Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
2.27.au_fy |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 - 10 x + 27 x^{2} )^{2}$ |
$2$ |
$0$ |
$8$ |
$324$ |
1.27.ak 2 |
2.27.as_fe |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 - 10 x + 27 x^{2} )( 1 - 8 x + 27 x^{2} )$ |
$2$ |
$0$ |
$10$ |
$360$ |
1.27.ak $\times$ 1.27.ai |
2.27.aq_eo |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 - 8 x + 27 x^{2} )^{2}$ |
$2$ |
$0$ |
$12$ |
$400$ |
1.27.ai 2 |
2.27.ao_du |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 14 x + 98 x^{2} - 378 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$14$ |
$436$ |
simple |
2.27.an_dl |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 13 x + 89 x^{2} - 351 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$15$ |
$455$ |
simple |
2.27.ak_cc |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 - 10 x + 27 x^{2} )( 1 + 27 x^{2} )$ |
$1$ |
$1$ |
$18$ |
$504$ |
1.27.ak $\times$ 1.27.a |
2.27.aj_ct |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 9 x + 71 x^{2} - 243 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$19$ |
$549$ |
simple |
2.27.aj_cv |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 9 x + 73 x^{2} - 243 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$19$ |
$551$ |
simple |
2.27.ai_cc |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 - 8 x + 27 x^{2} )( 1 + 27 x^{2} )$ |
$1$ |
$1$ |
$20$ |
$560$ |
1.27.ai $\times$ 1.27.a |
2.27.ah_t |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 7 x + 19 x^{2} - 189 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$21$ |
$553$ |
simple |
2.27.af_ab |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 5 x - x^{2} - 135 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$23$ |
$589$ |
simple |
2.27.ae_ak |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 4 x - 10 x^{2} - 108 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$24$ |
$608$ |
simple |
2.27.ae_i |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 4 x + 8 x^{2} - 108 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$24$ |
$626$ |
simple |
2.27.ae_ba |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 4 x + 26 x^{2} - 108 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$24$ |
$644$ |
simple |
2.27.ac_aba |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 - 10 x + 27 x^{2} )( 1 + 8 x + 27 x^{2} )$ |
$2$ |
$0$ |
$26$ |
$648$ |
1.27.ak $\times$ 1.27.i |
2.27.ac_bc |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 2 x + 28 x^{2} - 54 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$26$ |
$702$ |
simple |
2.27.ab_abb |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - x - 27 x^{2} - 27 x^{3} + 729 x^{4}$ |
$1$ |
$1$ |
$27$ |
$675$ |
simple |
2.27.a_acc |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 - 27 x^{2} )^{2}$ |
$0$ |
$2$ |
$28$ |
$676$ |
simple |
2.27.a_abu |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 - 10 x + 27 x^{2} )( 1 + 10 x + 27 x^{2} )$ |
$2$ |
$0$ |
$28$ |
$684$ |
1.27.ak $\times$ 1.27.k |
2.27.a_abs |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 44 x^{2} + 729 x^{4}$ |
$2$ |
$0$ |
$28$ |
$686$ |
simple |
2.27.a_aba |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 26 x^{2} + 729 x^{4}$ |
$2$ |
$0$ |
$28$ |
$704$ |
simple |
2.27.a_ak |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 - 8 x + 27 x^{2} )( 1 + 8 x + 27 x^{2} )$ |
$2$ |
$0$ |
$28$ |
$720$ |
1.27.ai $\times$ 1.27.i |
2.27.a_a |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 + 729 x^{4}$ |
$0$ |
$2$ |
$28$ |
$730$ |
simple |
2.27.a_k |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 + 10 x^{2} + 729 x^{4}$ |
$2$ |
$0$ |
$28$ |
$740$ |
simple |
2.27.a_ba |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 + 26 x^{2} + 729 x^{4}$ |
$2$ |
$0$ |
$28$ |
$756$ |
simple |
2.27.a_bs |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 + 44 x^{2} + 729 x^{4}$ |
$2$ |
$0$ |
$28$ |
$774$ |
simple |
2.27.a_bu |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 + 46 x^{2} + 729 x^{4}$ |
$2$ |
$0$ |
$28$ |
$776$ |
simple |
2.27.a_cc |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 + 27 x^{2} )^{2}$ |
$0$ |
$2$ |
$28$ |
$784$ |
1.27.a 2 |
2.27.b_abb |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 + x - 27 x^{2} + 27 x^{3} + 729 x^{4}$ |
$1$ |
$1$ |
$29$ |
$731$ |
simple |
2.27.c_aba |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 - 8 x + 27 x^{2} )( 1 + 10 x + 27 x^{2} )$ |
$2$ |
$0$ |
$30$ |
$760$ |
1.27.ai $\times$ 1.27.k |
2.27.c_bc |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 + 2 x + 28 x^{2} + 54 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$30$ |
$814$ |
simple |
2.27.e_ak |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 + 4 x - 10 x^{2} + 108 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$32$ |
$832$ |
simple |
2.27.e_i |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 + 4 x + 8 x^{2} + 108 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$32$ |
$850$ |
simple |
2.27.e_ba |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 + 4 x + 26 x^{2} + 108 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$32$ |
$868$ |
simple |
2.27.f_ab |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 + 5 x - x^{2} + 135 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$33$ |
$869$ |
simple |
2.27.h_t |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 + 7 x + 19 x^{2} + 189 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$35$ |
$945$ |
simple |
2.27.i_cc |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 + 27 x^{2} )( 1 + 8 x + 27 x^{2} )$ |
$1$ |
$1$ |
$36$ |
$1008$ |
1.27.a $\times$ 1.27.i |
2.27.j_ct |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 + 9 x + 71 x^{2} + 243 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$37$ |
$1053$ |
simple |
2.27.j_cv |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 + 9 x + 73 x^{2} + 243 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$37$ |
$1055$ |
simple |
2.27.k_cc |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 + 27 x^{2} )( 1 + 10 x + 27 x^{2} )$ |
$1$ |
$1$ |
$38$ |
$1064$ |
1.27.a $\times$ 1.27.k |
2.27.n_dl |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 + 13 x + 89 x^{2} + 351 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$41$ |
$1183$ |
simple |
2.27.o_du |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 + 14 x + 98 x^{2} + 378 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$42$ |
$1220$ |
simple |
2.27.q_eo |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 + 8 x + 27 x^{2} )^{2}$ |
$2$ |
$0$ |
$44$ |
$1296$ |
1.27.i 2 |
2.27.s_fe |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 + 8 x + 27 x^{2} )( 1 + 10 x + 27 x^{2} )$ |
$2$ |
$0$ |
$46$ |
$1368$ |
1.27.i $\times$ 1.27.k |
2.27.u_fy |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 + 10 x + 27 x^{2} )^{2}$ |
$2$ |
$0$ |
$48$ |
$1444$ |
1.27.k 2 |