Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
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.ai_be_aco |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 2 x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{2}$ |
$1$ |
$2$ |
$-4$ |
$2$ |
1.3.ad 2 $\times$ 1.3.ac |
3.3.ah_x_abw |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 - 4 x + 8 x^{2} - 12 x^{3} + 9 x^{4} )$ |
$2$ |
$1$ |
$-3$ |
$2$ |
1.3.ad $\times$ 2.3.ae_i |
3.3.ah_y_abz |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{2}$ |
$1$ |
$2$ |
$-3$ |
$3$ |
1.3.ad 2 $\times$ 1.3.ab |
3.3.ah_z_acc |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 - 2 x + 3 x^{2} )^{2}$ |
$2$ |
$1$ |
$-3$ |
$4$ |
1.3.ad $\times$ 1.3.ac 2 |
3.3.ag_r_abh |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 - 3 x + 5 x^{2} - 9 x^{3} + 9 x^{4} )$ |
$2$ |
$1$ |
$-2$ |
$3$ |
1.3.ad $\times$ 2.3.ad_f |
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.ag_t_abo |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 2 x + 3 x^{2} )( 1 - 4 x + 8 x^{2} - 12 x^{3} + 9 x^{4} )$ |
$3$ |
$0$ |
$-2$ |
$4$ |
1.3.ac $\times$ 2.3.ae_i |
3.3.ag_t_abn |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 - 3 x + 7 x^{2} - 9 x^{3} + 9 x^{4} )$ |
$2$ |
$1$ |
$-2$ |
$5$ |
1.3.ad $\times$ 2.3.ad_h |
3.3.ag_u_abq |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 - 2 x + 3 x^{2} )( 1 - x + 3 x^{2} )$ |
$2$ |
$1$ |
$-2$ |
$6$ |
1.3.ad $\times$ 1.3.ac $\times$ 1.3.ab |
3.3.ag_v_abs |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 2 x + 3 x^{2} )^{3}$ |
$3$ |
$0$ |
$-2$ |
$8$ |
1.3.ac 3 |
3.3.af_k_ap |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 - 2 x + x^{2} - 6 x^{3} + 9 x^{4} )$ |
$2$ |
$1$ |
$-1$ |
$3$ |
1.3.ad $\times$ 2.3.ac_b |
3.3.af_l_as |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 - 2 x + 2 x^{2} - 6 x^{3} + 9 x^{4} )$ |
$2$ |
$1$ |
$-1$ |
$4$ |
1.3.ad $\times$ 2.3.ac_c |
3.3.af_m_av |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 + x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{2}$ |
$1$ |
$2$ |
$-1$ |
$5$ |
1.3.ad 2 $\times$ 1.3.b |
3.3.af_n_az |
$3$ |
$\F_{3}$ |
$3$ |
$1 - 5 x + 13 x^{2} - 25 x^{3} + 39 x^{4} - 45 x^{5} + 27 x^{6}$ |
$3$ |
$0$ |
$-1$ |
$5$ |
simple |
3.3.af_n_ay |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 - 2 x + 4 x^{2} - 6 x^{3} + 9 x^{4} )$ |
$2$ |
$1$ |
$-1$ |
$6$ |
1.3.ad $\times$ 2.3.ac_e |
3.3.af_o_abc |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 2 x + 3 x^{2} )( 1 - 3 x + 5 x^{2} - 9 x^{3} + 9 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$6$ |
1.3.ac $\times$ 2.3.ad_f |
3.3.af_o_abb |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 - 2 x + 5 x^{2} - 6 x^{3} + 9 x^{4} )$ |
