| Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
| 3.7.ai_ba_ack |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 + 2 x + 7 x^{2} )( 1 - 5 x + 7 x^{2} )^{2}$ |
$3$ |
$0$ |
$0$ |
$90$ |
1.7.af 2 $\times$ 1.7.c |
| 3.7.ai_bc_acu |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 3 x + 6 x^{2} - 21 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$96$ |
1.7.af $\times$ 2.7.ad_g |
| 3.7.ai_bd_ada |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 8 x + 29 x^{2} - 78 x^{3} + 203 x^{4} - 392 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$0$ |
$98$ |
simple |
| 3.7.ai_bf_adk |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 4 x + 7 x^{2} )( 1 - 4 x + 8 x^{2} - 28 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$104$ |
1.7.ae $\times$ 2.7.ae_i |
| 3.7.ai_bf_adj |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 3 x + 9 x^{2} - 21 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$105$ |
1.7.af $\times$ 2.7.ad_j |
| 3.7.ai_bg_ado |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 4 x + 7 x^{2} )( 1 + x + 7 x^{2} )$ |
$3$ |
$0$ |
$0$ |
$108$ |
1.7.af $\times$ 1.7.ae $\times$ 1.7.b |
| 3.7.ai_bh_adu |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 8 x + 33 x^{2} - 98 x^{3} + 231 x^{4} - 392 x^{5} + 343 x^{6}$ |
$2$ |
$1$ |
$0$ |
$110$ |
simple |
| 3.7.ai_bh_ads |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 4 x + 7 x^{2} )( 1 - 4 x + 10 x^{2} - 28 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$112$ |
1.7.ae $\times$ 2.7.ae_k |
| 3.7.ai_bi_aea |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 8 x + 34 x^{2} - 104 x^{3} + 238 x^{4} - 392 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$0$ |
$112$ |
simple |
| 3.7.ai_bi_ady |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 3 x + 12 x^{2} - 21 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$114$ |
1.7.af $\times$ 2.7.ad_m |
| 3.7.ai_bj_aef |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 3 x + 7 x^{2} )( 1 - 5 x + 13 x^{2} - 35 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$115$ |
1.7.ad $\times$ 2.7.af_n |
| 3.7.ai_bj_aed |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 3 x + 13 x^{2} - 21 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$117$ |
1.7.af $\times$ 2.7.ad_n |
| 3.7.ai_bj_aec |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 8 x + 35 x^{2} - 106 x^{3} + 245 x^{4} - 392 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$0$ |
$118$ |
simple |
| 3.7.ai_bj_aeb |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 8 x + 35 x^{2} - 105 x^{3} + 245 x^{4} - 392 x^{5} + 343 x^{6}$ |
$1$ |
$2$ |
$0$ |
$119$ |
simple |
| 3.7.ai_bj_aea |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 4 x + 7 x^{2} )( 1 - 4 x + 12 x^{2} - 28 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$120$ |
1.7.ae $\times$ 2.7.ae_m |
| 3.7.ai_bk_aei |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 3 x + 7 x^{2} )( 1 + 7 x^{2} )$ |
$2$ |
$1$ |
$0$ |
$120$ |
1.7.af $\times$ 1.7.ad $\times$ 1.7.a |
| 3.7.ai_bl_aeq |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 2 x + 7 x^{2} )( 1 - 6 x + 18 x^{2} - 42 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$120$ |
1.7.ac $\times$ 2.7.ag_s |
| 3.7.ai_bl_aep |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 8 x + 37 x^{2} - 119 x^{3} + 259 x^{4} - 392 x^{5} + 343 x^{6}$ |
$2$ |
$1$ |
$0$ |
$121$ |
simple |
| 3.7.ai_bl_aeo |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 8 x + 37 x^{2} - 118 x^{3} + 259 x^{4} - 392 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$0$ |
$122$ |
simple |
| 3.7.ai_bl_aen |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 3 x + 15 x^{2} - 21 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$123$ |
1.7.af $\times$ 2.7.ad_p |
| 3.7.ai_bl_aem |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 8 x + 37 x^{2} - 116 x^{3} + 259 x^{4} - 392 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$0$ |
$124$ |
simple |
| 3.7.ai_bl_ael |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 3 x + 7 x^{2} )( 1 - 5 x + 15 x^{2} - 35 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$125$ |
1.7.ad $\times$ 2.7.af_p |
| 3.7.ai_bl_aek |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 8 x + 37 x^{2} - 114 x^{3} + 259 x^{4} - 392 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$0$ |
$126$ |
simple |
| 3.7.ai_bl_aej |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 8 x + 37 x^{2} - 113 x^{3} + 259 x^{4} - 392 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$0$ |
$127$ |
simple |
| 3.7.ai_bl_aei |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 + 7 x^{2} )( 1 - 4 x + 7 x^{2} )^{2}$ |
$2$ |
$1$ |
$0$ |
$128$ |
1.7.ae 2 $\times$ 1.7.a |
