Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
jacobians |
hyperelliptic jacobians |
Isogeny factors |
1.16.ai |
$1$ |
$\F_{2^{4}}$ |
$2$ |
$( 1 - 4 x )^{2}$ |
$0$ |
$1$ |
$9$ |
$9$ |
$1$ |
$1$ |
simple |
1.16.ah |
$1$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 7 x + 16 x^{2}$ |
$1$ |
$0$ |
$10$ |
$10$ |
$2$ |
$2$ |
simple |
1.16.af |
$1$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 5 x + 16 x^{2}$ |
$1$ |
$0$ |
$12$ |
$12$ |
$4$ |
$4$ |
simple |
1.16.ae |
$1$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 4 x + 16 x^{2}$ |
$0$ |
$1$ |
$13$ |
$13$ |
$2$ |
$2$ |
simple |
1.16.ad |
$1$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 3 x + 16 x^{2}$ |
$1$ |
$0$ |
$14$ |
$14$ |
$4$ |
$4$ |
simple |
1.16.ab |
$1$ |
$\F_{2^{4}}$ |
$2$ |
$1 - x + 16 x^{2}$ |
$1$ |
$0$ |
$16$ |
$16$ |
$5$ |
$5$ |
simple |
1.16.a |
$1$ |
$\F_{2^{4}}$ |
$2$ |
$1 + 16 x^{2}$ |
$0$ |
$1$ |
$17$ |
$17$ |
$1$ |
$1$ |
simple |
1.16.b |
$1$ |
$\F_{2^{4}}$ |
$2$ |
$1 + x + 16 x^{2}$ |
$1$ |
$0$ |
$18$ |
$18$ |
$5$ |
$5$ |
simple |
1.16.d |
$1$ |
$\F_{2^{4}}$ |
$2$ |
$1 + 3 x + 16 x^{2}$ |
$1$ |
$0$ |
$20$ |
$20$ |
$4$ |
$4$ |
simple |
1.16.e |
$1$ |
$\F_{2^{4}}$ |
$2$ |
$1 + 4 x + 16 x^{2}$ |
$0$ |
$1$ |
$21$ |
$21$ |
$2$ |
$2$ |
simple |
1.16.f |
$1$ |
$\F_{2^{4}}$ |
$2$ |
$1 + 5 x + 16 x^{2}$ |
$1$ |
$0$ |
$22$ |
$22$ |
$4$ |
$4$ |
simple |
1.16.h |
$1$ |
$\F_{2^{4}}$ |
$2$ |
$1 + 7 x + 16 x^{2}$ |
$1$ |
$0$ |
$24$ |
$24$ |
$2$ |
$2$ |
simple |
1.16.i |
$1$ |
$\F_{2^{4}}$ |
$2$ |
$( 1 + 4 x )^{2}$ |
$0$ |
$1$ |
$25$ |
$25$ |
$1$ |
$1$ |
simple |
2.16.aq_ds |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$( 1 - 4 x )^{4}$ |
$0$ |
$2$ |
$1$ |
$81$ |
$1$ |
$1$ |
1.16.ai 2 |
2.16.ap_dk |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$( 1 - 4 x )^{2}( 1 - 7 x + 16 x^{2} )$ |
$1$ |
$1$ |
$2$ |
$90$ |
$0$ |
$0$ |
1.16.ai $\times$ 1.16.ah |
2.16.ao_dd |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$( 1 - 7 x + 16 x^{2} )^{2}$ |
$2$ |
$0$ |
$3$ |
$100$ |
$1$ |
$1$ |
1.16.ah 2 |
2.16.an_cu |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$( 1 - 4 x )^{2}( 1 - 5 x + 16 x^{2} )$ |
$1$ |
$1$ |
$4$ |
$108$ |
$0$ |
$0$ |
1.16.ai $\times$ 1.16.af |
2.16.an_cv |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 13 x + 73 x^{2} - 208 x^{3} + 256 x^{4}$ |
$2$ |
$0$ |
$4$ |
$109$ |
$2$ |
$2$ |
simple |
2.16.am_cm |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$( 1 - 4 x )^{2}( 1 - 4 x + 16 x^{2} )$ |
$0$ |
$2$ |
$5$ |
$117$ |
$0$ |
$0$ |
1.16.ai $\times$ 1.16.ae |
2.16.am_cn |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 12 x + 65 x^{2} - 192 x^{3} + 256 x^{4}$ |
$2$ |
$0$ |
$5$ |
$118$ |
$4$ |
$4$ |
simple |
2.16.am_cp |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$( 1 - 7 x + 16 x^{2} )( 1 - 5 x + 16 x^{2} )$ |
$2$ |
$0$ |
$5$ |
$120$ |
$8$ |
$8$ |
1.16.ah $\times$ 1.16.af |
2.16.al_ce |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$( 1 - 4 x )^{2}( 1 - 3 x + 16 x^{2} )$ |
$1$ |
$1$ |
$6$ |
$126$ |
$0$ |
$0$ |
1.16.ai $\times$ 1.16.ad |
2.16.al_cf |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 11 x + 57 x^{2} - 176 x^{3} + 256 x^{4}$ |
$2$ |
$0$ |
$6$ |
$127$ |
$4$ |
$4$ |
simple |
2.16.al_ch |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 11 x + 59 x^{2} - 176 x^{3} + 256 x^{4}$ |
$2$ |
$0$ |
$6$ |
$129$ |
$4$ |
$4$ |
simple |
2.16.al_ci |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$( 1 - 7 x + 16 x^{2} )( 1 - 4 x + 16 x^{2} )$ |
$1$ |
$1$ |
$6$ |
$130$ |
$2$ |
$2$ |
1.16.ah $\times$ 1.16.ae |
2.16.al_cj |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 11 x + 61 x^{2} - 176 x^{3} + 256 x^{4}$ |
$2$ |
$0$ |
$6$ |
$131$ |
$4$ |
$4$ |
simple |
2.16.ak_bx |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 10 x + 49 x^{2} - 160 x^{3} + 256 x^{4}$ |
