Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
3.2.ag_s_abg |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )^{3}$ |
$0$ |
$3$ |
$-3$ |
$1$ |
1.2.ac 3 |
3.2.ae_i_am |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ |
$0$ |
$3$ |
$-1$ |
$1$ |
1.2.ac $\times$ 2.2.ac_c |
3.2.ae_k_aq |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}$ |
$0$ |
$3$ |
$-1$ |
$3$ |
1.2.ac 2 $\times$ 1.2.a |
3.2.ac_ac_i |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 - 2 x^{2} )^{2}$ |
$0$ |
$3$ |
$1$ |
$1$ |
1.2.ac $\times$ 2.2.a_ae |
3.2.ac_a_e |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 - 2 x^{2} + 4 x^{4} )$ |
$0$ |
$3$ |
$1$ |
$3$ |
1.2.ac $\times$ 2.2.a_ac |
3.2.ac_c_ac |
$3$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6}$ |
$0$ |
$3$ |
$1$ |
$3$ |
simple |
3.2.ac_c_a |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} )^{2}$ |
$0$ |
$3$ |
$1$ |
$5$ |
1.2.ac 2 $\times$ 1.2.c |
3.2.ac_e_ai |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ |
$0$ |
$3$ |
$1$ |
$3$ |
1.2.a $\times$ 2.2.ac_c |
3.2.ac_e_ag |
$3$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + 4 x^{2} - 6 x^{3} + 8 x^{4} - 8 x^{5} + 8 x^{6}$ |
$0$ |
$3$ |
$1$ |
$5$ |
simple |
3.2.ac_e_ae |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} + 4 x^{4} )$ |
$0$ |
$3$ |
$1$ |
$7$ |
1.2.ac $\times$ 2.2.a_c |
3.2.ac_g_ai |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )^{2}$ |
$0$ |
$3$ |
$1$ |
$9$ |
1.2.ac $\times$ 1.2.a 2 |
3.2.a_ac_a |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x^{2} )( 1 - 2 x^{2} )^{2}$ |
$0$ |
$3$ |
$3$ |
$3$ |
1.2.a $\times$ 2.2.a_ae |
3.2.a_a_ae |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x + 2 x^{2} )( 1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4} )$ |
$0$ |
$3$ |
$3$ |
$5$ |
1.2.c $\times$ 2.2.ac_c |
3.2.a_a_ac |
$3$ |
$\F_{2}$ |
$2$ |
$1 - 2 x^{3} + 8 x^{6}$ |
$0$ |
$3$ |
$3$ |
$7$ |
simple |
3.2.a_a_a |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x^{2} )( 1 - 2 x^{2} + 4 x^{4} )$ |
$0$ |
$3$ |
$3$ |
$9$ |
1.2.a $\times$ 2.2.a_ac |
3.2.a_a_c |
$3$ |
$\F_{2}$ |
$2$ |
$1 + 2 x^{3} + 8 x^{6}$ |
$0$ |
$3$ |
$3$ |
$11$ |
simple |
3.2.a_a_e |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 + 2 x + 2 x^{2} + 4 x^{3} + 4 x^{4} )$ |
$0$ |
$3$ |
$3$ |
$13$ |
1.2.ac $\times$ 2.2.c_c |
3.2.a_c_ac |
$3$ |
$\F_{2}$ |
$2$ |
$1 + 2 x^{2} - 2 x^{3} + 4 x^{4} + 8 x^{6}$ |
$0$ |
$3$ |
$3$ |
$13$ |
simple |
3.2.a_c_a |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )( 1 + 2 x + 2 x^{2} )$ |
$0$ |
$3$ |
$3$ |
$15$ |
1.2.ac $\times$ 1.2.a $\times$ 1.2.c |
3.2.a_c_c |
$3$ |
$\F_{2}$ |
$2$ |
$1 + 2 x^{2} + 2 x^{3} + 4 x^{4} + 8 x^{6}$ |
$0$ |
$3$ |
$3$ |
$17$ |
simple |
3.2.a_e_a |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x^{2} )( 1 + 2 x^{2} + 4 x^{4} )$ |
$0$ |
$3$ |
$3$ |
$21$ |
1.2.a $\times$ 2.2.a_c |
3.2.a_g_a |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x^{2} )^{3}$ |
$0$ |
$3$ |
$3$ |
$27$ |
1.2.a 3 |
3.2.c_ac_ai |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x + 2 x^{2} )( 1 - 2 x^{2} )^{2}$ |
$0$ |
$3$ |
$5$ |
$5$ |
1.2.c $\times$ 2.2.a_ae |
3.2.c_a_ae |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x + 2 x^{2} )( 1 - 2 x^{2} + 4 x^{4} )$ |
$0$ |
$3$ |
$5$ |
$15$ |
1.2.c $\times$ 2.2.a_ac |
3.2.c_c_a |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )^{2}$ |
$0$ |
$3$ |
$5$ |
