Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
6.2.ai_bj_aee_jw_ast_bdf |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$-5$ |
$2$ |
1.2.ab $\times$ 2.2.ad_f $\times$ 3.2.ae_j_ap |
6.2.ah_y_acc_dn_aey_gt |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$-4$ |
$2$ |
1.2.ab $\times$ 2.2.ad_f $\times$ 3.2.ad_c_b |
6.2.ag_t_abs_de_afd_hp |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$-3$ |
$2$ |
1.2.ab $\times$ 2.2.ab_ab $\times$ 3.2.ae_j_ap |
6.2.ag_v_ace_eq_aih_mr |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$-3$ |
$4$ |
1.2.b $\times$ 2.2.ad_f $\times$ 3.2.ae_j_ap |
6.2.af_k_am_t_abs_cz |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$-2$ |
$2$ |
1.2.ab $\times$ 2.2.ab_ab $\times$ 3.2.ad_c_b |
6.2.af_m_aw_bn_ack_dl |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$-2$ |
$4$ |
1.2.b $\times$ 2.2.ad_f $\times$ 3.2.ad_c_b |
6.2.af_m_ar_k_m_abh |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - 3 x^{2} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$-2$ |
$4$ |
1.2.ab $\times$ 2.2.a_ad $\times$ 3.2.ae_j_ap |
6.2.af_q_abl_cs_aem_gp |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 + x^{2} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$-2$ |
$12$ |
1.2.ab $\times$ 2.2.a_b $\times$ 3.2.ae_j_ap |
6.2.ae_e_f_ak_aj_bj |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - 3 x^{2} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$-1$ |
$4$ |
1.2.ab $\times$ 2.2.a_ad $\times$ 3.2.ad_c_b |
6.2.ae_h_ag_d_ah_p |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 7 x^{2} - 6 x^{3} + 3 x^{4} - 7 x^{5} + 15 x^{6} - 14 x^{7} + 12 x^{8} - 48 x^{9} + 112 x^{10} - 128 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-1$ |
$7$ |
simple |
6.2.ae_h_af_af_ba_abx |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 - x - x^{2} + 3 x^{3} - x^{4} + 6 x^{5} - 4 x^{6} - 8 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$-1$ |
$11$ |
2.2.ad_f $\times$ 4.2.ab_ab_d_ab |
6.2.ae_i_al_s_abl_cl |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 + x^{2} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$-1$ |
$12$ |
1.2.ab $\times$ 2.2.a_b $\times$ 3.2.ad_c_b |
6.2.ae_j_au_bm_acj_dn |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$-1$ |
$4$ |
1.2.b $\times$ 2.2.ab_ab $\times$ 3.2.ae_j_ap |
6.2.ae_j_ak_ac_bd_ach |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$-1$ |
$14$ |
1.2.ab $\times$ 2.2.b_ab $\times$ 3.2.ae_j_ap |
6.2.ad_c_ae_t_aw_l |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$0$ |
$4$ |
1.2.b $\times$ 2.2.ab_ab $\times$ 3.2.ad_c_b |
6.2.ad_c_g_al_ac_v |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$0$ |
$14$ |
1.2.ab $\times$ 2.2.b_ab $\times$ 3.2.ad_c_b |
6.2.ad_e_af_e_c_ah |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 - 3 x^{2} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$0$ |
$8$ |
1.2.b $\times$ 2.2.a_ad $\times$ 3.2.ae_j_ap |
6.2.ad_h_ai_d_o_abb |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 7 x^{2} - 8 x^{3} + 3 x^{4} + 14 x^{5} - 27 x^{6} + 28 x^{7} + 12 x^{8} - 64 x^{9} + 112 x^{10} - 96 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$0$ |
$43$ |
simple |
6.2.ad_i_ar_bg_acc_cz |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 + x^{2} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$0$ |
$24$ |
1.2.b $\times$ 2.2.a_b $\times$ 3.2.ae_j_ap |
6.2.ac_ac_d_k_af_at |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 - 3 x^{2} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$1$ |
