| Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
| 6.2.ag_p_av_y_abn_cn |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 6 x + 15 x^{2} - 21 x^{3} + 24 x^{4} - 39 x^{5} + 65 x^{6} - 78 x^{7} + 96 x^{8} - 168 x^{9} + 240 x^{10} - 192 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-3$ |
$1$ |
simple |
| 6.2.ag_p_at_g_bb_acj |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 6 x + 15 x^{2} - 19 x^{3} + 6 x^{4} + 27 x^{5} - 61 x^{6} + 54 x^{7} + 24 x^{8} - 152 x^{9} + 240 x^{10} - 192 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-3$ |
$1$ |
simple |
| 6.2.ag_s_abk_cc_acr_dn |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 6 x + 18 x^{2} - 36 x^{3} + 54 x^{4} - 69 x^{5} + 91 x^{6} - 138 x^{7} + 216 x^{8} - 288 x^{9} + 288 x^{10} - 192 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-3$ |
$3$ |
simple |
| 6.2.af_j_ah_d_ab_ab |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 5 x + 9 x^{2} - 7 x^{3} + 3 x^{4} - x^{5} - x^{6} - 2 x^{7} + 12 x^{8} - 56 x^{9} + 144 x^{10} - 160 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-2$ |
$1$ |
simple |
| 6.2.ae_h_ag_ae_bc_acd |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 4 x + 7 x^{2} - 6 x^{3} - 4 x^{4} + 28 x^{5} - 55 x^{6} + 56 x^{7} - 16 x^{8} - 48 x^{9} + 112 x^{10} - 128 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$-1$ |
$7$ |
simple |
| 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.ad_a_j_aj_am_bl |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 9 x^{3} - 9 x^{4} - 12 x^{5} + 37 x^{6} - 24 x^{7} - 36 x^{8} + 72 x^{9} - 96 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$0$ |
$3$ |
simple |
| 6.2.ad_a_n_as_ao_cf |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 13 x^{3} - 18 x^{4} - 14 x^{5} + 57 x^{6} - 28 x^{7} - 72 x^{8} + 104 x^{9} - 96 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$0$ |
$8$ |
simple |
| 6.2.ad_d_a_ad_g_al |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 3 x^{2} - 3 x^{4} + 6 x^{5} - 11 x^{6} + 12 x^{7} - 12 x^{8} + 48 x^{10} - 96 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$0$ |
$9$ |
simple |
| 6.2.ad_d_a_ad_m_az |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 3 x^{2} - 3 x^{4} + 12 x^{5} - 25 x^{6} + 24 x^{7} - 12 x^{8} + 48 x^{10} - 96 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$0$ |
$13$ |
simple |
| 6.2.ad_e_ad_ab_m_aba |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 4 x^{2} - 3 x^{3} - x^{4} + 12 x^{5} - 26 x^{6} + 24 x^{7} - 4 x^{8} - 24 x^{9} + 64 x^{10} - 96 x^{11} + 64 x^{12}$ |
$4$ |
$2$ |
$0$ |
$12$ |
simple |
| 6.2.ad_e_ab_ag_n_av |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 4 x^{2} - x^{3} - 6 x^{4} + 13 x^{5} - 21 x^{6} + 26 x^{7} - 24 x^{8} - 8 x^{9} + 64 x^{10} - 96 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$0$ |
$13$ |
simple |
| 6.2.ad_f_ag_d_g_ar |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 5 x^{2} - 6 x^{3} + 3 x^{4} + 6 x^{5} - 17 x^{6} + 12 x^{7} + 12 x^{8} - 48 x^{9} + 80 x^{10} - 96 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$0$ |
$13$ |
simple |
| 6.2.ad_g_aj_j_ag_c |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 6 x^{2} - 9 x^{3} + 9 x^{4} - 6 x^{5} + 2 x^{6} - 12 x^{7} + 36 x^{8} - 72 x^{9} + 96 x^{10} - 96 x^{11} + 64 x^{12}$ |
$4$ |
$2$ |
$0$ |
$16$ |
simple |
| 6.2.ad_g_aj_m_ap_r |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 15 x^{5} + 17 x^{6} - 30 x^{7} + 48 x^{8} - 72 x^{9} + 96 x^{10} - 96 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$0$ |
$19$ |
simple |
| 6.2.ad_g_ai_g_a_ah |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 6 x^{2} - 8 x^{3} + 6 x^{4} - 7 x^{6} + 24 x^{8} - 64 x^{9} + 96 x^{10} - 96 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$0$ |
$19$ |
