Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
3.7.ap_ds_amx |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )^{3}$ |
$3$ |
$0$ |
$-7$ |
$27$ |
1.7.af 3 |
3.7.ao_di_alk |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 4 x + 7 x^{2} )( 1 - 5 x + 7 x^{2} )^{2}$ |
$3$ |
$0$ |
$-6$ |
$36$ |
1.7.af 2 $\times$ 1.7.ae |
3.7.an_cy_ajx |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 3 x + 7 x^{2} )( 1 - 5 x + 7 x^{2} )^{2}$ |
$3$ |
$0$ |
$-5$ |
$45$ |
1.7.af 2 $\times$ 1.7.ad |
3.7.an_cz_akc |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 4 x + 7 x^{2} )^{2}$ |
$3$ |
$0$ |
$-5$ |
$48$ |
1.7.af $\times$ 1.7.ae 2 |
3.7.am_co_aik |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 2 x + 7 x^{2} )( 1 - 5 x + 7 x^{2} )^{2}$ |
$3$ |
$0$ |
$-4$ |
$54$ |
1.7.af 2 $\times$ 1.7.ac |
3.7.am_cp_aip |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 7 x + 25 x^{2} - 49 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$-4$ |
$57$ |
1.7.af $\times$ 2.7.ah_z |
3.7.am_cq_aiu |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 4 x + 7 x^{2} )( 1 - 3 x + 7 x^{2} )$ |
$3$ |
$0$ |
$-4$ |
$60$ |
1.7.af $\times$ 1.7.ae $\times$ 1.7.ad |
3.7.am_cr_aiy |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 4 x + 7 x^{2} )^{3}$ |
$3$ |
$0$ |
$-4$ |
$64$ |
1.7.ae 3 |
3.7.al_cd_ags |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 6 x + 18 x^{2} - 42 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$-3$ |
$60$ |
1.7.af $\times$ 2.7.ag_s |
3.7.al_ce_agx |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - x + 7 x^{2} )( 1 - 5 x + 7 x^{2} )^{2}$ |
$3$ |
$0$ |
$-3$ |
$63$ |
1.7.af 2 $\times$ 1.7.ab |
3.7.al_cf_ahc |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 6 x + 20 x^{2} - 42 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$-3$ |
$66$ |
1.7.af $\times$ 2.7.ag_u |
3.7.al_cg_ahh |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 6 x + 21 x^{2} - 42 x^{3} + 49 x^{4} )$ |
$2$ |
$1$ |
$-3$ |
$69$ |
1.7.af $\times$ 2.7.ag_v |
3.7.al_ch_ahn |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 11 x + 59 x^{2} - 195 x^{3} + 413 x^{4} - 539 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$-3$ |
$71$ |
simple |
3.7.al_ch_ahm |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 4 x + 7 x^{2} )( 1 - 2 x + 7 x^{2} )$ |
$3$ |
$0$ |
$-3$ |
$72$ |
1.7.af $\times$ 1.7.ae $\times$ 1.7.ac |
3.7.al_ci_ahr |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 3 x + 7 x^{2} )^{2}$ |
$3$ |
$0$ |
$-3$ |
$75$ |
1.7.af $\times$ 1.7.ad 2 |
3.7.al_ci_ahq |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 4 x + 7 x^{2} )( 1 - 7 x + 25 x^{2} - 49 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$-3$ |
$76$ |
1.7.ae $\times$ 2.7.ah_z |
3.7.al_cj_ahu |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 3 x + 7 x^{2} )( 1 - 4 x + 7 x^{2} )^{2}$ |
$3$ |
$0$ |
$-3$ |
$80$ |
1.7.ae 2 $\times$ 1.7.ad |
3.7.ak_bt_aff |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 5 x + 13 x^{2} - 35 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$-2$ |
$69$ |
1.7.af $\times$ 2.7.af_n |
3.7.ak_bu_afk |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 + 7 x^{2} )( 1 - 5 x + 7 x^{2} )^{2}$ |
$2$ |
$1$ |
$-2$ |
$72$ |
1.7.af 2 $\times$ 1.7.a |
3.7.ak_bv_afp |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 5 x + 15 x^{2} - 35 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$-2$ |
$75$ |
1.7.af $\times$ 2.7.af_p |
3.7.ak_bw_afv |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 10 x + 48 x^{2} - 151 x^{3} + 336 x^{4} - 490 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$-2$ |
$77$ |
simple |
3.7.ak_bw_afu |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 5 x + 16 x^{2} - 35 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$-2$ |
$78$ |
1.7.af $\times$ 2.7.af_q |
3.7.ak_bx_aga |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 4 x + 7 x^{2} )( 1 - 6 x + 18 x^{2} - 42 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$-2$ |
$80$ |
1.7.ae $\times$ 2.7.ag_s |
3.7.ak_bx_afz |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 5 x + 17 x^{2} - 35 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$-2$ |
$81$ |
1.7.af $\times$ 2.7.af_r |
3.7.ak_by_agf |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 10 x + 50 x^{2} - 161 x^{3} + 350 x^{4} - 490 x^{5} + 343 x^{6}$ |
$2$ |
$1$ |
$-2$ |
$83$ |
simple |
3.7.ak_by_age |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 4 x + 7 x^{2} )( 1 - x + 7 x^{2} )$ |
