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.at_fo |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 - 10 x + 27 x^{2} )( 1 - 9 x + 27 x^{2} )$ |
$1$ |
$1$ |
$9$ |
$342$ |
1.27.ak $\times$ 1.27.aj |
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.as_ff |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 - 9 x + 27 x^{2} )^{2}$ |
$0$ |
$2$ |
$10$ |
$361$ |
1.27.aj 2 |
2.27.ar_eu |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 - 10 x + 27 x^{2} )( 1 - 7 x + 27 x^{2} )$ |
$2$ |
$0$ |
$11$ |
$378$ |
1.27.ak $\times$ 1.27.ah |
2.27.ar_ev |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 17 x + 125 x^{2} - 459 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$11$ |
$379$ |
simple |
2.27.ar_ew |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 - 9 x + 27 x^{2} )( 1 - 8 x + 27 x^{2} )$ |
$1$ |
$1$ |
$11$ |
$380$ |
1.27.aj $\times$ 1.27.ai |
2.27.aq_ej |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 16 x + 113 x^{2} - 432 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$12$ |
$395$ |
simple |
2.27.aq_el |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 16 x + 115 x^{2} - 432 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$12$ |
$397$ |
simple |
2.27.aq_em |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 16 x + 116 x^{2} - 432 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$12$ |
$398$ |
simple |
2.27.aq_en |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 - 9 x + 27 x^{2} )( 1 - 7 x + 27 x^{2} )$ |
$1$ |
$1$ |
$12$ |
$399$ |
1.27.aj $\times$ 1.27.ah |
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.ap_dz |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 15 x + 103 x^{2} - 405 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$13$ |
$413$ |
simple |
2.27.ap_ea |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 - 10 x + 27 x^{2} )( 1 - 5 x + 27 x^{2} )$ |
$2$ |
$0$ |
$13$ |
$414$ |
1.27.ak $\times$ 1.27.af |
2.27.ap_ec |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 15 x + 106 x^{2} - 405 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$13$ |
$416$ |
simple |
2.27.ap_ed |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 15 x + 107 x^{2} - 405 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$13$ |
$417$ |
simple |
2.27.ap_ef |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 15 x + 109 x^{2} - 405 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$13$ |
$419$ |
simple |
2.27.ap_eg |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 - 8 x + 27 x^{2} )( 1 - 7 x + 27 x^{2} )$ |
$2$ |
$0$ |
$13$ |
$420$ |
1.27.ai $\times$ 1.27.ah |
2.27.ao_do |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 14 x + 92 x^{2} - 378 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$14$ |
$430$ |
simple |
2.27.ao_dq |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 - 10 x + 27 x^{2} )( 1 - 4 x + 27 x^{2} )$ |
$2$ |
$0$ |
$14$ |
$432$ |
1.27.ak $\times$ 1.27.ae |
2.27.ao_dr |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 14 x + 95 x^{2} - 378 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$14$ |
$433$ |
simple |
2.27.ao_dt |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 14 x + 97 x^{2} - 378 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$14$ |
$435$ |
simple |
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.ao_dv |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 - 9 x + 27 x^{2} )( 1 - 5 x + 27 x^{2} )$ |
$1$ |
$1$ |
$14$ |
$437$ |
1.27.aj $\times$ 1.27.af |
2.27.ao_dw |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 14 x + 100 x^{2} - 378 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$14$ |
$438$ |
simple |
2.27.ao_dx |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 14 x + 101 x^{2} - 378 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$14$ |
$439$ |
simple |
2.27.ao_dz |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 - 7 x + 27 x^{2} )^{2}$ |
$2$ |
$0$ |
$14$ |
$441$ |
1.27.ah 2 |
2.27.an_de |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 13 x + 82 x^{2} - 351 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$15$ |
$448$ |
simple |
2.27.an_df |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 13 x + 83 x^{2} - 351 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$15$ |
$449$ |
simple |
2.27.an_dh |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 13 x + 85 x^{2} - 351 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$15$ |
$451$ |
simple |
2.27.an_di |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 13 x + 86 x^{2} - 351 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$15$ |
$452$ |
simple |
2.27.an_dk |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 13 x + 88 x^{2} - 351 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$15$ |
$454$ |
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.an_dm |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 - 9 x + 27 x^{2} )( 1 - 4 x + 27 x^{2} )$ |
$1$ |
$1$ |
$15$ |
$456$ |
1.27.aj $\times$ 1.27.ae |
2.27.an_dn |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 13 x + 91 x^{2} - 351 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$15$ |
$457$ |
simple |
2.27.an_do |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 13 x + 92 x^{2} - 351 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$15$ |
$458$ |
simple |
2.27.an_dq |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 - 8 x + 27 x^{2} )( 1 - 5 x + 27 x^{2} )$ |
$2$ |
$0$ |
$15$ |
$460$ |
1.27.ai $\times$ 1.27.af |
2.27.an_dr |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 13 x + 95 x^{2} - 351 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$15$ |
$461$ |
simple |
2.27.am_ct |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 12 x + 71 x^{2} - 324 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$16$ |
$465$ |
simple |
2.27.am_cv |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 12 x + 73 x^{2} - 324 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$16$ |
$467$ |
simple |
2.27.am_cw |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 - 10 x + 27 x^{2} )( 1 - 2 x + 27 x^{2} )$ |
$2$ |
$0$ |
$16$ |
$468$ |
1.27.ak $\times$ 1.27.ac |
2.27.am_cy |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 12 x + 76 x^{2} - 324 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$16$ |
$470$ |
simple |
2.27.am_cz |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 12 x + 77 x^{2} - 324 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$16$ |
$471$ |
simple |
2.27.am_db |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 12 x + 79 x^{2} - 324 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$16$ |
$473$ |
simple |
2.27.am_dc |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 12 x + 80 x^{2} - 324 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$16$ |
$474$ |
simple |
2.27.am_de |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 12 x + 82 x^{2} - 324 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$16$ |
$476$ |
simple |
2.27.am_df |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 12 x + 83 x^{2} - 324 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$16$ |
$477$ |
simple |
2.27.am_dh |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 12 x + 85 x^{2} - 324 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$16$ |
$479$ |
simple |
2.27.am_di |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$( 1 - 8 x + 27 x^{2} )( 1 - 4 x + 27 x^{2} )$ |
$2$ |
$0$ |
$16$ |
$480$ |
1.27.ai $\times$ 1.27.ae |
2.27.am_dk |
$2$ |
$\F_{3^{3}}$ |
$3$ |
$1 - 12 x + 88 x^{2} - 324 x^{3} + 729 x^{4}$ |
$2$ |
$0$ |
$16$ |
$482$ |
simple |