Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
3.5.am_cl_ahc |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )^{3}$ |
$3$ |
$0$ |
$-6$ |
$8$ |
1.5.ae 3 |
3.5.al_cd_agc |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 3 x + 5 x^{2} )( 1 - 4 x + 5 x^{2} )^{2}$ |
$3$ |
$0$ |
$-5$ |
$12$ |
1.5.ae 2 $\times$ 1.5.ad |
3.5.ak_bu_aey |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )( 1 - 6 x + 17 x^{2} - 30 x^{3} + 25 x^{4} )$ |
$3$ |
$0$ |
$-4$ |
$14$ |
1.5.ae $\times$ 2.5.ag_r |
3.5.ak_bv_afc |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 2 x + 5 x^{2} )( 1 - 4 x + 5 x^{2} )^{2}$ |
$3$ |
$0$ |
$-4$ |
$16$ |
1.5.ae 2 $\times$ 1.5.ac |
3.5.ak_bw_afg |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )( 1 - 3 x + 5 x^{2} )^{2}$ |
$3$ |
$0$ |
$-4$ |
$18$ |
1.5.ae $\times$ 1.5.ad 2 |
3.5.aj_bm_ady |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )( 1 - 5 x + 13 x^{2} - 25 x^{3} + 25 x^{4} )$ |
$3$ |
$0$ |
$-3$ |
$18$ |
1.5.ae $\times$ 2.5.af_n |
3.5.aj_bn_aec |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - x + 5 x^{2} )( 1 - 4 x + 5 x^{2} )^{2}$ |
$3$ |
$0$ |
$-3$ |
$20$ |
1.5.ae 2 $\times$ 1.5.ab |
3.5.aj_bo_aeh |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 3 x + 5 x^{2} )( 1 - 6 x + 17 x^{2} - 30 x^{3} + 25 x^{4} )$ |
$3$ |
$0$ |
$-3$ |
$21$ |
1.5.ad $\times$ 2.5.ag_r |
3.5.aj_bo_aeg |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )( 1 - 5 x + 15 x^{2} - 25 x^{3} + 25 x^{4} )$ |
$1$ |
$2$ |
$-3$ |
$22$ |
1.5.ae $\times$ 2.5.af_p |
3.5.aj_bp_aek |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )( 1 - 3 x + 5 x^{2} )( 1 - 2 x + 5 x^{2} )$ |
$3$ |
$0$ |
$-3$ |
$24$ |
1.5.ae $\times$ 1.5.ad $\times$ 1.5.ac |
3.5.aj_bq_aen |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 3 x + 5 x^{2} )^{3}$ |
$3$ |
$0$ |
$-3$ |
$27$ |
1.5.ad 3 |
3.5.ai_bd_acu |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )( 1 - 4 x + 8 x^{2} - 20 x^{3} + 25 x^{4} )$ |
$3$ |
$0$ |
$-2$ |
$20$ |
1.5.ae $\times$ 2.5.ae_i |
3.5.ai_be_acy |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )( 1 - 4 x + 9 x^{2} - 20 x^{3} + 25 x^{4} )$ |
$3$ |
$0$ |
$-2$ |
$22$ |
1.5.ae $\times$ 2.5.ae_j |
3.5.ai_bf_adc |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 + 5 x^{2} )( 1 - 4 x + 5 x^{2} )^{2}$ |
$2$ |
$1$ |
$-2$ |
$24$ |
1.5.ae 2 $\times$ 1.5.a |
3.5.ai_bg_adh |
$3$ |
$\F_{5}$ |
$5$ |
$1 - 8 x + 32 x^{2} - 85 x^{3} + 160 x^{4} - 200 x^{5} + 125 x^{6}$ |
$2$ |
$1$ |
$-2$ |
$25$ |
simple |
3.5.ai_bg_adg |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )( 1 - 4 x + 11 x^{2} - 20 x^{3} + 25 x^{4} )$ |
$3$ |
$0$ |
$-2$ |
$26$ |
1.5.ae $\times$ 2.5.ae_l |
3.5.ai_bh_adl |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 3 x + 5 x^{2} )( 1 - 5 x + 13 x^{2} - 25 x^{3} + 25 x^{4} )$ |
$3$ |
$0$ |
$-2$ |
$27$ |
1.5.ad $\times$ 2.5.af_n |