$25$ |
1.2.ac $\times$ 1.2.c 2 |
3.2.c_c_c |
$3$ |
$\F_{2}$ |
$2$ |
$1 + 2 x + 2 x^{2} + 2 x^{3} + 4 x^{4} + 8 x^{5} + 8 x^{6}$ |
$0$ |
$3$ |
$5$ |
$27$ |
simple |
3.2.c_e_e |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x + 2 x^{2} )( 1 + 2 x^{2} + 4 x^{4} )$ |
$0$ |
$3$ |
$5$ |
$35$ |
1.2.c $\times$ 2.2.a_c |
3.2.c_e_g |
$3$ |
$\F_{2}$ |
$2$ |
$1 + 2 x + 4 x^{2} + 6 x^{3} + 8 x^{4} + 8 x^{5} + 8 x^{6}$ |
$0$ |
$3$ |
$5$ |
$37$ |
simple |
3.2.c_e_i |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x^{2} )( 1 + 2 x + 2 x^{2} + 4 x^{3} + 4 x^{4} )$ |
$0$ |
$3$ |
$5$ |
$39$ |
1.2.a $\times$ 2.2.c_c |
3.2.c_g_i |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x + 2 x^{2} )( 1 + 2 x^{2} )^{2}$ |
$0$ |
$3$ |
$5$ |
$45$ |
1.2.a 2 $\times$ 1.2.c |
3.2.e_i_m |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x + 2 x^{2} )( 1 + 2 x + 2 x^{2} + 4 x^{3} + 4 x^{4} )$ |
$0$ |
$3$ |
$7$ |
$65$ |
1.2.c $\times$ 2.2.c_c |
3.2.e_k_q |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x^{2} )( 1 + 2 x + 2 x^{2} )^{2}$ |
$0$ |
$3$ |
$7$ |
$75$ |
1.2.a $\times$ 1.2.c 2 |
3.2.g_s_bg |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x + 2 x^{2} )^{3}$ |
$0$ |
$3$ |
$9$ |
$125$ |
1.2.c 3 |
3.3.aj_bk_add |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )^{3}$ |
$0$ |
$3$ |
$-5$ |
$1$ |
1.3.ad 3 |
3.3.ag_s_abk |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{2}$ |
$0$ |
$3$ |
$-2$ |
$4$ |
1.3.ad 2 $\times$ 1.3.a |
3.3.ad_ad_s |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 - 3 x^{2} )^{2}$ |
$0$ |
$3$ |
$1$ |
$4$ |
1.3.ad $\times$ 2.3.a_ag |
3.3.ad_a_j |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 + 3 x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{2}$ |
$0$ |
$3$ |
$1$ |
$7$ |
1.3.ad 2 $\times$ 1.3.d |
3.3.ad_d_a |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 + 9 x^{4} )$ |
$0$ |
$3$ |
$1$ |
$10$ |
1.3.ad $\times$ 2.3.a_a |
3.3.ad_g_am |
$3$ |
$\F_{3}$ |
$3$ |
$1 - 3 x + 6 x^{2} - 12 x^{3} + 18 x^{4} - 27 x^{5} + 27 x^{6}$ |
$0$ |
$3$ |
$1$ |
$10$ |
simple |
3.3.ad_g_aj |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 + 3 x^{2} + 9 x^{4} )$ |
$0$ |
$3$ |
$1$ |
$13$ |
1.3.ad $\times$ 2.3.a_d |
3.3.ad_j_as |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 + 3 x^{2} )^{2}$ |
$0$ |
$3$ |
$1$ |
$16$ |
1.3.ad $\times$ 1.3.a 2 |
3.3.ad_j_ap |
$3$ |
$\F_{3}$ |
$3$ |
$1 - 3 x + 9 x^{2} - 15 x^{3} + 27 x^{4} - 27 x^{5} + 27 x^{6}$ |
$0$ |
$3$ |
$1$ |
$19$ |
simple |
3.3.a_ad_a |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 + 3 x^{2} )( 1 - 3 x^{2} )^{2}$ |
$0$ |
$3$ |
$4$ |
$16$ |
1.3.a $\times$ 2.3.a_ag |
3.3.a_a_aj |
$3$ |
$\F_{3}$ |
$3$ |
$1 - 9 x^{3} + 27 x^{6}$ |
$0$ |
$3$ |
$4$ |
$19$ |
simple |
3.3.a_a_ag |
$3$ |
$\F_{3}$ |
$3$ |
$1 - 6 x^{3} + 27 x^{6}$ |
$0$ |
$3$ |
$4$ |
$22$ |
simple |
3.3.a_a_ad |
$3$ |
$\F_{3}$ |
$3$ |
$1 - 3 x^{3} + 27 x^{6}$ |
$0$ |
$3$ |
$4$ |
$25$ |
simple |
3.3.a_a_a |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 + 3 x^{2} )( 1 + 3 x + 3 x^{2} )$ |
$0$ |
$3$ |
$4$ |
$28$ |
1.3.ad $\times$ 1.3.a $\times$ 1.3.d |
3.3.a_a_d |
$3$ |
$\F_{3}$ |
$3$ |
$1 + 3 x^{3} + 27 x^{6}$ |
$0$ |
$3$ |
$4$ |
$31$ |
simple |
3.3.a_a_g |
$3$ |
$\F_{3}$ |
$3$ |
$1 + 6 x^{3} + 27 x^{6}$ |
$0$ |
$3$ |
$4$ |
$34$ |
simple |
3.3.a_a_j |
$3$ |
$\F_{3}$ |
$3$ |
$1 + 9 x^{3} + 27 x^{6}$ |
$0$ |
$3$ |
$4$ |
$37$ |
simple |