| Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
| 3.4.am_ci_age |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{6}$ |
$0$ |
$3$ |
$-7$ |
$1$ |
1.4.ae 3 |
| 3.4.al_ca_afg |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{4}( 1 - 3 x + 4 x^{2} )$ |
$1$ |
$2$ |
$-6$ |
$2$ |
1.4.ae 2 $\times$ 1.4.ad |
| 3.4.ak_bs_aei |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{4}( 1 - 2 x + 4 x^{2} )$ |
$0$ |
$3$ |
$-5$ |
$3$ |
1.4.ae 2 $\times$ 1.4.ac |
| 3.4.ak_bt_aem |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{2}( 1 - 3 x + 4 x^{2} )^{2}$ |
$2$ |
$1$ |
$-5$ |
$4$ |
1.4.ae $\times$ 1.4.ad 2 |
| 3.4.aj_bk_adk |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{4}( 1 - x + 4 x^{2} )$ |
$1$ |
$2$ |
$-4$ |
$4$ |
1.4.ae 2 $\times$ 1.4.ab |
| 3.4.aj_bl_ado |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{2}( 1 - 5 x + 13 x^{2} - 20 x^{3} + 16 x^{4} )$ |
$2$ |
$1$ |
$-4$ |
$5$ |
1.4.ae $\times$ 2.4.af_n |
| 3.4.aj_bm_ads |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{2}( 1 - 3 x + 4 x^{2} )( 1 - 2 x + 4 x^{2} )$ |
$1$ |
$2$ |
$-4$ |
$6$ |
1.4.ae $\times$ 1.4.ad $\times$ 1.4.ac |
| 3.4.aj_bn_adv |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 3 x + 4 x^{2} )^{3}$ |
$3$ |
$0$ |
$-4$ |
$8$ |
1.4.ad 3 |
| 3.4.ai_bc_acm |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{4}( 1 + 4 x^{2} )$ |
$0$ |
$3$ |
$-3$ |
$5$ |
1.4.ae 2 $\times$ 1.4.a |
| 3.4.ai_bd_acq |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{2}( 1 - 4 x + 9 x^{2} - 16 x^{3} + 16 x^{4} )$ |
$2$ |
$1$ |
$-3$ |
$6$ |
1.4.ae $\times$ 2.4.ae_j |
| 3.4.ai_bf_acy |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{2}( 1 - 3 x + 4 x^{2} )( 1 - x + 4 x^{2} )$ |
$2$ |
$1$ |
$-3$ |
$8$ |
1.4.ae $\times$ 1.4.ad $\times$ 1.4.ab |
| 3.4.ai_bg_adc |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{2}( 1 - 2 x + 4 x^{2} )^{2}$ |
$0$ |
$3$ |
$-3$ |
$9$ |
1.4.ae $\times$ 1.4.ac 2 |
| 3.4.ai_bg_adb |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 3 x + 4 x^{2} )( 1 - 5 x + 13 x^{2} - 20 x^{3} + 16 x^{4} )$ |
$3$ |
$0$ |
$-3$ |
$10$ |
1.4.ad $\times$ 2.4.af_n |
| 3.4.ai_bh_ade |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x + 4 x^{2} )( 1 - 3 x + 4 x^{2} )^{2}$ |
$2$ |
$1$ |
$-3$ |
$12$ |
1.4.ad 2 $\times$ 1.4.ac |
| 3.4.ah_u_abo |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{4}( 1 + x + 4 x^{2} )$ |
$1$ |
$2$ |
$-2$ |
$6$ |
1.4.ae 2 $\times$ 1.4.b |
| 3.4.ah_v_abs |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{2}( 1 - 3 x + 5 x^{2} - 12 x^{3} + 16 x^{4} )$ |
$2$ |
$1$ |
$-2$ |
$7$ |
1.4.ae $\times$ 2.4.ad_f |
| 3.4.ah_w_abw |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{2}( 1 - 3 x + 6 x^{2} - 12 x^{3} + 16 x^{4} )$ |
$1$ |
$2$ |
$-2$ |
$8$ |
1.4.ae $\times$ 2.4.ad_g |
| 3.4.ah_x_aca |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{2}( 1 - 3 x + 7 x^{2} - 12 x^{3} + 16 x^{4} )$ |