3.5.ai_bh_adk |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )( 1 - 4 x + 12 x^{2} - 20 x^{3} + 25 x^{4} )$ |
$3$ |
$0$ |
$-2$ |
$28$ |
1.5.ae $\times$ 2.5.ae_m |
3.5.ai_bi_adq |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 2 x + 5 x^{2} )( 1 - 6 x + 17 x^{2} - 30 x^{3} + 25 x^{4} )$ |
$3$ |
$0$ |
$-2$ |
$28$ |
1.5.ac $\times$ 2.5.ag_r |
3.5.ai_bi_adp |
$3$ |
$\F_{5}$ |
$5$ |
$1 - 8 x + 34 x^{2} - 93 x^{3} + 170 x^{4} - 200 x^{5} + 125 x^{6}$ |
$3$ |
$0$ |
$-2$ |
$29$ |
simple |
3.5.ai_bi_ado |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )( 1 - 3 x + 5 x^{2} )( 1 - x + 5 x^{2} )$ |
$3$ |
$0$ |
$-2$ |
$30$ |
1.5.ae $\times$ 1.5.ad $\times$ 1.5.ab |
3.5.ai_bj_ads |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )( 1 - 2 x + 5 x^{2} )^{2}$ |
$3$ |
$0$ |
$-2$ |
$32$ |
1.5.ae $\times$ 1.5.ac 2 |
3.5.ai_bj_adr |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 3 x + 5 x^{2} )( 1 - 5 x + 15 x^{2} - 25 x^{3} + 25 x^{4} )$ |
$1$ |
$2$ |
$-2$ |
$33$ |
1.5.ad $\times$ 2.5.af_p |
3.5.ai_bk_adu |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 2 x + 5 x^{2} )( 1 - 3 x + 5 x^{2} )^{2}$ |
$3$ |
$0$ |
$-2$ |
$36$ |
1.5.ad 2 $\times$ 1.5.ac |
3.5.ah_v_abu |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )( 1 - 3 x + 4 x^{2} - 15 x^{3} + 25 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$24$ |
1.5.ae $\times$ 2.5.ad_e |
3.5.ah_w_aby |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )( 1 - 3 x + 5 x^{2} - 15 x^{3} + 25 x^{4} )$ |
$2$ |
$1$ |
$-1$ |
$26$ |
1.5.ae $\times$ 2.5.ad_f |
3.5.ah_x_acd |
$3$ |
$\F_{5}$ |
$5$ |
$1 - 7 x + 23 x^{2} - 55 x^{3} + 115 x^{4} - 175 x^{5} + 125 x^{6}$ |
$2$ |
$1$ |
$-1$ |
$27$ |
simple |
3.5.ah_x_acc |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 + x + 5 x^{2} )( 1 - 4 x + 5 x^{2} )^{2}$ |
$3$ |
$0$ |
$-1$ |
$28$ |
1.5.ae 2 $\times$ 1.5.b |
3.5.ah_y_ach |
$3$ |
$\F_{5}$ |
$5$ |
$1 - 7 x + 24 x^{2} - 59 x^{3} + 120 x^{4} - 175 x^{5} + 125 x^{6}$ |
$3$ |
$0$ |
$-1$ |
$29$ |
simple |
3.5.ah_y_acg |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )( 1 - 3 x + 7 x^{2} - 15 x^{3} + 25 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$30$ |
1.5.ae $\times$ 2.5.ad_h |
3.5.ah_z_acm |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 3 x + 5 x^{2} )( 1 - 4 x + 8 x^{2} - 20 x^{3} + 25 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$30$ |
1.5.ad $\times$ 2.5.ae_i |
3.5.ah_z_acl |
$3$ |
$\F_{5}$ |
$5$ |
$1 - 7 x + 25 x^{2} - 63 x^{3} + 125 x^{4} - 175 x^{5} + 125 x^{6}$ |
$3$ |
$0$ |
$-1$ |
$31$ |
simple |
3.5.ah_z_ack |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )( 1 - 3 x + 8 x^{2} - 15 x^{3} + 25 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$32$ |
1.5.ae $\times$ 2.5.ad_i |
3.5.ah_ba_acq |
$3$ |
$\F_{5}$ |
$5$ |
$1 - 7 x + 26 x^{2} - 68 x^{3} + 130 x^{4} - 175 x^{5} + 125 x^{6}$ |
$3$ |
$0$ |
$-1$ |
$32$ |