| 3.7.ai_bm_aes |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 2 x + 7 x^{2} )( 1 - x + 7 x^{2} )$ |
$3$ |
$0$ |
$0$ |
$126$ |
1.7.af $\times$ 1.7.ac $\times$ 1.7.ab |
| 3.7.ai_bm_aeq |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 8 x + 38 x^{2} - 120 x^{3} + 266 x^{4} - 392 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$0$ |
$128$ |
simple |
| 3.7.ai_bm_aeo |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 3 x + 7 x^{2} )( 1 - 5 x + 16 x^{2} - 35 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$130$ |
1.7.ad $\times$ 2.7.af_q |
| 3.7.ai_bn_aeu |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 2 x + 7 x^{2} )( 1 - 6 x + 20 x^{2} - 42 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$132$ |
1.7.ac $\times$ 2.7.ag_u |
| 3.7.ai_bn_aeq |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 4 x + 7 x^{2} )( 1 - 4 x + 16 x^{2} - 28 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$136$ |
1.7.ae $\times$ 2.7.ae_q |
| 3.7.ai_bo_aeu |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 4 x + 7 x^{2} )( 1 - 3 x + 7 x^{2} )( 1 - x + 7 x^{2} )$ |
$3$ |
$0$ |
$0$ |
$140$ |
1.7.ae $\times$ 1.7.ad $\times$ 1.7.ab |
| 3.7.ai_bp_aey |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 4 x + 7 x^{2} )( 1 - 2 x + 7 x^{2} )^{2}$ |
$3$ |
$0$ |
$0$ |
$144$ |
1.7.ae $\times$ 1.7.ac 2 |
| 3.7.ah_s_abi |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 7 x + 18 x^{2} - 34 x^{3} + 126 x^{4} - 343 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$1$ |
$104$ |
simple |
| 3.7.ah_t_abn |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 7 x + 19 x^{2} - 39 x^{3} + 133 x^{4} - 343 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$1$ |
$107$ |
simple |
| 3.7.ah_v_abx |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 7 x + 21 x^{2} - 49 x^{3} + 147 x^{4} - 343 x^{5} + 343 x^{6}$ |
$0$ |
$3$ |
$1$ |
$113$ |
simple |
| 3.7.ah_v_abw |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 2 x + 4 x^{2} - 14 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$1$ |
$114$ |
1.7.af $\times$ 2.7.ac_e |
| 3.7.ah_w_aca |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 7 x + 22 x^{2} - 52 x^{3} + 154 x^{4} - 343 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$1$ |
$118$ |
simple |
| 3.7.ah_x_aci |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 7 x + 23 x^{2} - 60 x^{3} + 161 x^{4} - 343 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$1$ |
$118$ |
simple |
| 3.7.ah_x_ach |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 7 x + 23 x^{2} - 59 x^{3} + 161 x^{4} - 343 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$1$ |
$119$ |
simple |
| 3.7.ah_x_acg |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 4 x + 7 x^{2} )( 1 + 2 x + 7 x^{2} )$ |
$3$ |
$0$ |
$1$ |
$120$ |
1.7.af $\times$ 1.7.ae $\times$ 1.7.c |
| 3.7.ah_x_acf |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 7 x + 23 x^{2} - 57 x^{3} + 161 x^{4} - 343 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$1$ |
$121$ |
simple |
| 3.7.ah_y_acm |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 7 x + 24 x^{2} - 64 x^{3} + 168 x^{4} - 343 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$1$ |
$122$ |
simple |
| 3.7.ah_y_ack |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 4 x + 7 x^{2} )( 1 - 3 x + 5 x^{2} - 21 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$1$ |
$124$ |
1.7.ae $\times$ 2.7.ad_f |
| 3.7.ah_z_act |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 7 x + 25 x^{2} - 71 x^{3} + 175 x^{4} - 343 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$1$ |
$123$ |
simple |
| 3.7.ah_z_acs |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 7 x + 25 x^{2} - 70 x^{3} + 175 x^{4} - 343 x^{5} + 343 x^{6}$ |
$2$ |
$1$ |
$1$ |
$124$ |
simple |
| 3.7.ah_z_acr |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 7 x + 25 x^{2} - 69 x^{3} + 175 x^{4} - 343 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$1$ |
$125$ |
simple |
| 3.7.ah_z_acq |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 2 x + 8 x^{2} - 14 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$1$ |
$126$ |
1.7.af $\times$ 2.7.ac_i |
| 3.7.ah_z_acp |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 7 x + 25 x^{2} - 67 x^{3} + 175 x^{4} - 343 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$1$ |
$127$ |
simple |
| 3.7.ah_z_aco |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 4 x + 7 x^{2} )( 1 - 3 x + 6 x^{2} - 21 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$1$ |
$128$ |
1.7.ae $\times$ 2.7.ad_g |
| 3.7.ah_ba_acy |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 7 x + 26 x^{2} - 76 x^{3} + 182 x^{4} - 343 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$1$ |
$126$ |
simple |
