Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
2.5.ai_ba |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )^{2}$ |
$2$ |
$0$ |
$-2$ |
$4$ |
1.5.ae 2 |
2.5.ah_w |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )( 1 - 3 x + 5 x^{2} )$ |
$2$ |
$0$ |
$-1$ |
$6$ |
1.5.ae $\times$ 1.5.ad |
2.5.ag_r |
$2$ |
$\F_{5}$ |
$5$ |
$1 - 6 x + 17 x^{2} - 30 x^{3} + 25 x^{4}$ |
$2$ |
$0$ |
$0$ |
$7$ |
simple |
2.5.ag_s |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )( 1 - 2 x + 5 x^{2} )$ |
$2$ |
$0$ |
$0$ |
$8$ |
1.5.ae $\times$ 1.5.ac |
2.5.ag_t |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 - 3 x + 5 x^{2} )^{2}$ |
$2$ |
$0$ |
$0$ |
$9$ |
1.5.ad 2 |
2.5.af_n |
$2$ |
$\F_{5}$ |
$5$ |
$1 - 5 x + 13 x^{2} - 25 x^{3} + 25 x^{4}$ |
$2$ |
$0$ |
$1$ |
$9$ |
simple |
2.5.af_o |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )( 1 - x + 5 x^{2} )$ |
$2$ |
$0$ |
$1$ |
$10$ |
1.5.ae $\times$ 1.5.ab |
2.5.af_p |
$2$ |
$\F_{5}$ |
$5$ |
$1 - 5 x + 15 x^{2} - 25 x^{3} + 25 x^{4}$ |
$0$ |
$2$ |
$1$ |
$11$ |
simple |
2.5.af_q |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 - 3 x + 5 x^{2} )( 1 - 2 x + 5 x^{2} )$ |
$2$ |
$0$ |
$1$ |
$12$ |
1.5.ad $\times$ 1.5.ac |
2.5.ae_i |
$2$ |
$\F_{5}$ |
$5$ |
$1 - 4 x + 8 x^{2} - 20 x^{3} + 25 x^{4}$ |
$2$ |
$0$ |
$2$ |
$10$ |
simple |
2.5.ae_j |
$2$ |
$\F_{5}$ |
$5$ |
$1 - 4 x + 9 x^{2} - 20 x^{3} + 25 x^{4}$ |
$2$ |
$0$ |
$2$ |
$11$ |
simple |
2.5.ae_k |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )( 1 + 5 x^{2} )$ |
$1$ |
$1$ |
$2$ |
$12$ |
1.5.ae $\times$ 1.5.a |
2.5.ae_l |
$2$ |
$\F_{5}$ |
$5$ |
$1 - 4 x + 11 x^{2} - 20 x^{3} + 25 x^{4}$ |
$2$ |
$0$ |
$2$ |
$13$ |
simple |
2.5.ae_m |
$2$ |
$\F_{5}$ |
$5$ |
$1 - 4 x + 12 x^{2} - 20 x^{3} + 25 x^{4}$ |
$2$ |
$0$ |
$2$ |
$14$ |
simple |
2.5.ae_n |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 - 3 x + 5 x^{2} )( 1 - x + 5 x^{2} )$ |
$2$ |
$0$ |
$2$ |
$15$ |
1.5.ad $\times$ 1.5.ab |
2.5.ae_o |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 - 2 x + 5 x^{2} )^{2}$ |
$2$ |
$0$ |
$2$ |
$16$ |
1.5.ac 2 |
2.5.ad_e |
$2$ |
$\F_{5}$ |
$5$ |
$1 - 3 x + 4 x^{2} - 15 x^{3} + 25 x^{4}$ |
$2$ |
$0$ |
$3$ |
$12$ |
simple |
2.5.ad_f |
$2$ |
$\F_{5}$ |
$5$ |
$1 - 3 x + 5 x^{2} - 15 x^{3} + 25 x^{4}$ |
$1$ |
$1$ |
$3$ |
$13$ |
simple |
2.5.ad_g |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )( 1 + x + 5 x^{2} )$ |
$2$ |
$0$ |
$3$ |
$14$ |
1.5.ae $\times$ 1.5.b |
2.5.ad_h |
$2$ |
$\F_{5}$ |
$5$ |
