Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
3.9.ap_dv_aoo |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$( 1 - 3 x )^{4}( 1 - 3 x + 9 x^{2} )$ |
$0$ |
$3$ |
$-5$ |
$112$ |
1.9.ag 2 $\times$ 1.9.ad |
3.9.an_de_alx |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$( 1 - 3 x + 9 x^{2} )( 1 - 5 x + 9 x^{2} )^{2}$ |
$2$ |
$1$ |
$-3$ |
$175$ |
1.9.af 2 $\times$ 1.9.ad |
3.9.al_cp_ajm |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$( 1 - 3 x + 9 x^{2} )( 1 - 4 x + 9 x^{2} )^{2}$ |
$2$ |
$1$ |
$-1$ |
$252$ |
1.9.ae 2 $\times$ 1.9.ad |
3.9.ak_bn_aee |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$( 1 - 3 x )^{4}( 1 + 2 x + 9 x^{2} )$ |
$1$ |
$2$ |
$0$ |
$192$ |
1.9.ag 2 $\times$ 1.9.c |
3.9.aj_bw_agq |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 9 x + 48 x^{2} - 172 x^{3} + 432 x^{4} - 729 x^{5} + 729 x^{6}$ |
$3$ |
$0$ |
$1$ |
$300$ |
simple |
3.9.aj_cc_ahh |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$( 1 - 3 x + 9 x^{2} )^{3}$ |
$0$ |
$3$ |
$1$ |
$343$ |
1.9.ad 3 |
3.9.ai_bc_acx |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 8 x + 28 x^{2} - 75 x^{3} + 252 x^{4} - 648 x^{5} + 729 x^{6}$ |
$2$ |
$1$ |
$2$ |
$279$ |
simple |
3.9.ai_bg_adq |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$( 1 + 2 x + 9 x^{2} )( 1 - 5 x + 9 x^{2} )^{2}$ |
$3$ |
$0$ |
$2$ |
$300$ |
1.9.af 2 $\times$ 1.9.c |
3.9.ai_bk_ael |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 8 x + 36 x^{2} - 115 x^{3} + 324 x^{4} - 648 x^{5} + 729 x^{6}$ |
$3$ |
$0$ |
$2$ |
$319$ |
simple |
3.9.ai_bo_afi |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$( 1 - 3 x + 9 x^{2} )( 1 - 5 x + 16 x^{2} - 45 x^{3} + 81 x^{4} )$ |
$2$ |
$1$ |
$2$ |
$336$ |
1.9.ad $\times$ 2.9.af_q |
3.9.ah_d_cc |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$( 1 - 3 x )^{4}( 1 + 5 x + 9 x^{2} )$ |
$1$ |
$2$ |
$3$ |
$240$ |
1.9.ag 2 $\times$ 1.9.f |
3.9.ah_bl_aex |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 7 x + 37 x^{2} - 127 x^{3} + 333 x^{4} - 567 x^{5} + 729 x^{6}$ |
$3$ |
$0$ |
$3$ |
$399$ |
simple |
3.9.ah_br_afi |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$( 1 - 3 x + 9 x^{2} )( 1 - 2 x + 9 x^{2} )^{2}$ |
$2$ |
$1$ |
$3$ |
$448$ |
1.9.ad $\times$ 1.9.ac 2 |
3.9.ag_aj_ee |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$( 1 + 3 x )^{2}( 1 - 3 x )^{4}$ |
$0$ |
$3$ |
$4$ |
$256$ |
1.9.ag 2 $\times$ 1.9.g |
3.9.ag_t_abw |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 6 x + 19 x^{2} - 48 x^{3} + 171 x^{4} - 486 x^{5} + 729 x^{6}$ |
$2$ |
$1$ |
$4$ |
$380$ |
simple |
3.9.ag_x_acj |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 6 x + 23 x^{2} - 61 x^{3} + 207 x^{4} - 486 x^{5} + 729 x^{6}$ |
$3$ |
$0$ |
$4$ |
$407$ |
simple |
3.9.ag_bb_acy |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$( 1 + 2 x + 9 x^{2} )( 1 - 4 x + 9 x^{2} )^{2}$ |
