Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
3.13.ao_dk_aoa |
$3$ |
$\F_{13}$ |
$13$ |
$( 1 + 13 x^{2} )( 1 - 7 x + 13 x^{2} )^{2}$ |
$2$ |
$1$ |
$0$ |
$686$ |
1.13.ah 2 $\times$ 1.13.a |
3.13.ao_dm_aoo |
$3$ |
$\F_{13}$ |
$13$ |
$( 1 - 7 x + 13 x^{2} )( 1 - 7 x + 28 x^{2} - 91 x^{3} + 169 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$700$ |
1.13.ah $\times$ 2.13.ah_bc |
3.13.ao_dn_aov |
$3$ |
$\F_{13}$ |
$13$ |
$( 1 - 7 x + 13 x^{2} )( 1 - 7 x + 29 x^{2} - 91 x^{3} + 169 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$707$ |
1.13.ah $\times$ 2.13.ah_bd |
3.13.ao_do_apd |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 14 x + 92 x^{2} - 393 x^{3} + 1196 x^{4} - 2366 x^{5} + 2197 x^{6}$ |
$3$ |
$0$ |
$0$ |
$713$ |
simple |
3.13.ao_dp_apj |
$3$ |
$\F_{13}$ |
$13$ |
$( 1 - 7 x + 13 x^{2} )( 1 - 7 x + 31 x^{2} - 91 x^{3} + 169 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$721$ |
1.13.ah $\times$ 2.13.ah_bf |
3.13.ao_dq_apr |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 14 x + 94 x^{2} - 407 x^{3} + 1222 x^{4} - 2366 x^{5} + 2197 x^{6}$ |
$3$ |
$0$ |
$0$ |
$727$ |
simple |
3.13.ao_dq_app |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 14 x + 94 x^{2} - 405 x^{3} + 1222 x^{4} - 2366 x^{5} + 2197 x^{6}$ |
$3$ |
$0$ |
$0$ |
$729$ |
simple |
3.13.ao_dr_apy |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 14 x + 95 x^{2} - 414 x^{3} + 1235 x^{4} - 2366 x^{5} + 2197 x^{6}$ |
$3$ |
$0$ |
$0$ |
$734$ |
simple |
3.13.ao_ds_aqf |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 14 x + 96 x^{2} - 421 x^{3} + 1248 x^{4} - 2366 x^{5} + 2197 x^{6}$ |
$3$ |
$0$ |
$0$ |
$741$ |
simple |
3.13.ao_ds_aqd |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 14 x + 96 x^{2} - 419 x^{3} + 1248 x^{4} - 2366 x^{5} + 2197 x^{6}$ |
$3$ |
$0$ |
$0$ |
$743$ |
simple |
3.13.ao_ds_aqc |
$3$ |
$\F_{13}$ |
$13$ |
$( 1 - 6 x + 13 x^{2} )( 1 - 8 x + 35 x^{2} - 104 x^{3} + 169 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$744$ |
1.13.ag $\times$ 2.13.ai_bj |
3.13.ao_dt_aqn |
$3$ |
$\F_{13}$ |
$13$ |
$( 1 - 5 x + 13 x^{2} )( 1 - 9 x + 39 x^{2} - 117 x^{3} + 169 x^{4} )$ |
$2$ |
$1$ |
$0$ |
$747$ |
1.13.af $\times$ 2.13.aj_bn |
3.13.ao_dt_aql |
$3$ |
$\F_{13}$ |
$13$ |
$( 1 - 7 x + 13 x^{2} )( 1 - 7 x + 35 x^{2} - 91 x^{3} + 169 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$749$ |
1.13.ah $\times$ 2.13.ah_bj |
3.13.ao_dt_aqk |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 14 x + 97 x^{2} - 426 x^{3} + 1261 x^{4} - 2366 x^{5} + 2197 x^{6}$ |
$3$ |
$0$ |
$0$ |
$750$ |
simple |
3.13.ao_dt_aqj |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 14 x + 97 x^{2} - 425 x^{3} + 1261 x^{4} - 2366 x^{5} + 2197 x^{6}$ |
$3$ |
$0$ |
$0$ |
$751$ |
simple |
3.13.ao_du_aqu |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 14 x + 98 x^{2} - 436 x^{3} + 1274 x^{4} - 2366 x^{5} + 2197 x^{6}$ |
$3$ |
$0$ |
$0$ |
$754$ |
simple |