$8$ |
1.2.b $\times$ 2.2.a_ad $\times$ 3.2.ad_c_b |
6.2.ac_ab_d_d_c_at |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 - x - x^{2} + 3 x^{3} - x^{4} + 6 x^{5} - 4 x^{6} - 8 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$1$ |
$11$ |
2.2.ab_ab $\times$ 4.2.ab_ab_d_ab |
6.2.ac_b_ab_b_ai_x |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 + x - x^{2} - 3 x^{3} - x^{4} - 6 x^{5} - 4 x^{6} + 8 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$1$ |
$11$ |
2.2.ad_f $\times$ 4.2.b_ab_ad_ab |
6.2.ac_c_af_o_ar_r |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 + x^{2} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$1$ |
$24$ |
1.2.b $\times$ 2.2.a_b $\times$ 3.2.ad_c_b |
6.2.ac_d_ac_ac_j_av |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$1$ |
$28$ |
1.2.b $\times$ 2.2.b_ab $\times$ 3.2.ae_j_ap |
6.2.ac_f_ag_e_ab_aj |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 + 3 x + 5 x^{2} + 6 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$1$ |
$38$ |
1.2.ab $\times$ 2.2.d_f $\times$ 3.2.ae_j_ap |
6.2.ab_ae_g_g_ah_af |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 3 x^{2} + 4 x^{4} )( 1 - x - x^{2} + 3 x^{3} - x^{4} + 6 x^{5} - 4 x^{6} - 8 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$2$ |
$22$ |
2.2.a_ad $\times$ 4.2.ab_ab_d_ab |
6.2.ab_ac_c_f_a_an |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$2$ |
$28$ |
1.2.b $\times$ 2.2.b_ab $\times$ 3.2.ad_c_b |
6.2.ab_a_a_b_ac_h |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 + 3 x + 5 x^{2} + 6 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$2$ |
$38$ |
1.2.ab $\times$ 2.2.d_f $\times$ 3.2.ad_c_b |
6.2.ab_a_c_c_f_aj |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 + x^{2} + 4 x^{4} )( 1 - x - x^{2} + 3 x^{3} - x^{4} + 6 x^{5} - 4 x^{6} - 8 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$2$ |
$66$ |
2.2.a_b $\times$ 4.2.ab_ab_d_ab |
6.2.ab_a_e_ad_ae_r |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 + 3 x + 2 x^{2} - x^{3} + 4 x^{4} + 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$2$ |
$58$ |
1.2.ab $\times$ 2.2.ad_f $\times$ 3.2.d_c_ab |
6.2.a_ad_af_f_e_f |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 + x - x^{2} - 3 x^{3} - x^{4} - 6 x^{5} - 4 x^{6} + 8 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$3$ |
$11$ |
2.2.ab_ab $\times$ 4.2.b_ab_ad_ab |
6.2.a_ad_f_f_ae_f |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )( 1 - x - x^{2} + 3 x^{3} - x^{4} + 6 x^{5} - 4 x^{6} - 8 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$3$ |
$77$ |
2.2.b_ab $\times$ 4.2.ab_ab_d_ab |
6.2.a_ac_a_ad_a_n |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 2 x^{2} - 3 x^{4} + 13 x^{6} - 12 x^{8} - 32 x^{10} + 64 x^{12}$ |
$6$ |
$0$ |
$3$ |
$29$ |
simple |
6.2.a_d_ac_a_af_ah |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 + 3 x + 5 x^{2} + 6 x^{3} + 4 x^{4} )( 1 - 4 x + 9 x^{2} - 15 x^{3} + 18 x^{4} - 16 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$3$ |
$76$ |
1.2.b $\times$ 2.2.d_f $\times$ 3.2.ae_j_ap |
6.2.a_d_c_a_f_ah |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 + 4 x + 9 x^{2} + 15 x^{3} + 18 x^{4} + 16 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$3$ |
$142$ |
1.2.ab $\times$ 2.2.ad_f $\times$ 3.2.e_j_p |
6.2.a_f_a_s_a_bp |
$6$ |
$\F_{2}$ |
$2$ |
$1 + 5 x^{2} + 18 x^{4} + 41 x^{6} + 72 x^{8} + 80 x^{10} + 64 x^{12}$ |