$2$ |
$1$ |
$-1$ |
$7$ |
1.3.ad $\times$ 2.3.ac_f |
3.3.af_p_abg |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - x + 3 x^{2} )( 1 - 4 x + 8 x^{2} - 12 x^{3} + 9 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$6$ |
1.3.ab $\times$ 2.3.ae_i |
3.3.af_p_abf |
$3$ |
$\F_{3}$ |
$3$ |
$1 - 5 x + 15 x^{2} - 31 x^{3} + 45 x^{4} - 45 x^{5} + 27 x^{6}$ |
$3$ |
$0$ |
$-1$ |
$7$ |
simple |
3.3.af_p_abe |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 - 2 x + 3 x^{2} )( 1 + 3 x^{2} )$ |
$1$ |
$2$ |
$-1$ |
$8$ |
1.3.ad $\times$ 1.3.ac $\times$ 1.3.a |
3.3.af_q_abh |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 - x + 3 x^{2} )^{2}$ |
$2$ |
$1$ |
$-1$ |
$9$ |
1.3.ad $\times$ 1.3.ab 2 |
3.3.af_q_abg |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 2 x + 3 x^{2} )( 1 - 3 x + 7 x^{2} - 9 x^{3} + 9 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$10$ |
1.3.ac $\times$ 2.3.ad_h |
3.3.af_r_abi |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - x + 3 x^{2} )( 1 - 2 x + 3 x^{2} )^{2}$ |
$3$ |
$0$ |
$-1$ |
$12$ |
1.3.ac 2 $\times$ 1.3.ab |
3.3.ae_e_a |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 - x - 2 x^{2} - 3 x^{3} + 9 x^{4} )$ |
$2$ |
$1$ |
$0$ |
$4$ |
1.3.ad $\times$ 2.3.ab_ac |
3.3.ae_f_ad |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 - x - x^{2} - 3 x^{3} + 9 x^{4} )$ |
$2$ |
$1$ |
$0$ |
$5$ |
1.3.ad $\times$ 2.3.ab_ab |
3.3.ae_g_ah |
$3$ |
$\F_{3}$ |
$3$ |
$1 - 4 x + 6 x^{2} - 7 x^{3} + 18 x^{4} - 36 x^{5} + 27 x^{6}$ |
$3$ |
$0$ |
$0$ |
$5$ |
simple |
3.3.ae_g_ag |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 + 2 x + 3 x^{2} )( 1 - 3 x + 3 x^{2} )^{2}$ |
$1$ |
$2$ |
$0$ |
$6$ |
1.3.ad 2 $\times$ 1.3.c |
3.3.ae_h_ak |
$3$ |
$\F_{3}$ |
$3$ |
$1 - 4 x + 7 x^{2} - 10 x^{3} + 21 x^{4} - 36 x^{5} + 27 x^{6}$ |
$3$ |
$0$ |
$0$ |
$6$ |
simple |
3.3.ae_h_aj |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 - x + x^{2} - 3 x^{3} + 9 x^{4} )$ |
$2$ |
$1$ |
$0$ |
$7$ |
1.3.ad $\times$ 2.3.ab_b |
3.3.ae_i_ao |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 2 x + 3 x^{2} )( 1 - 2 x + x^{2} - 6 x^{3} + 9 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$6$ |
1.3.ac $\times$ 2.3.ac_b |
3.3.ae_i_an |
$3$ |
$\F_{3}$ |
$3$ |
$1 - 4 x + 8 x^{2} - 13 x^{3} + 24 x^{4} - 36 x^{5} + 27 x^{6}$ |
$3$ |
$0$ |
$0$ |
$7$ |
simple |
3.3.ae_i_am |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 - x + 2 x^{2} - 3 x^{3} + 9 x^{4} )$ |
$2$ |
$1$ |
$0$ |
$8$ |
1.3.ad $\times$ 2.3.ab_c |
3.3.ae_j_ar |
$3$ |
$\F_{3}$ |
$3$ |
$1 - 4 x + 9 x^{2} - 17 x^{3} + 27 x^{4} - 36 x^{5} + 27 x^{6}$ |
$3$ |
$0$ |
$0$ |
$7$ |
simple |