$3$ |
$0$ |
$-2$ |
$84$ |
1.7.af $\times$ 1.7.ae $\times$ 1.7.ab |
3.7.ak_bz_agk |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 10 x + 51 x^{2} - 166 x^{3} + 357 x^{4} - 490 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$-2$ |
$86$ |
simple |
3.7.ak_bz_agj |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 5 x + 19 x^{2} - 35 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$-2$ |
$87$ |
1.7.af $\times$ 2.7.af_t |
3.7.ak_bz_agi |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 4 x + 7 x^{2} )( 1 - 6 x + 20 x^{2} - 42 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$-2$ |
$88$ |
1.7.ae $\times$ 2.7.ag_u |
3.7.ak_ca_ago |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 3 x + 7 x^{2} )( 1 - 2 x + 7 x^{2} )$ |
$3$ |
$0$ |
$-2$ |
$90$ |
1.7.af $\times$ 1.7.ad $\times$ 1.7.ac |
3.7.ak_ca_agn |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 10 x + 52 x^{2} - 169 x^{3} + 364 x^{4} - 490 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$-2$ |
$91$ |
simple |
3.7.ak_ca_agm |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 4 x + 7 x^{2} )( 1 - 6 x + 21 x^{2} - 42 x^{3} + 49 x^{4} )$ |
$2$ |
$1$ |
$-2$ |
$92$ |
1.7.ae $\times$ 2.7.ag_v |
3.7.ak_cb_agr |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 3 x + 7 x^{2} )( 1 - 7 x + 25 x^{2} - 49 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$-2$ |
$95$ |
1.7.ad $\times$ 2.7.ah_z |
3.7.ak_cb_agq |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 2 x + 7 x^{2} )( 1 - 4 x + 7 x^{2} )^{2}$ |
$3$ |
$0$ |
$-2$ |
$96$ |
1.7.ae 2 $\times$ 1.7.ac |
3.7.ak_cc_agu |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 4 x + 7 x^{2} )( 1 - 3 x + 7 x^{2} )^{2}$ |
$3$ |
$0$ |
$-2$ |
$100$ |
1.7.ae $\times$ 1.7.ad 2 |
3.7.aj_bj_ads |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 4 x + 8 x^{2} - 28 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$78$ |
1.7.af $\times$ 2.7.ae_i |
3.7.aj_bk_adx |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 + x + 7 x^{2} )( 1 - 5 x + 7 x^{2} )^{2}$ |
$3$ |
$0$ |
$-1$ |
$81$ |
1.7.af 2 $\times$ 1.7.b |
3.7.aj_bl_aec |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 4 x + 10 x^{2} - 28 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$84$ |
1.7.af $\times$ 2.7.ae_k |
3.7.aj_bm_aei |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 9 x + 38 x^{2} - 112 x^{3} + 266 x^{4} - 441 x^{5} + 343 x^{6}$ |
$2$ |
$1$ |
$-1$ |
$86$ |
simple |
3.7.aj_bm_aeh |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 4 x + 11 x^{2} - 28 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$87$ |
1.7.af $\times$ 2.7.ae_l |
3.7.aj_bn_aen |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 9 x + 39 x^{2} - 117 x^{3} + 273 x^{4} - 441 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$-1$ |
$89$ |
simple |
3.7.aj_bn_aem |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 4 x + 12 x^{2} - 28 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$90$ |
1.7.af $\times$ 2.7.ae_m |
3.7.aj_bo_aes |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 4 x + 7 x^{2} )( 1 - 5 x + 13 x^{2} - 35 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$92$ |
1.7.ae $\times$ 2.7.af_n |
3.7.aj_bo_aer |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 4 x + 13 x^{2} - 28 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$93$ |
1.7.af $\times$ 2.7.ae_n |
3.7.aj_bp_aex |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 9 x + 41 x^{2} - 127 x^{3} + 287 x^{4} - 441 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$-1$ |
$95$ |
simple |
3.7.aj_bp_aew |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 4 x + 7 x^{2} )( 1 + 7 x^{2} )$ |
$2$ |
$1$ |
$-1$ |
$96$ |
1.7.af $\times$ 1.7.ae $\times$ 1.7.a |
3.7.aj_bp_aev |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 9 x + 41 x^{2} - 125 x^{3} + 287 x^{4} - 441 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$-1$ |
$97$ |
simple |
3.7.aj_bq_afd |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 9 x + 42 x^{2} - 133 x^{3} + 294 x^{4} - 441 x^{5} + 343 x^{6}$ |
$1$ |
$2$ |
$-1$ |
$97$ |
simple |
3.7.aj_bq_afc |
$3$ |
$\F_{7}$ |
$7$ |
$1 - 9 x + 42 x^{2} - 132 x^{3} + 294 x^{4} - 441 x^{5} + 343 x^{6}$ |
$3$ |
$0$ |
$-1$ |
$98$ |
simple |
3.7.aj_bq_afb |
$3$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 4 x + 15 x^{2} - 28 x^{3} + 49 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$99$ |
1.7.af $\times$ 2.7.ae_p |