$2$ |
$1$ |
$-2$ |
$9$ |
1.4.ae $\times$ 2.4.ad_h |
| 3.4.ah_y_ace |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{2}( 1 - 3 x + 4 x^{2} )( 1 + 4 x^{2} )$ |
$1$ |
$2$ |
$-2$ |
$10$ |
1.4.ae $\times$ 1.4.ad $\times$ 1.4.a |
| 3.4.ah_z_aci |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{2}( 1 - 3 x + 9 x^{2} - 12 x^{3} + 16 x^{4} )$ |
$2$ |
$1$ |
$-2$ |
$11$ |
1.4.ae $\times$ 2.4.ad_j |
| 3.4.ah_z_ach |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 3 x + 4 x^{2} )( 1 - 4 x + 9 x^{2} - 16 x^{3} + 16 x^{4} )$ |
$3$ |
$0$ |
$-2$ |
$12$ |
1.4.ad $\times$ 2.4.ae_j |
| 3.4.ah_ba_acm |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{2}( 1 - 2 x + 4 x^{2} )( 1 - x + 4 x^{2} )$ |
$1$ |
$2$ |
$-2$ |
$12$ |
1.4.ae $\times$ 1.4.ac $\times$ 1.4.ab |
| 3.4.ah_ba_acl |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$1 - 7 x + 26 x^{2} - 63 x^{3} + 104 x^{4} - 112 x^{5} + 64 x^{6}$ |
$3$ |
$0$ |
$-2$ |
$13$ |
simple |
| 3.4.ah_bb_aco |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x + 4 x^{2} )( 1 - 5 x + 13 x^{2} - 20 x^{3} + 16 x^{4} )$ |
$2$ |
$1$ |
$-2$ |
$15$ |
1.4.ac $\times$ 2.4.af_n |
| 3.4.ah_bb_acn |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - x + 4 x^{2} )( 1 - 3 x + 4 x^{2} )^{2}$ |
$3$ |
$0$ |
$-2$ |
$16$ |
1.4.ad 2 $\times$ 1.4.ab |
| 3.4.ah_bc_acq |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 3 x + 4 x^{2} )( 1 - 2 x + 4 x^{2} )^{2}$ |
$1$ |
$2$ |
$-2$ |
$18$ |
1.4.ad $\times$ 1.4.ac 2 |
| 3.4.ag_m_aq |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{4}( 1 + 2 x + 4 x^{2} )$ |
$0$ |
$3$ |
$-1$ |
$7$ |
1.4.ae 2 $\times$ 1.4.c |
| 3.4.ag_n_au |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{2}( 1 - 2 x + x^{2} - 8 x^{3} + 16 x^{4} )$ |
$2$ |
$1$ |
$-1$ |
$8$ |
1.4.ae $\times$ 2.4.ac_b |
| 3.4.ag_p_abc |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{2}( 1 - 2 x + 3 x^{2} - 8 x^{3} + 16 x^{4} )$ |
$2$ |
$1$ |
$-1$ |
$10$ |
1.4.ae $\times$ 2.4.ac_d |
| 3.4.ag_q_abg |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{2}( 1 - 2 x + 4 x^{2} - 8 x^{3} + 16 x^{4} )$ |
$0$ |
$3$ |
$-1$ |
$11$ |
1.4.ae $\times$ 2.4.ac_e |
| 3.4.ag_r_abk |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{2}( 1 - 3 x + 4 x^{2} )( 1 + x + 4 x^{2} )$ |
$2$ |
$1$ |
$-1$ |
$12$ |
1.4.ae $\times$ 1.4.ad $\times$ 1.4.b |
| 3.4.ag_r_abj |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$1 - 6 x + 17 x^{2} - 35 x^{3} + 68 x^{4} - 96 x^{5} + 64 x^{6}$ |
$3$ |
$0$ |
$-1$ |
$13$ |
simple |
| 3.4.ag_s_abn |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 3 x + 4 x^{2} )( 1 - 3 x + 5 x^{2} - 12 x^{3} + 16 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$14$ |
1.4.ad $\times$ 2.4.ad_f |
| 3.4.ag_t_abs |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{2}( 1 - 2 x + 7 x^{2} - 8 x^{3} + 16 x^{4} )$ |
$2$ |