3.13.ao_du_aqt |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 14 x + 98 x^{2} - 435 x^{3} + 1274 x^{4} - 2366 x^{5} + 2197 x^{6}$ |
$3$ |
$0$ |
$0$ |
$755$ |
simple |
3.13.ao_du_aqs |
$3$ |
$\F_{13}$ |
$13$ |
$( 1 - 7 x + 13 x^{2} )( 1 - 5 x + 13 x^{2} )( 1 - 2 x + 13 x^{2} )$ |
$3$ |
$0$ |
$0$ |
$756$ |
1.13.ah $\times$ 1.13.af $\times$ 1.13.ac |
3.13.ao_du_aqr |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 14 x + 98 x^{2} - 433 x^{3} + 1274 x^{4} - 2366 x^{5} + 2197 x^{6}$ |
$3$ |
$0$ |
$0$ |
$757$ |
simple |
3.13.ao_du_aqq |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 14 x + 98 x^{2} - 432 x^{3} + 1274 x^{4} - 2366 x^{5} + 2197 x^{6}$ |
$3$ |
$0$ |
$0$ |
$758$ |
simple |
3.13.ao_du_aqp |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 14 x + 98 x^{2} - 431 x^{3} + 1274 x^{4} - 2366 x^{5} + 2197 x^{6}$ |
$3$ |
$0$ |
$0$ |
$759$ |
simple |
3.13.ao_dv_arb |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 14 x + 99 x^{2} - 443 x^{3} + 1287 x^{4} - 2366 x^{5} + 2197 x^{6}$ |
$3$ |
$0$ |
$0$ |
$761$ |
simple |
3.13.ao_dv_ara |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 14 x + 99 x^{2} - 442 x^{3} + 1287 x^{4} - 2366 x^{5} + 2197 x^{6}$ |
$2$ |
$1$ |
$0$ |
$762$ |
simple |
3.13.ao_dv_aqz |
$3$ |
$\F_{13}$ |
$13$ |
$( 1 - 7 x + 13 x^{2} )( 1 - 7 x + 37 x^{2} - 91 x^{3} + 169 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$763$ |
1.13.ah $\times$ 2.13.ah_bl |
3.13.ao_dv_aqx |
$3$ |
$\F_{13}$ |
$13$ |
$( 1 - 5 x + 13 x^{2} )( 1 - 9 x + 41 x^{2} - 117 x^{3} + 169 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$765$ |
1.13.af $\times$ 2.13.aj_bp |
3.13.ao_dv_aqw |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 14 x + 99 x^{2} - 438 x^{3} + 1287 x^{4} - 2366 x^{5} + 2197 x^{6}$ |
$3$ |
$0$ |
$0$ |
$766$ |
simple |
3.13.ao_dv_aqv |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 14 x + 99 x^{2} - 437 x^{3} + 1287 x^{4} - 2366 x^{5} + 2197 x^{6}$ |
$3$ |
$0$ |
$0$ |
$767$ |
simple |
3.13.ao_dw_arg |
$3$ |
$\F_{13}$ |
$13$ |
$( 1 - 7 x + 13 x^{2} )( 1 - 4 x + 13 x^{2} )( 1 - 3 x + 13 x^{2} )$ |
$3$ |
$0$ |
$0$ |
$770$ |
1.13.ah $\times$ 1.13.ae $\times$ 1.13.ad |
3.13.ao_dw_arf |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 14 x + 100 x^{2} - 447 x^{3} + 1300 x^{4} - 2366 x^{5} + 2197 x^{6}$ |
$3$ |
$0$ |
$0$ |
$771$ |
simple |
3.13.ao_dw_ard |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 14 x + 100 x^{2} - 445 x^{3} + 1300 x^{4} - 2366 x^{5} + 2197 x^{6}$ |
$3$ |
$0$ |
$0$ |
$773$ |
simple |
3.13.ao_dw_arb |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 14 x + 100 x^{2} - 443 x^{3} + 1300 x^{4} - 2366 x^{5} + 2197 x^{6}$ |
$3$ |
$0$ |
$0$ |
$775$ |
simple |
3.13.ao_dx_arj |
$3$ |
$\F_{13}$ |
$13$ |
$( 1 - 3 x + 13 x^{2} )( 1 - 11 x + 55 x^{2} - 143 x^{3} + 169 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$781$ |
1.13.ad $\times$ 2.13.al_cd |
3.13.ao_dx_ari |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 14 x + 101 x^{2} - 450 x^{3} + 1313 x^{4} - 2366 x^{5} + 2197 x^{6}$ |