$6$ |
$0$ |
$3$ |
$281$ |
simple |
6.2.b_ae_ag_g_h_af |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - 3 x^{2} + 4 x^{4} )( 1 + x - x^{2} - 3 x^{3} - x^{4} - 6 x^{5} - 4 x^{6} + 8 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$4$ |
$22$ |
2.2.a_ad $\times$ 4.2.b_ab_ad_ab |
6.2.b_ac_ac_f_a_an |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 + 3 x + 2 x^{2} - x^{3} + 4 x^{4} + 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$4$ |
$58$ |
1.2.ab $\times$ 2.2.ab_ab $\times$ 3.2.d_c_ab |
6.2.b_a_ae_ad_e_r |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 + 3 x + 5 x^{2} + 6 x^{3} + 4 x^{4} )( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$4$ |
$76$ |
1.2.b $\times$ 2.2.d_f $\times$ 3.2.ad_c_b |
6.2.b_a_ac_c_af_aj |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 + x^{2} + 4 x^{4} )( 1 + x - x^{2} - 3 x^{3} - x^{4} - 6 x^{5} - 4 x^{6} + 8 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$4$ |
$66$ |
2.2.a_b $\times$ 4.2.b_ab_ad_ab |
6.2.b_a_a_b_c_h |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 + 3 x + 2 x^{2} - x^{3} + 4 x^{4} + 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$4$ |
$116$ |
1.2.b $\times$ 2.2.ad_f $\times$ 3.2.d_c_ab |
6.2.c_ac_ad_k_f_at |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - 3 x^{2} + 4 x^{4} )( 1 + 3 x + 2 x^{2} - x^{3} + 4 x^{4} + 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$5$ |
$116$ |
1.2.ab $\times$ 2.2.a_ad $\times$ 3.2.d_c_ab |
6.2.c_ab_ad_d_ac_at |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )( 1 + x - x^{2} - 3 x^{3} - x^{4} - 6 x^{5} - 4 x^{6} + 8 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$5$ |
$77$ |
2.2.b_ab $\times$ 4.2.b_ab_ad_ab |
6.2.c_b_b_b_i_x |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 + 3 x + 5 x^{2} + 6 x^{3} + 4 x^{4} )( 1 - x - x^{2} + 3 x^{3} - x^{4} + 6 x^{5} - 4 x^{6} - 8 x^{7} + 16 x^{8} )$ |
$6$ |
$0$ |
$5$ |
$209$ |
2.2.d_f $\times$ 4.2.ab_ab_d_ab |
6.2.c_c_f_o_r_r |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 + x^{2} + 4 x^{4} )( 1 + 3 x + 2 x^{2} - x^{3} + 4 x^{4} + 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$5$ |
$348$ |
1.2.ab $\times$ 2.2.a_b $\times$ 3.2.d_c_ab |
6.2.c_d_c_ac_aj_av |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 + 4 x + 9 x^{2} + 15 x^{3} + 18 x^{4} + 16 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$5$ |
$142$ |
1.2.ab $\times$ 2.2.ab_ab $\times$ 3.2.e_j_p |
6.2.c_f_g_e_b_aj |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )( 1 + 4 x + 9 x^{2} + 15 x^{3} + 18 x^{4} + 16 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$5$ |
$284$ |
1.2.b $\times$ 2.2.ad_f $\times$ 3.2.e_j_p |
6.2.d_c_ag_al_c_v |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 - x - x^{2} - 2 x^{3} + 4 x^{4} )( 1 + 3 x + 2 x^{2} - x^{3} + 4 x^{4} + 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$6$ |
$116$ |
1.2.b $\times$ 2.2.ab_ab $\times$ 3.2.d_c_ab |
6.2.d_c_e_t_w_l |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 + x - x^{2} + 2 x^{3} + 4 x^{4} )( 1 + 3 x + 2 x^{2} - x^{3} + 4 x^{4} + 12 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$6$ |
$406$ |
1.2.ab $\times$ 2.2.b_ab $\times$ 3.2.d_c_ab |
6.2.d_e_f_e_ac_ah |
$6$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - 3 x^{2} + 4 x^{4} )( 1 + 4 x + 9 x^{2} + 15 x^{3} + 18 x^{4} + 16 x^{5} + 8 x^{6} )$ |
$6$ |
$0$ |
$6$ |
$284$ |
1.2.ab $\times$ 2.2.a_ad $\times$ 3.2.e_j_p |