3.3.ae_j_aq |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 2 x + 3 x^{2} )( 1 - 2 x + 2 x^{2} - 6 x^{3} + 9 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$8$ |
1.3.ac $\times$ 2.3.ac_c |
3.3.ae_j_ap |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 - x + 3 x^{2} - 3 x^{3} + 9 x^{4} )$ |
$1$ |
$2$ |
$0$ |
$9$ |
1.3.ad $\times$ 2.3.ab_d |
3.3.ae_k_av |
$3$ |
$\F_{3}$ |
$3$ |
$1 - 4 x + 10 x^{2} - 21 x^{3} + 30 x^{4} - 36 x^{5} + 27 x^{6}$ |
$2$ |
$1$ |
$0$ |
$7$ |
simple |
3.3.ae_k_au |
$3$ |
$\F_{3}$ |
$3$ |
$1 - 4 x + 10 x^{2} - 20 x^{3} + 30 x^{4} - 36 x^{5} + 27 x^{6}$ |
$3$ |
$0$ |
$0$ |
$8$ |
simple |
3.3.ae_k_at |
$3$ |
$\F_{3}$ |
$3$ |
$1 - 4 x + 10 x^{2} - 19 x^{3} + 30 x^{4} - 36 x^{5} + 27 x^{6}$ |
$3$ |
$0$ |
$0$ |
$9$ |
simple |
3.3.ae_k_as |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 - 2 x + 3 x^{2} )( 1 + x + 3 x^{2} )$ |
$2$ |
$1$ |
$0$ |
$10$ |
1.3.ad $\times$ 1.3.ac $\times$ 1.3.b |
3.3.ae_l_ay |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 + 3 x^{2} )( 1 - 4 x + 8 x^{2} - 12 x^{3} + 9 x^{4} )$ |
$2$ |
$1$ |
$0$ |
$8$ |
1.3.a $\times$ 2.3.ae_i |
3.3.ae_l_ax |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - x + 3 x^{2} )( 1 - 3 x + 5 x^{2} - 9 x^{3} + 9 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$9$ |
1.3.ab $\times$ 2.3.ad_f |
3.3.ae_l_aw |
$3$ |
$\F_{3}$ |
$3$ |
$1 - 4 x + 11 x^{2} - 22 x^{3} + 33 x^{4} - 36 x^{5} + 27 x^{6}$ |
$3$ |
$0$ |
$0$ |
$10$ |
simple |
3.3.ae_l_av |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 - x + 5 x^{2} - 3 x^{3} + 9 x^{4} )$ |
$2$ |
$1$ |
$0$ |
$11$ |
1.3.ad $\times$ 2.3.ab_f |
3.3.ae_l_au |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 2 x + 3 x^{2} )( 1 - 2 x + 4 x^{2} - 6 x^{3} + 9 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$12$ |
1.3.ac $\times$ 2.3.ac_e |
3.3.ae_m_ay |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 - x + 3 x^{2} )( 1 + 3 x^{2} )$ |
$1$ |
$2$ |
$0$ |
$12$ |
1.3.ad $\times$ 1.3.ab $\times$ 1.3.a |
3.3.ae_m_ax |
$3$ |
$\F_{3}$ |
$3$ |
$1 - 4 x + 12 x^{2} - 23 x^{3} + 36 x^{4} - 36 x^{5} + 27 x^{6}$ |
$3$ |
$0$ |
$0$ |
$13$ |
simple |
3.3.ae_m_aw |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - 2 x + 3 x^{2} )( 1 - 2 x + 5 x^{2} - 6 x^{3} + 9 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$14$ |
1.3.ac $\times$ 2.3.ac_f |
3.3.ae_n_az |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 - x + 3 x^{2} )( 1 - 3 x + 7 x^{2} - 9 x^{3} + 9 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$15$ |
1.3.ab $\times$ 2.3.ad_h |
3.3.ae_n_ay |
$3$ |
$\F_{3}$ |
$3$ |
$( 1 + 3 x^{2} )( 1 - 2 x + 3 x^{2} )^{2}$ |
$2$ |
$1$ |
$0$ |
$16$ |
1.3.ac 2 $\times$ 1.3.a |