Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
2.8.ak_bp |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$( 1 - 5 x + 8 x^{2} )^{2}$ |
$2$ |
$0$ |
$-1$ |
$16$ |
1.8.af 2 |
2.8.aj_bj |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 9 x + 35 x^{2} - 72 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$0$ |
$19$ |
simple |
2.8.aj_bk |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$( 1 - 5 x + 8 x^{2} )( 1 - 4 x + 8 x^{2} )$ |
$1$ |
$1$ |
$0$ |
$20$ |
1.8.af $\times$ 1.8.ae |
2.8.ai_bf |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$( 1 - 5 x + 8 x^{2} )( 1 - 3 x + 8 x^{2} )$ |
$2$ |
$0$ |
$1$ |
$24$ |
1.8.af $\times$ 1.8.ad |
2.8.ai_bg |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$( 1 - 4 x + 8 x^{2} )^{2}$ |
$0$ |
$2$ |
$1$ |
$25$ |
1.8.ae 2 |
2.8.ah_y |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 7 x + 24 x^{2} - 56 x^{3} + 64 x^{4}$ |
$1$ |
$1$ |
$2$ |
$26$ |
simple |
2.8.ah_z |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 7 x + 25 x^{2} - 56 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$2$ |
$27$ |
simple |
2.8.ah_bb |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 7 x + 27 x^{2} - 56 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$2$ |
$29$ |
simple |
2.8.ah_bc |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$( 1 - 4 x + 8 x^{2} )( 1 - 3 x + 8 x^{2} )$ |
$1$ |
$1$ |
$2$ |
$30$ |
1.8.ae $\times$ 1.8.ad |
2.8.ag_t |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 6 x + 19 x^{2} - 48 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$3$ |
$30$ |
simple |
2.8.ag_v |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$( 1 - 5 x + 8 x^{2} )( 1 - x + 8 x^{2} )$ |
$2$ |
$0$ |
$3$ |
$32$ |
1.8.af $\times$ 1.8.ab |
2.8.ag_x |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 6 x + 23 x^{2} - 48 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$3$ |
$34$ |
simple |
2.8.ag_z |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$( 1 - 3 x + 8 x^{2} )^{2}$ |
$2$ |
$0$ |
$3$ |
$36$ |
1.8.ad 2 |
2.8.af_n |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 5 x + 13 x^{2} - 40 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$4$ |
$33$ |
simple |
2.8.af_p |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 5 x + 15 x^{2} - 40 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$4$ |
$35$ |
simple |
2.8.af_q |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$( 1 - 5 x + 8 x^{2} )( 1 + 8 x^{2} )$ |
$1$ |
$1$ |
$4$ |
$36$ |
1.8.af $\times$ 1.8.a |
2.8.af_r |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 5 x + 17 x^{2} - 40 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$4$ |
$37$ |
simple |
2.8.af_t |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 5 x + 19 x^{2} - 40 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$4$ |
$39$ |
simple |
2.8.af_u |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$( 1 - 4 x + 8 x^{2} )( 1 - x + 8 x^{2} )$ |
$1$ |
$1$ |
$4$ |
$40$ |
1.8.ae $\times$ 1.8.ab |
2.8.af_v |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 5 x + 21 x^{2} - 40 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$4$ |
$41$ |
simple |
2.8.ae_h |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 4 x + 7 x^{2} - 32 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$5$ |
$36$ |
simple |
2.8.ae_i |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 4 x + 8 x^{2} - 32 x^{3} + 64 x^{4}$ |
$0$ |
$2$ |
$5$ |
$37$ |
simple |
2.8.ae_j |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 4 x + 9 x^{2} - 32 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$5$ |
$38$ |
simple |
2.8.ae_l |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$( 1 - 5 x + 8 x^{2} )( 1 + x + 8 x^{2} )$ |
$2$ |
$0$ |
$5$ |
$40$ |
1.8.af $\times$ 1.8.b |
2.8.ae_n |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 4 x + 13 x^{2} - 32 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$5$ |
$42$ |
simple |
2.8.ae_p |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 4 x + 15 x^{2} - 32 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$5$ |
$44$ |
simple |
2.8.ae_q |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$( 1 - 4 x + 8 x^{2} )( 1 + 8 x^{2} )$ |
$0$ |
$2$ |
$5$ |
$45$ |
1.8.ae $\times$ 1.8.a |
2.8.ae_r |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 4 x + 17 x^{2} - 32 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$5$ |
$46$ |
simple |
2.8.ae_t |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$( 1 - 3 x + 8 x^{2} )( 1 - x + 8 x^{2} )$ |
$2$ |
$0$ |
$5$ |
$48$ |
1.8.ad $\times$ 1.8.ab |
2.8.ad_b |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 3 x + x^{2} - 24 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$6$ |
$39$ |
simple |
2.8.ad_d |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 3 x + 3 x^{2} - 24 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$6$ |
$41$ |
simple |
2.8.ad_e |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 3 x + 4 x^{2} - 24 x^{3} + 64 x^{4}$ |
$1$ |
$1$ |
$6$ |
$42$ |
simple |
2.8.ad_f |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 3 x + 5 x^{2} - 24 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$6$ |
$43$ |
simple |
2.8.ad_h |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 3 x + 7 x^{2} - 24 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$6$ |
$45$ |
simple |
2.8.ad_i |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 3 x + 8 x^{2} - 24 x^{3} + 64 x^{4}$ |
$1$ |
$1$ |
$6$ |
$46$ |
simple |
2.8.ad_j |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 3 x + 9 x^{2} - 24 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$6$ |
$47$ |
simple |
2.8.ad_l |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 3 x + 11 x^{2} - 24 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$6$ |
$49$ |
simple |
2.8.ad_m |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$( 1 - 4 x + 8 x^{2} )( 1 + x + 8 x^{2} )$ |
$1$ |
$1$ |
$6$ |
$50$ |
1.8.ae $\times$ 1.8.b |
2.8.ad_n |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 3 x + 13 x^{2} - 24 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$6$ |
$51$ |
simple |
2.8.ad_p |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 3 x + 15 x^{2} - 24 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$6$ |
$53$ |
simple |
2.8.ad_q |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$( 1 - 3 x + 8 x^{2} )( 1 + 8 x^{2} )$ |
$1$ |
$1$ |
$6$ |
$54$ |
1.8.ad $\times$ 1.8.a |
2.8.ad_r |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 3 x + 17 x^{2} - 24 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$6$ |
$55$ |
simple |
2.8.ac_ad |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 2 x - 3 x^{2} - 16 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$7$ |
$44$ |
simple |
2.8.ac_ab |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 2 x - x^{2} - 16 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$7$ |
$46$ |
simple |
2.8.ac_b |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$( 1 - 5 x + 8 x^{2} )( 1 + 3 x + 8 x^{2} )$ |
$2$ |
$0$ |
$7$ |
$48$ |
1.8.af $\times$ 1.8.d |
2.8.ac_d |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 2 x + 3 x^{2} - 16 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$7$ |
$50$ |
simple |
2.8.ac_f |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 2 x + 5 x^{2} - 16 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$7$ |
$52$ |
simple |
2.8.ac_h |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 2 x + 7 x^{2} - 16 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$7$ |
$54$ |
simple |
2.8.ac_j |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 2 x + 9 x^{2} - 16 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$7$ |
$56$ |
simple |
2.8.ac_l |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 2 x + 11 x^{2} - 16 x^{3} + 64 x^{4}$ |
$2$ |
$0$ |
$7$ |
$58$ |
simple |