$2$ |
$0$ |
$7$ |
$136$ |
$12$ |
$12$ |
simple |
2.16.ak_bz |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 10 x + 51 x^{2} - 160 x^{3} + 256 x^{4}$ |
$2$ |
$0$ |
$7$ |
$138$ |
$8$ |
$8$ |
simple |
2.16.ak_cb |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$( 1 - 7 x + 16 x^{2} )( 1 - 3 x + 16 x^{2} )$ |
$2$ |
$0$ |
$7$ |
$140$ |
$16$ |
$16$ |
1.16.ah $\times$ 1.16.ad |
2.16.ak_cd |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 10 x + 55 x^{2} - 160 x^{3} + 256 x^{4}$ |
$2$ |
$0$ |
$7$ |
$142$ |
$8$ |
$8$ |
simple |
2.16.ak_cf |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$( 1 - 5 x + 16 x^{2} )^{2}$ |
$2$ |
$0$ |
$7$ |
$144$ |
$6$ |
$6$ |
1.16.af 2 |
2.16.aj_bo |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$( 1 - 4 x )^{2}( 1 - x + 16 x^{2} )$ |
$1$ |
$1$ |
$8$ |
$144$ |
$0$ |
$0$ |
1.16.ai $\times$ 1.16.ab |
2.16.aj_bp |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 9 x + 41 x^{2} - 144 x^{3} + 256 x^{4}$ |
$2$ |
$0$ |
$8$ |
$145$ |
$6$ |
$6$ |
simple |
2.16.aj_br |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 9 x + 43 x^{2} - 144 x^{3} + 256 x^{4}$ |
$2$ |
$0$ |
$8$ |
$147$ |
$12$ |
$12$ |
simple |
2.16.aj_bs |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 9 x + 44 x^{2} - 144 x^{3} + 256 x^{4}$ |
$1$ |
$1$ |
$8$ |
$148$ |
$4$ |
$4$ |
simple |
2.16.aj_bt |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 9 x + 45 x^{2} - 144 x^{3} + 256 x^{4}$ |
$2$ |
$0$ |
$8$ |
$149$ |
$12$ |
$12$ |
simple |
2.16.aj_bv |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 9 x + 47 x^{2} - 144 x^{3} + 256 x^{4}$ |
$2$ |
$0$ |
$8$ |
$151$ |
$8$ |
$8$ |
simple |
2.16.aj_bw |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 9 x + 48 x^{2} - 144 x^{3} + 256 x^{4}$ |
$1$ |
$1$ |
$8$ |
$152$ |
$4$ |
$4$ |
simple |
2.16.aj_bx |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 9 x + 49 x^{2} - 144 x^{3} + 256 x^{4}$ |
$2$ |
$0$ |
$8$ |
$153$ |
$15$ |
$15$ |
simple |
2.16.aj_bz |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 9 x + 51 x^{2} - 144 x^{3} + 256 x^{4}$ |
$2$ |
$0$ |
$8$ |
$155$ |
$8$ |
$8$ |
simple |
2.16.aj_ca |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$( 1 - 5 x + 16 x^{2} )( 1 - 4 x + 16 x^{2} )$ |
$1$ |
$1$ |
$8$ |
$156$ |
$0$ |
$0$ |
1.16.af $\times$ 1.16.ae |
2.16.ai_bg |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$( 1 - 4 x )^{2}( 1 + 16 x^{2} )$ |
$0$ |
$2$ |
$9$ |
$153$ |
$4$ |
$4$ |
1.16.ai $\times$ 1.16.a |
2.16.ai_bh |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 8 x + 33 x^{2} - 128 x^{3} + 256 x^{4}$ |
$2$ |
$0$ |
$9$ |
$154$ |
$8$ |
$8$ |
simple |
2.16.ai_bj |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 8 x + 35 x^{2} - 128 x^{3} + 256 x^{4}$ |
$2$ |
$0$ |
$9$ |
$156$ |
$16$ |
$16$ |
simple |
2.16.ai_bl |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 8 x + 37 x^{2} - 128 x^{3} + 256 x^{4}$ |
$2$ |
$0$ |
$9$ |
$158$ |
$16$ |
$16$ |
simple |
2.16.ai_bn |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$( 1 - 7 x + 16 x^{2} )( 1 - x + 16 x^{2} )$ |
$2$ |
$0$ |
$9$ |
$160$ |
$34$ |
$34$ |
1.16.ah $\times$ 1.16.ab |
2.16.ai_bp |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 8 x + 41 x^{2} - 128 x^{3} + 256 x^{4}$ |
$2$ |
$0$ |
$9$ |
$162$ |
$24$ |
$24$ |
simple |
2.16.ai_br |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 8 x + 43 x^{2} - 128 x^{3} + 256 x^{4}$ |
$2$ |
$0$ |
$9$ |
$164$ |
$16$ |
$16$ |
simple |
2.16.ai_bt |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$1 - 8 x + 45 x^{2} - 128 x^{3} + 256 x^{4}$ |
$2$ |
$0$ |
$9$ |
$166$ |
$16$ |
$16$ |
simple |
2.16.ai_bv |
$2$ |
$\F_{2^{4}}$ |
$2$ |
$( 1 - 5 x + 16 x^{2} )( 1 - 3 x + 16 x^{2} )$ |
$2$ |
$0$ |
$9$ |
$168$ |
$16$ |
$16$ |
1.16.af $\times$ 1.16.ad |