Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
2.81.abk_ss |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 9 x )^{4}$ |
$0$ |
$2$ |
$46$ |
$4096$ |
1.81.as 2 |
2.81.abc_nu |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 14 x + 81 x^{2} )^{2}$ |
$2$ |
$0$ |
$54$ |
$4624$ |
1.81.ao 2 |
2.81.az_lc |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 9 x )^{2}( 1 - 7 x + 81 x^{2} )$ |
$1$ |
$1$ |
$57$ |
$4800$ |
1.81.as $\times$ 1.81.ah |
2.81.ax_kf |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 23 x + 265 x^{2} - 1863 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$59$ |
$4941$ |
simple |
2.81.ao_el |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 14 x + 115 x^{2} - 1134 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$68$ |
$5529$ |
simple |
2.81.ao_id |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 7 x + 81 x^{2} )^{2}$ |
$2$ |
$0$ |
$68$ |
$5625$ |
1.81.ah 2 |
2.81.aj_a |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 9 x )^{2}( 1 + 9 x + 81 x^{2} )$ |
$0$ |
$2$ |
$73$ |
$5824$ |
1.81.as $\times$ 1.81.j |
2.81.ah_cv |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 - 7 x + 73 x^{2} - 567 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$75$ |
$6061$ |
simple |
2.81.ae_adm |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 9 x )^{2}( 1 + 14 x + 81 x^{2} )$ |
$1$ |
$1$ |
$78$ |
$6144$ |
1.81.as $\times$ 1.81.o |
2.81.ae_gk |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 2 x + 81 x^{2} )^{2}$ |
$2$ |
$0$ |
$78$ |
$6400$ |
1.81.ac 2 |
2.81.b_aep |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 + x - 119 x^{2} + 81 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$83$ |
$6525$ |
simple |
2.81.c_aev |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 + 2 x - 125 x^{2} + 162 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$84$ |
$6601$ |
simple |
2.81.c_dv |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 7 x + 81 x^{2} )( 1 + 9 x + 81 x^{2} )$ |
$1$ |
$1$ |
$84$ |
$6825$ |
1.81.ah $\times$ 1.81.j |
2.81.e_aba |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 + 4 x - 26 x^{2} + 324 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$86$ |
$6864$ |
simple |
2.81.e_gk |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 + 2 x + 81 x^{2} )^{2}$ |
$2$ |
$0$ |
$86$ |
$7056$ |
1.81.c 2 |
2.81.h_abg |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 + 7 x - 32 x^{2} + 567 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$89$ |
$7104$ |
simple |
2.81.h_cm |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 - 7 x + 81 x^{2} )( 1 + 14 x + 81 x^{2} )$ |
$2$ |
$0$ |
$89$ |
$7200$ |
1.81.ah $\times$ 1.81.o |
2.81.r_fx |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 + 17 x + 153 x^{2} + 1377 x^{3} + 6561 x^{4}$ |
$1$ |
$1$ |
$99$ |
$8109$ |
simple |
2.81.r_gn |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 + 17 x + 169 x^{2} + 1377 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$99$ |
$8125$ |
simple |
2.81.s_jj |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 + 9 x + 81 x^{2} )^{2}$ |
$0$ |
$2$ |
$100$ |
$8281$ |
1.81.j 2 |
2.81.x_jw |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 + 23 x + 256 x^{2} + 1863 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$105$ |
$8704$ |
simple |
2.81.x_lc |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 + 9 x + 81 x^{2} )( 1 + 14 x + 81 x^{2} )$ |
$1$ |
$1$ |
$105$ |
$8736$ |
1.81.j $\times$ 1.81.o |
2.81.z_mb |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$1 + 25 x + 313 x^{2} + 2025 x^{3} + 6561 x^{4}$ |
$2$ |
$0$ |
$107$ |
$8925$ |
simple |
2.81.bc_nu |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 + 14 x + 81 x^{2} )^{2}$ |
$2$ |
$0$ |
$110$ |
$9216$ |
1.81.o 2 |
2.81.bi_rj |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 + 17 x + 81 x^{2} )^{2}$ |
$2$ |
$0$ |
$116$ |
$9801$ |
1.81.r 2 |
2.81.bk_ss |
$2$ |
$\F_{3^{4}}$ |
$3$ |
$( 1 + 9 x )^{4}$ |
$0$ |
$2$ |
$118$ |
$10000$ |
1.81.s 2 |