$1$ |
$-1$ |
$14$ |
1.4.ae $\times$ 2.4.ac_h |
| 3.4.ag_t_abr |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$1 - 6 x + 19 x^{2} - 43 x^{3} + 76 x^{4} - 96 x^{5} + 64 x^{6}$ |
$3$ |
$0$ |
$-1$ |
$15$ |
simple |
| 3.4.ag_t_abq |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 3 x + 4 x^{2} )( 1 - 3 x + 6 x^{2} - 12 x^{3} + 16 x^{4} )$ |
$2$ |
$1$ |
$-1$ |
$16$ |
1.4.ad $\times$ 2.4.ad_g |
| 3.4.ag_u_abw |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{2}( 1 - 2 x + 4 x^{2} )( 1 + 4 x^{2} )$ |
$0$ |
$3$ |
$-1$ |
$15$ |
1.4.ae $\times$ 1.4.ac $\times$ 1.4.a |
| 3.4.ag_u_abv |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$1 - 6 x + 20 x^{2} - 47 x^{3} + 80 x^{4} - 96 x^{5} + 64 x^{6}$ |
$3$ |
$0$ |
$-1$ |
$16$ |
simple |
| 3.4.ag_u_abt |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 3 x + 4 x^{2} )( 1 - 3 x + 7 x^{2} - 12 x^{3} + 16 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$18$ |
1.4.ad $\times$ 2.4.ad_h |
| 3.4.ag_v_aca |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{2}( 1 - x + 4 x^{2} )^{2}$ |
$2$ |
$1$ |
$-1$ |
$16$ |
1.4.ae $\times$ 1.4.ab 2 |
| 3.4.ag_v_abz |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$1 - 6 x + 21 x^{2} - 51 x^{3} + 84 x^{4} - 96 x^{5} + 64 x^{6}$ |
$3$ |
$0$ |
$-1$ |
$17$ |
simple |
| 3.4.ag_v_aby |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x + 4 x^{2} )( 1 - 4 x + 9 x^{2} - 16 x^{3} + 16 x^{4} )$ |
$2$ |
$1$ |
$-1$ |
$18$ |
1.4.ac $\times$ 2.4.ae_j |
| 3.4.ag_v_abx |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$1 - 6 x + 21 x^{2} - 49 x^{3} + 84 x^{4} - 96 x^{5} + 64 x^{6}$ |
$3$ |
$0$ |
$-1$ |
$19$ |
simple |
| 3.4.ag_v_abw |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 + 4 x^{2} )( 1 - 3 x + 4 x^{2} )^{2}$ |
$2$ |
$1$ |
$-1$ |
$20$ |
1.4.ad 2 $\times$ 1.4.a |
| 3.4.ag_w_acb |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - x + 4 x^{2} )( 1 - 5 x + 13 x^{2} - 20 x^{3} + 16 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$20$ |
1.4.ab $\times$ 2.4.af_n |
| 3.4.ag_w_abz |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 3 x + 4 x^{2} )( 1 - 3 x + 9 x^{2} - 12 x^{3} + 16 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$22$ |
1.4.ad $\times$ 2.4.ad_j |
| 3.4.ag_x_acc |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 3 x + 4 x^{2} )( 1 - 2 x + 4 x^{2} )( 1 - x + 4 x^{2} )$ |
$2$ |
$1$ |
$-1$ |
$24$ |
1.4.ad $\times$ 1.4.ac $\times$ 1.4.ab |
| 3.4.ag_y_ace |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x + 4 x^{2} )^{3}$ |
$0$ |
$3$ |
$-1$ |
$27$ |
1.4.ac 3 |
| 3.4.af_e_i |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{4}( 1 + 3 x + 4 x^{2} )$ |
$1$ |
$2$ |
$0$ |
$8$ |
1.4.ae 2 $\times$ 1.4.d |
| 3.4.af_f_e |
$3$ |
$\F_{2^{2}}$ |
$2$ |
$( 1 - 2 x )^{2}( 1 - x - 3 x^{2} - 4 x^{3} + 16 x^{4} )$ |
$2$ |
$1$ |
$0$ |
$9$ |
1.4.ae $\times$ 2.4.ab_ad |