$3$ |
$0$ |
$4$ |
$432$ |
1.9.ae 2 $\times$ 1.9.c |
3.9.ag_bf_adp |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$( 1 - 3 x + 9 x^{2} )( 1 - 3 x + 13 x^{2} - 27 x^{3} + 81 x^{4} )$ |
$2$ |
$1$ |
$4$ |
$455$ |
1.9.ad $\times$ 2.9.ad_n |
3.9.af_ac_bz |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 5 x - 2 x^{2} + 51 x^{3} - 18 x^{4} - 405 x^{5} + 729 x^{6}$ |
$2$ |
$1$ |
$5$ |
$351$ |
simple |
3.9.af_a_bs |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 5 x + 44 x^{3} - 405 x^{5} + 729 x^{6}$ |
$3$ |
$0$ |
$5$ |
$364$ |
simple |
3.9.af_c_bj |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$( 1 + 5 x + 9 x^{2} )( 1 - 5 x + 9 x^{2} )^{2}$ |
$3$ |
$0$ |
$5$ |
$375$ |
1.9.af 2 $\times$ 1.9.f |
3.9.af_e_y |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 5 x + 4 x^{2} + 24 x^{3} + 36 x^{4} - 405 x^{5} + 729 x^{6}$ |
$2$ |
$1$ |
$5$ |
$384$ |
simple |
3.9.af_g_l |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 5 x + 6 x^{2} + 11 x^{3} + 54 x^{4} - 405 x^{5} + 729 x^{6}$ |
$3$ |
$0$ |
$5$ |
$391$ |
simple |
3.9.af_i_ae |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 5 x + 8 x^{2} - 4 x^{3} + 72 x^{4} - 405 x^{5} + 729 x^{6}$ |
$3$ |
$0$ |
$5$ |
$396$ |
simple |
3.9.af_k_av |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$( 1 - 3 x + 9 x^{2} )( 1 - 2 x - 5 x^{2} - 18 x^{3} + 81 x^{4} )$ |
$2$ |
$1$ |
$5$ |
$399$ |
1.9.ad $\times$ 2.9.ac_af |
3.9.af_w_adh |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 5 x + 22 x^{2} - 85 x^{3} + 198 x^{4} - 405 x^{5} + 729 x^{6}$ |
$3$ |
$0$ |
$5$ |
$455$ |
simple |
3.9.af_bc_adk |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 5 x + 28 x^{2} - 88 x^{3} + 252 x^{4} - 405 x^{5} + 729 x^{6}$ |
$3$ |
$0$ |
$5$ |
$512$ |
simple |
3.9.af_bi_adp |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$( 1 - 3 x + 9 x^{2} )( 1 - x + 9 x^{2} )^{2}$ |
$2$ |
$1$ |
$5$ |
$567$ |
1.9.ad $\times$ 1.9.ab 2 |
3.9.ae_ai_cr |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 4 x - 8 x^{2} + 69 x^{3} - 72 x^{4} - 324 x^{5} + 729 x^{6}$ |
$2$ |
$1$ |
$6$ |
$391$ |
simple |
3.9.ae_ai_cw |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 4 x - 8 x^{2} + 74 x^{3} - 72 x^{4} - 324 x^{5} + 729 x^{6}$ |
$3$ |
$0$ |
$6$ |
$396$ |
simple |
3.9.ae_ai_cz |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 4 x - 8 x^{2} + 77 x^{3} - 72 x^{4} - 324 x^{5} + 729 x^{6}$ |
$3$ |
$0$ |
$6$ |
$399$ |
simple |
3.9.ae_ai_da |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$( 1 + 3 x )^{2}( 1 - 5 x + 9 x^{2} )^{2}$ |
$2$ |
$1$ |
$6$ |
$400$ |
1.9.af 2 $\times$ 1.9.g |
3.9.ae_i_aw |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 4 x + 8 x^{2} - 22 x^{3} + 72 x^{4} - 324 x^{5} + 729 x^{6}$ |
$3$ |
$0$ |
$6$ |
$460$ |
simple |
