_an |
$5$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 + x - x^{2} - 3 x^{3} - x^{4} - 6 x^{5} - 4 x^{6} + 8 x^{7} + 16 x^{8} )$ |
$5$ |
$0$ |
$5$ |
$44$ |
1.2.b $\times$ 4.2.b_ab_ad_ab |
5.2.d_e_a_ak_at |
$5$ |
$\F_{2}$ |
$2$ |
$( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 + 4 x + 9 x^{2} + 15 x^{3} + 18 x^{4} + 16 x^{5} + 8 x^{6} )$ |
$5$ |
$0$ |
$6$ |
$71$ |
2.2.ab_ab $\times$ 3.2.e_j_p |
5.2.e_e_a_l_bh |
$5$ |
$\F_{2}$ |
$2$ |
$( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )( 1 + 3 x + 2 x^{2} - x^{3} + 4 x^{4} + 12 x^{5} + 8 x^{6} )$ |
$5$ |
$0$ |
$7$ |
$203$ |
2.2.b_ab $\times$ 3.2.d_c_ab |
5.2.f_m_w_bk_cb |
$5$ |
$\F_{2}$ |
$2$ |
$( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )( 1 + 4 x + 9 x^{2} + 15 x^{3} + 18 x^{4} + 16 x^{5} + 8 x^{6} )$ |
$5$ |
$0$ |
$8$ |
$497$ |
2.2.b_ab $\times$ 3.2.e_j_p |
6.2.ai_bi_ady_jd_are_bar |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )^{2}$ |
$6$ |
$0$ |
$-5$ |
$1$ |
3.2.ae_j_ap 2 |
6.2.ah_x_abx_dd_aep_gn |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$-4$ |
$1$ |
3.2.ae_j_ap $\times$ 3.2.ad_c_b |
6.2.ah_be_adn_ig_apq_yh |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{3}( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$-4$ |
$8$ |
1.2.ab 3 $\times$ 3.2.ae_j_ap |
6.2.ag_n_ak_g_abs_eb |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )^{2}$ |
$6$ |
$0$ |
$-3$ |
$1$ |
3.2.ad_c_b 2 |
6.2.ag_u_abt_cy_aed_fr |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{3}( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$-3$ |
$8$ |
1.2.ab 3 $\times$ 3.2.ad_c_b |
6.2.af_o_abb_bo_aca_cr |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - x^{2} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$-2$ |
$8$ |
1.2.ab $\times$ 2.2.a_ab $\times$ 3.2.ae_j_ap |
6.2.af_s_abv_dw_agy_kn |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 - x + 2 x^{2} )^{2}( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$-2$ |
$16$ |
1.2.ab 2 $\times$ 1.2.b $\times$ 3.2.ae_j_ap |
6.2.ae_g_ad_e_ax_bx |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - x^{2} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$-1$ |
$8$ |
1.2.ab $\times$ 2.2.a_ab $\times$ 3.2.ad_c_b |
6.2.ae_k_at_bg_abz_cz |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 - x + 2 x^{2} )^{2}( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$-1$ |
$16$ |
1.2.ab 2 $\times$ 1.2.b $\times$ 3.2.ad_c_b |
6.2.ad_g_al_s_aba_bj |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 - x^{2} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$0$ |
$16$ |
1.2.b $\times$ 2.2.a_ab $\times$ 3.2.ae_j_ap |
6.2.ad_g_ae_ae_x_abl |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 - x - x^{2} + 3 x^{3} - x^{4} + 6 x^{5} - 4 x^{6} - 8 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$0$ |
$44$ |
1.2.ab 2 $\times$ 4.2.ab_ab_d_ab |
6.2.ad_k_ax_bu_ade_ep |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 + x + 2 x^{2} )^{2}( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$0$ |
$32$ |
1.2.ab $\times$ 1.2.b 2 $\times$ 3.2.ae_j_ap |
6.2.ac_a_ab_m_al_ab |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 - x^{2} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$1$ |
$16$ |
1.2.b $\times$ 2.2.a_ab $\times$ 3.2.ad_c_b |
6.2.ac_e_aj_q_ax_bj |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 + x + 2 x^{2} )^{2}( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$1$ |
$32$ |
1.2.ab $\times$ 1.2.b 2 $\times$ 3.2.ad_c_b |
6.2.ab_ac_e_e_ab_ah |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x^{2} + 4 x^{4} )( 1 - x - x^{2} + 3 x^{3} - x^{4} + 6 x^{5} - 4 x^{6} - 8 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$2$ |
$44$ |
2.2.a_ab $\times$ 4.2.ab_ab_d_ab |
6.2.ab_ab_d_ab_af_h |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 + 3 x + 2 x^{2} - x^{3} + 4 x^{4} + 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$2$ |
$29$ |
3.2.ae_j_ap $\times$ 3.2.d_c_ab |
6.2.ab_c_a_a_al_l |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{2}( 1 + x - x^{2} - 3 x^{3} - x^{4} - 6 x^{5} - 4 x^{6} + 8 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$2$ |
$44$ |
1.2.ab 2 $\times$ 4.2.b_ab_ad_ab |
6.2.ab_c_a_a_l_al |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 - x - x^{2} + 3 x^{3} - x^{4} + 6 x^{5} - 4 x^{6} - 8 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$2$ |
$88$ |
1.2.ab $\times$ 1.2.b $\times$ 4.2.ab_ab_d_ab |
6.2.ab_g_al_u_abo_bx |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )^{3}( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$2$ |
$64$ |
1.2.b 3 $\times$ 3.2.ae_j_ap |
6.2.a_af_a_s_a_abp |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )( 1 + 3 x + 2 x^{2} - x^{3} + 4 x^{4} + 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$3$ |
$29$ |
3.2.ad_c_b $\times$ 3.2.d_c_ab |
6.2.a_c_ah_e_ah_bd |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )^{3}( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$3$ |
$64$ |
1.2.b 3 $\times$ 3.2.ad_c_b |
6.2.a_c_a_ad_a_an |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )( 1 + 4 x + 9 x^{2} + 15 x^{3} + 18 x^{4} + 16 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$3$ |
$71$ |
3.2.ae_j_ap $\times$ 3.2.e_j_p |
6.2.a_c_h_e_h_bd |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )^{3}( 1 + 3 x + 2 x^{2} - x^{3} + 4 x^{4} + 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$3$ |
$232$ |
1.2.ab 3 $\times$ 3.2.d_c_ab |
6.2.b_ac_ae_e_b_ah |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x^{2} + 4 x^{4} )( 1 + x - x^{2} - 3 x^{3} - x^{4} - 6 x^{5} - 4 x^{6} + 8 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$4$ |
$44$ |
2.2.a_ab $\times$ 4.2.b_ab_ad_ab |
6.2.b_ab_ad_ab_f_h |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )( 1 + 4 x + 9 x^{2} + 15 x^{3} + 18 x^{4} + 16 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$4$ |
$71$ |
3.2.ad_c_b $\times$ 3.2.e_j_p |
6.2.b_c_a_a_al_al |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 + x + 2 x^{2} )( 1 + x - x^{2} - 3 x^{3} - x^{4} - 6 x^{5} - 4 x^{6} + 8 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$4$ |
$88$ |
1.2.ab $\times$ 1.2.b $\times$ 4.2.b_ab_ad_ab |