simple |
| 6.2.ad_g_ai_p_abb_bv |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 6 x^{2} - 8 x^{3} + 15 x^{4} - 27 x^{5} + 47 x^{6} - 54 x^{7} + 60 x^{8} - 64 x^{9} + 96 x^{10} - 96 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$0$ |
$37$ |
simple |
| 6.2.ad_g_ag_ad_v_abr |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 6 x^{2} - 6 x^{3} - 3 x^{4} + 21 x^{5} - 43 x^{6} + 42 x^{7} - 12 x^{8} - 48 x^{9} + 96 x^{10} - 96 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$0$ |
$19$ |
simple |
| 6.2.ad_g_ag_g_ag_l |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 6 x^{2} - 6 x^{3} + 6 x^{4} - 6 x^{5} + 11 x^{6} - 12 x^{7} + 24 x^{8} - 48 x^{9} + 96 x^{10} - 96 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$0$ |
$37$ |
simple |
| 6.2.ad_h_ap_bf_abx_ct |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 7 x^{2} - 15 x^{3} + 31 x^{4} - 49 x^{5} + 71 x^{6} - 98 x^{7} + 124 x^{8} - 120 x^{9} + 112 x^{10} - 96 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$0$ |
$29$ |
simple |
| 6.2.ad_h_am_r_ay_bf |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 7 x^{2} - 12 x^{3} + 17 x^{4} - 24 x^{5} + 31 x^{6} - 48 x^{7} + 68 x^{8} - 96 x^{9} + 112 x^{10} - 96 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$0$ |
$21$ |
simple |
| 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_j_as_bk_acf_dn |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 3 x + 9 x^{2} - 18 x^{3} + 36 x^{4} - 57 x^{5} + 91 x^{6} - 114 x^{7} + 144 x^{8} - 144 x^{9} + 144 x^{10} - 96 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$0$ |
$57$ |
simple |
| 6.2.ac_ab_e_b_ad_ab |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 2 x - x^{2} + 4 x^{3} + x^{4} - 3 x^{5} - x^{6} - 6 x^{7} + 4 x^{8} + 32 x^{9} - 16 x^{10} - 64 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$1$ |
$13$ |
simple |
| 6.2.ac_a_e_ae_a_e |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + 4 x^{3} - 4 x^{4} + 4 x^{6} - 16 x^{8} + 32 x^{9} - 64 x^{11} + 64 x^{12}$ |
$0$ |
$6$ |
$1$ |
$19$ |
simple |
| 6.2.ac_b_a_ad_h_aj |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + x^{2} - 3 x^{4} + 7 x^{5} - 9 x^{6} + 14 x^{7} - 12 x^{8} + 16 x^{10} - 64 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$1$ |
$13$ |
simple |
| 6.2.ac_b_e_ah_b_h |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + x^{2} + 4 x^{3} - 7 x^{4} + x^{5} + 7 x^{6} + 2 x^{7} - 28 x^{8} + 32 x^{9} + 16 x^{10} - 64 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$1$ |
$27$ |
simple |
| 6.2.ac_b_g_aj_ac_s |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + x^{2} + 6 x^{3} - 9 x^{4} - 2 x^{5} + 18 x^{6} - 4 x^{7} - 36 x^{8} + 48 x^{9} + 16 x^{10} - 64 x^{11} + 64 x^{12}$ |
$4$ |
$2$ |
$1$ |
$37$ |
simple |
| 6.2.ac_c_ah_k_an_bb |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + 2 x^{2} - 7 x^{3} + 10 x^{4} - 13 x^{5} + 27 x^{6} - 26 x^{7} + 40 x^{8} - 56 x^{9} + 32 x^{10} - 64 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$1$ |
$8$ |
simple |
| 6.2.ac_c_ac_ad_m_aq |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + 2 x^{2} - 2 x^{3} - 3 x^{4} + 12 x^{5} - 16 x^{6} + 24 x^{7} - 12 x^{8} - 16 x^{9} + 32 x^{10} - 64 x^{11} + 64 x^{12}$ |
$4$ |
$2$ |
$1$ |
$20$ |
simple |
| 6.2.ac_c_ac_ac_g_ah |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + 2 x^{2} - 2 x^{3} - 2 x^{4} + 6 x^{5} - 7 x^{6} + 12 x^{7} - 8 x^{8} - 16 x^{9} + 32 x^{10} - 64 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$1$ |
$16$ |
simple |
| 6.2.ac_c_a_ae_e_ae |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + 2 x^{2} - 4 x^{4} + 4 x^{5} - 4 x^{6} + 8 x^{7} - 16 x^{8} + 32 x^{10} - 64 x^{11} + 64 x^{12}$ |
$0$ |
$6$ |
$1$ |
$21$ |
simple |