3.9.ae_m_abb |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 4 x + 12 x^{2} - 27 x^{3} + 108 x^{4} - 324 x^{5} + 729 x^{6}$ |
$1$ |
$2$ |
$6$ |
$495$ |
simple |
3.9.ae_q_acp |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 4 x + 16 x^{2} - 67 x^{3} + 144 x^{4} - 324 x^{5} + 729 x^{6}$ |
$3$ |
$0$ |
$6$ |
$495$ |
simple |
3.9.ae_q_abi |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 4 x + 16 x^{2} - 34 x^{3} + 144 x^{4} - 324 x^{5} + 729 x^{6}$ |
$3$ |
$0$ |
$6$ |
$528$ |
simple |
3.9.ae_u_abr |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 4 x + 20 x^{2} - 43 x^{3} + 180 x^{4} - 324 x^{5} + 729 x^{6}$ |
$3$ |
$0$ |
$6$ |
$559$ |
simple |
3.9.ae_y_acc |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$( 1 + 2 x + 9 x^{2} )( 1 - 3 x + 9 x^{2} )^{2}$ |
$1$ |
$2$ |
$6$ |
$588$ |
1.9.ad 2 $\times$ 1.9.c |
3.9.ae_bc_acp |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 4 x + 28 x^{2} - 67 x^{3} + 252 x^{4} - 324 x^{5} + 729 x^{6}$ |
$3$ |
$0$ |
$6$ |
$615$ |
simple |
3.9.ad_af_bq |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$( 1 - 3 x + 9 x^{2} )( 1 - 14 x^{2} + 81 x^{4} )$ |
$2$ |
$1$ |
$7$ |
$476$ |
1.9.ad $\times$ 2.9.a_ao |
3.9.ad_ad_bp |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 3 x - 3 x^{2} + 41 x^{3} - 27 x^{4} - 243 x^{5} + 729 x^{6}$ |
$3$ |
$0$ |
$7$ |
$495$ |
simple |
3.9.ad_ab_bm |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 3 x - x^{2} + 38 x^{3} - 9 x^{4} - 243 x^{5} + 729 x^{6}$ |
$3$ |
$0$ |
$7$ |
$512$ |
simple |
3.9.ad_b_bh |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 3 x + x^{2} + 33 x^{3} + 9 x^{4} - 243 x^{5} + 729 x^{6}$ |
$2$ |
$1$ |
$7$ |
$527$ |
simple |
3.9.ad_d_ba |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$( 1 + 5 x + 9 x^{2} )( 1 - 4 x + 9 x^{2} )^{2}$ |
$3$ |
$0$ |
$7$ |
$540$ |
1.9.ae 2 $\times$ 1.9.f |
3.9.ad_f_r |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 3 x + 5 x^{2} + 17 x^{3} + 45 x^{4} - 243 x^{5} + 729 x^{6}$ |
$3$ |
$0$ |
$7$ |
$551$ |
simple |
3.9.ad_h_g |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$( 1 - 3 x + 9 x^{2} )( 1 - 2 x^{2} + 81 x^{4} )$ |
$2$ |
$1$ |
$7$ |
$560$ |
1.9.ad $\times$ 2.9.a_ac |
3.9.ad_j_ah |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 3 x + 9 x^{2} - 7 x^{3} + 81 x^{4} - 243 x^{5} + 729 x^{6}$ |
$3$ |
$0$ |
$7$ |
$567$ |
simple |
3.9.ad_l_aw |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 3 x + 11 x^{2} - 22 x^{3} + 99 x^{4} - 243 x^{5} + 729 x^{6}$ |
$3$ |
$0$ |
$7$ |
$572$ |
simple |
3.9.ad_n_abn |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 3 x + 13 x^{2} - 39 x^{3} + 117 x^{4} - 243 x^{5} + 729 x^{6}$ |
$2$ |
$1$ |
$7$ |
$575$ |
simple |
3.9.ad_p_acg |
$3$ |
$\F_{3^{2}}$ |
$3$ |
$( 1 + 2 x + 9 x^{2} )( 1 - 5 x + 16 x^{2} - 45 x^{3} + 81 x^{4} )$ |
$3$ |
$0$ |
$7$ |
$576$ |
1.9.c $\times$ 2.9.af_q |