$3$ |
$0$ |
$0$ |
$782$ |
simple |
3.13.ao_dx_arh |
$3$ |
$\F_{13}$ |
$13$ |
$( 1 - 5 x + 13 x^{2} )( 1 - 9 x + 43 x^{2} - 117 x^{3} + 169 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$783$ |
1.13.af $\times$ 2.13.aj_br |
3.13.ao_dx_arg |
$3$ |
$\F_{13}$ |
$13$ |
$( 1 - 6 x + 13 x^{2} )( 1 - 8 x + 40 x^{2} - 104 x^{3} + 169 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$784$ |
1.13.ag $\times$ 2.13.ai_bo |
3.13.ao_dy_arn |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 14 x + 102 x^{2} - 455 x^{3} + 1326 x^{4} - 2366 x^{5} + 2197 x^{6}$ |
$2$ |
$1$ |
$0$ |
$791$ |
simple |
3.13.an_cw_ald |
$3$ |
$\F_{13}$ |
$13$ |
$( 1 + x + 13 x^{2} )( 1 - 7 x + 13 x^{2} )^{2}$ |
$3$ |
$0$ |
$1$ |
$735$ |
1.13.ah 2 $\times$ 1.13.b |
3.13.an_cy_alr |
$3$ |
$\F_{13}$ |
$13$ |
$( 1 - 7 x + 13 x^{2} )( 1 - 6 x + 21 x^{2} - 78 x^{3} + 169 x^{4} )$ |
$3$ |
$0$ |
$1$ |
$749$ |
1.13.ah $\times$ 2.13.ag_v |
3.13.an_cz_aly |
$3$ |
$\F_{13}$ |
$13$ |
$( 1 - 7 x + 13 x^{2} )( 1 - 6 x + 22 x^{2} - 78 x^{3} + 169 x^{4} )$ |
$3$ |
$0$ |
$1$ |
$756$ |
1.13.ah $\times$ 2.13.ag_w |
3.13.an_da_amg |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 13 x + 78 x^{2} - 318 x^{3} + 1014 x^{4} - 2197 x^{5} + 2197 x^{6}$ |
$3$ |
$0$ |
$1$ |
$762$ |
simple |
3.13.an_da_amf |
$3$ |
$\F_{13}$ |
$13$ |
$( 1 - 7 x + 13 x^{2} )( 1 - 6 x + 23 x^{2} - 78 x^{3} + 169 x^{4} )$ |
$3$ |
$0$ |
$1$ |
$763$ |
1.13.ah $\times$ 2.13.ag_x |
3.13.an_db_amn |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 13 x + 79 x^{2} - 325 x^{3} + 1027 x^{4} - 2197 x^{5} + 2197 x^{6}$ |
$2$ |
$1$ |
$1$ |
$769$ |
simple |
3.13.an_dc_amu |
$3$ |
$\F_{13}$ |
$13$ |
$( 1 - 6 x + 13 x^{2} )( 1 - 7 x + 25 x^{2} - 91 x^{3} + 169 x^{4} )$ |
$3$ |
$0$ |
$1$ |
$776$ |
1.13.ag $\times$ 2.13.ah_z |
3.13.an_dc_amt |
$3$ |
$\F_{13}$ |
$13$ |
$( 1 - 7 x + 13 x^{2} )( 1 - 6 x + 25 x^{2} - 78 x^{3} + 169 x^{4} )$ |
$3$ |
$0$ |
$1$ |
$777$ |
1.13.ah $\times$ 2.13.ag_z |
3.13.an_dc_ams |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 13 x + 80 x^{2} - 330 x^{3} + 1040 x^{4} - 2197 x^{5} + 2197 x^{6}$ |
$3$ |
$0$ |
$1$ |
$778$ |
simple |
3.13.an_de_anj |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 13 x + 82 x^{2} - 347 x^{3} + 1066 x^{4} - 2197 x^{5} + 2197 x^{6}$ |
$3$ |
$0$ |
$1$ |
$789$ |
simple |
3.13.an_de_ani |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 13 x + 82 x^{2} - 346 x^{3} + 1066 x^{4} - 2197 x^{5} + 2197 x^{6}$ |
$3$ |
$0$ |
$1$ |
$790$ |
simple |
3.13.an_de_anh |
$3$ |
$\F_{13}$ |
$13$ |
$( 1 - 7 x + 13 x^{2} )( 1 - 6 x + 27 x^{2} - 78 x^{3} + 169 x^{4} )$ |
$3$ |
$0$ |
$1$ |
$791$ |
1.13.ah $\times$ 2.13.ag_bb |
3.13.an_de_anf |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 13 x + 82 x^{2} - 343 x^{3} + 1066 x^{4} - 2197 x^{5} + 2197 x^{6}$ |
$3$ |
$0$ |
$1$ |
$793$ |
simple |
3.13.an_df_anq |
$3$ |
$\F_{13}$ |
$13$ |
$1 - 13 x + 83 x^{2} - 354 x^{3} + 1079 x^{4} - 2197 x^{5} + 2197 x^{6}$ |
$3$ |
$0$ |
$1$ |
$796$ |
simple |