| 6.2.ac_c_a_ae_i_ai |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + 2 x^{2} - 4 x^{4} + 8 x^{5} - 8 x^{6} + 16 x^{7} - 16 x^{8} + 32 x^{10} - 64 x^{11} + 64 x^{12}$ |
$0$ |
$6$ |
$1$ |
$29$ |
simple |
| 6.2.ac_c_a_ad_k_ao |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + 2 x^{2} - 3 x^{4} + 10 x^{5} - 14 x^{6} + 20 x^{7} - 12 x^{8} + 32 x^{10} - 64 x^{11} + 64 x^{12}$ |
$4$ |
$2$ |
$1$ |
$34$ |
simple |
| 6.2.ac_c_a_d_ag_n |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + 2 x^{2} + 3 x^{4} - 6 x^{5} + 13 x^{6} - 12 x^{7} + 12 x^{8} + 32 x^{10} - 64 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$1$ |
$43$ |
simple |
| 6.2.ac_d_ae_b_b_ab |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + 3 x^{2} - 4 x^{3} + x^{4} + x^{5} - x^{6} + 2 x^{7} + 4 x^{8} - 32 x^{9} + 48 x^{10} - 64 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$1$ |
$21$ |
simple |
| 6.2.ac_d_ac_ab_a_ac |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + 3 x^{2} - 2 x^{3} - x^{4} - 2 x^{6} - 4 x^{8} - 16 x^{9} + 48 x^{10} - 64 x^{11} + 64 x^{12}$ |
$4$ |
$2$ |
$1$ |
$25$ |
simple |
| 6.2.ac_e_ag_g_ai_j |
$6$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + 4 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 9 x^{6} - 16 x^{7} + 24 x^{8} - 48 x^{9} + 64 x^{10} - 64 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$1$ |
$28$ |
simple |
| 6.2.ab_ad_c_f_a_al |
$6$ |
$\F_{2}$ |
$2$ |
$1 - x - 3 x^{2} + 2 x^{3} + 5 x^{4} - 11 x^{6} + 20 x^{8} + 16 x^{9} - 48 x^{10} - 32 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$2$ |
$13$ |
simple |
| 6.2.ab_ac_d_a_ab_d |
$6$ |
$\F_{2}$ |
$2$ |
$1 - x - 2 x^{2} + 3 x^{3} - x^{5} + 3 x^{6} - 2 x^{7} + 24 x^{9} - 32 x^{10} - 32 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$2$ |
$25$ |
simple |
| 6.2.ab_ab_a_ab_c_f |
$6$ |
$\F_{2}$ |
$2$ |
$1 - x - x^{2} - x^{4} + 2 x^{5} + 5 x^{6} + 4 x^{7} - 4 x^{8} - 16 x^{10} - 32 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$2$ |
$21$ |
simple |
| 6.2.ab_ab_c_ac_a_i |
$6$ |
$\F_{2}$ |
$2$ |
$1 - x - x^{2} + 2 x^{3} - 2 x^{4} + 8 x^{6} - 8 x^{8} + 16 x^{9} - 16 x^{10} - 32 x^{11} + 64 x^{12}$ |
$2$ |
$4$ |
$2$ |
$31$ |
simple |
| 6.2.ab_ab_e_ad_ac_n |
$6$ |
$\F_{2}$ |
$2$ |
$1 - x - x^{2} + 4 x^{3} - 3 x^{4} - 2 x^{5} + 13 x^{6} - 4 x^{7} - 12 x^{8} + 32 x^{9} - 16 x^{10} - 32 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$2$ |
$43$ |
simple |
| 6.2.ab_ab_i_af_ag_bd |
$6$ |
$\F_{2}$ |
$2$ |
$1 - x - x^{2} + 8 x^{3} - 5 x^{4} - 6 x^{5} + 29 x^{6} - 12 x^{7} - 20 x^{8} + 64 x^{9} - 16 x^{10} - 32 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$2$ |
$73$ |
simple |
| 6.2.ab_a_ab_ab_a_k |
$6$ |
$\F_{2}$ |
$2$ |
$1 - x - x^{3} - x^{4} + 10 x^{6} - 4 x^{8} - 8 x^{9} - 32 x^{11} + 64 x^{12}$ |
$4$ |
$2$ |
$2$ |
$28$ |
simple |
| 6.2.ab_a_b_ac_ab_l |
$6$ |
$\F_{2}$ |
$2$ |
$1 - x + x^{3} - 2 x^{4} - x^{5} + 11 x^{6} - 2 x^{7} - 8 x^{8} + 8 x^{9} - 32 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$2$ |
$39$ |
simple |
| 6.2.ab_a_f_ae_ad_t |
$6$ |
$\F_{2}$ |
$2$ |
$1 - x + 5 x^{3} - 4 x^{4} - 3 x^{5} + 19 x^{6} - 6 x^{7} - 16 x^{8} + 40 x^{9} - 32 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$2$ |
$67$ |
simple |
| 6.2.ab_b_ag_d_ae_v |
$6$ |
$\F_{2}$ |
$2$ |
$1 - x + x^{2} - 6 x^{3} + 3 x^{4} - 4 x^{5} + 21 x^{6} - 8 x^{7} + 12 x^{8} - 48 x^{9} + 16 x^{10} - 32 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$2$ |
$19$ |
simple |
| 6.2.ab_b_ac_b_ae_n |
$6$ |
$\F_{2}$ |
$2$ |
$1 - x + x^{2} - 2 x^{3} + x^{4} - 4 x^{5} + 13 x^{6} - 8 x^{7} + 4 x^{8} - 16 x^{9} + 16 x^{10} - 32 x^{11} + 64 x^{12}$ |
$6$ |
$0$ |
$2$ |
$37$ |
simple |
| 6.2.ab_b_a_a_ae_m |
$6$ |
$\F_{2}$ |
$2$ |
$1 - x + x^{2} - 4 x^{5} + 12 x^{6} - 8 x^{7} + 16 x^{10} - 32 x^{11} + 64 x^{12}$ |
$2$ |
$4$ |
$2$ |
$49$ |
simple |