simple |
3.5.ah_ba_acp |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 3 x + 5 x^{2} )( 1 - 4 x + 9 x^{2} - 20 x^{3} + 25 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$33$ |
1.5.ad $\times$ 2.5.ae_j |
3.5.ah_ba_aco |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )( 1 - 3 x + 9 x^{2} - 15 x^{3} + 25 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$34$ |
1.5.ae $\times$ 2.5.ad_j |
3.5.ah_bb_acv |
$3$ |
$\F_{5}$ |
$5$ |
$1 - 7 x + 27 x^{2} - 73 x^{3} + 135 x^{4} - 175 x^{5} + 125 x^{6}$ |
$3$ |
$0$ |
$-1$ |
$33$ |
simple |
3.5.ah_bb_acu |
$3$ |
$\F_{5}$ |
$5$ |
$1 - 7 x + 27 x^{2} - 72 x^{3} + 135 x^{4} - 175 x^{5} + 125 x^{6}$ |
$3$ |
$0$ |
$-1$ |
$34$ |
simple |
3.5.ah_bb_act |
$3$ |
$\F_{5}$ |
$5$ |
$1 - 7 x + 27 x^{2} - 71 x^{3} + 135 x^{4} - 175 x^{5} + 125 x^{6}$ |
$3$ |
$0$ |
$-1$ |
$35$ |
simple |
3.5.ah_bb_acs |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )( 1 - 3 x + 5 x^{2} )( 1 + 5 x^{2} )$ |
$2$ |
$1$ |
$-1$ |
$36$ |
1.5.ae $\times$ 1.5.ad $\times$ 1.5.a |
3.5.ah_bc_acz |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - x + 5 x^{2} )( 1 - 6 x + 17 x^{2} - 30 x^{3} + 25 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$35$ |
1.5.ab $\times$ 2.5.ag_r |
3.5.ah_bc_acy |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 2 x + 5 x^{2} )( 1 - 5 x + 13 x^{2} - 25 x^{3} + 25 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$36$ |
1.5.ac $\times$ 2.5.af_n |
3.5.ah_bc_acx |
$3$ |
$\F_{5}$ |
$5$ |
$1 - 7 x + 28 x^{2} - 75 x^{3} + 140 x^{4} - 175 x^{5} + 125 x^{6}$ |
$2$ |
$1$ |
$-1$ |
$37$ |
simple |
3.5.ah_bc_acw |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )( 1 - 3 x + 11 x^{2} - 15 x^{3} + 25 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$38$ |
1.5.ae $\times$ 2.5.ad_l |
3.5.ah_bc_acv |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 3 x + 5 x^{2} )( 1 - 4 x + 11 x^{2} - 20 x^{3} + 25 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$39$ |
1.5.ad $\times$ 2.5.ae_l |
3.5.ah_bd_ada |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )( 1 - 2 x + 5 x^{2} )( 1 - x + 5 x^{2} )$ |
$3$ |
$0$ |
$-1$ |
$40$ |
1.5.ae $\times$ 1.5.ac $\times$ 1.5.ab |
3.5.ah_bd_acz |
$3$ |
$\F_{5}$ |
$5$ |
$1 - 7 x + 29 x^{2} - 77 x^{3} + 145 x^{4} - 175 x^{5} + 125 x^{6}$ |
$3$ |
$0$ |
$-1$ |
$41$ |
simple |
3.5.ah_bd_acy |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 3 x + 5 x^{2} )( 1 - 4 x + 12 x^{2} - 20 x^{3} + 25 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$42$ |
1.5.ad $\times$ 2.5.ae_m |
3.5.ah_be_adc |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - 2 x + 5 x^{2} )( 1 - 5 x + 15 x^{2} - 25 x^{3} + 25 x^{4} )$ |
$1$ |
$2$ |
$-1$ |
$44$ |
1.5.ac $\times$ 2.5.af_p |
3.5.ah_be_adb |
$3$ |
$\F_{5}$ |
$5$ |
$( 1 - x + 5 x^{2} )( 1 - 3 x + 5 x^{2} )^{2}$ |
$3$ |
$0$ |
$-1$ |
$45$ |
1.5.ad 2 $\times$ 1.5.ab |