$1 - 3 x + 7 x^{2} - 15 x^{3} + 25 x^{4}$ |
$2$ |
$0$ |
$3$ |
$15$ |
simple |
2.5.ad_i |
$2$ |
$\F_{5}$ |
$5$ |
$1 - 3 x + 8 x^{2} - 15 x^{3} + 25 x^{4}$ |
$2$ |
$0$ |
$3$ |
$16$ |
simple |
2.5.ad_j |
$2$ |
$\F_{5}$ |
$5$ |
$1 - 3 x + 9 x^{2} - 15 x^{3} + 25 x^{4}$ |
$2$ |
$0$ |
$3$ |
$17$ |
simple |
2.5.ad_k |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 - 3 x + 5 x^{2} )( 1 + 5 x^{2} )$ |
$1$ |
$1$ |
$3$ |
$18$ |
1.5.ad $\times$ 1.5.a |
2.5.ad_l |
$2$ |
$\F_{5}$ |
$5$ |
$1 - 3 x + 11 x^{2} - 15 x^{3} + 25 x^{4}$ |
$2$ |
$0$ |
$3$ |
$19$ |
simple |
2.5.ad_m |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 - 2 x + 5 x^{2} )( 1 - x + 5 x^{2} )$ |
$2$ |
$0$ |
$3$ |
$20$ |
1.5.ac $\times$ 1.5.ab |
2.5.ac_ab |
$2$ |
$\F_{5}$ |
$5$ |
$1 - 2 x - x^{2} - 10 x^{3} + 25 x^{4}$ |
$2$ |
$0$ |
$4$ |
$13$ |
simple |
2.5.ac_a |
$2$ |
$\F_{5}$ |
$5$ |
$1 - 2 x - 10 x^{3} + 25 x^{4}$ |
$1$ |
$1$ |
$4$ |
$14$ |
simple |
2.5.ac_b |
$2$ |
$\F_{5}$ |
$5$ |
$1 - 2 x + x^{2} - 10 x^{3} + 25 x^{4}$ |
$2$ |
$0$ |
$4$ |
$15$ |
simple |
2.5.ac_c |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )( 1 + 2 x + 5 x^{2} )$ |
$2$ |
$0$ |
$4$ |
$16$ |
1.5.ae $\times$ 1.5.c |
2.5.ac_d |
$2$ |
$\F_{5}$ |
$5$ |
$1 - 2 x + 3 x^{2} - 10 x^{3} + 25 x^{4}$ |
$2$ |
$0$ |
$4$ |
$17$ |
simple |
2.5.ac_e |
$2$ |
$\F_{5}$ |
$5$ |
$1 - 2 x + 4 x^{2} - 10 x^{3} + 25 x^{4}$ |
$2$ |
$0$ |
$4$ |
$18$ |
simple |
2.5.ac_f |
$2$ |
$\F_{5}$ |
$5$ |
$1 - 2 x + 5 x^{2} - 10 x^{3} + 25 x^{4}$ |
$1$ |
$1$ |
$4$ |
$19$ |
simple |
2.5.ac_g |
$2$ |
$\F_{5}$ |
$5$ |
$1 - 2 x + 6 x^{2} - 10 x^{3} + 25 x^{4}$ |
$2$ |
$0$ |
$4$ |
$20$ |
simple |
2.5.ac_h |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 - 3 x + 5 x^{2} )( 1 + x + 5 x^{2} )$ |
$2$ |
$0$ |
$4$ |
$21$ |
1.5.ad $\times$ 1.5.b |
2.5.ac_i |
$2$ |
$\F_{5}$ |
$5$ |
$1 - 2 x + 8 x^{2} - 10 x^{3} + 25 x^{4}$ |
$2$ |
$0$ |
$4$ |
$22$ |
simple |
2.5.ac_j |
$2$ |
$\F_{5}$ |
$5$ |
$1 - 2 x + 9 x^{2} - 10 x^{3} + 25 x^{4}$ |
$2$ |
$0$ |
$4$ |
$23$ |
simple |
2.5.ac_k |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 - 2 x + 5 x^{2} )( 1 + 5 x^{2} )$ |
$1$ |
$1$ |
$4$ |
$24$ |
1.5.ac $\times$ 1.5.a |
2.5.ac_l |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 - x + 5 x^{2} )^{2}$ |
$2$ |
$0$ |
$4$ |
$25$ |
1.5.ab 2 |
2.5.ab_af |
$2$ |
$\F_{5}$ |
$5$ |
$1 - x - 5 x^{2} - 5 x^{3} + 25 x^{4}$ |
$1$ |
$1$ |
$5$ |
$15$ |
simple |
2.5.ab_ae |
$2$ |
$\F_{5}$ |
$5$ |
$1 - x - 4 x^{2} - 5 x^{3} + 25 x^{4}$ |
$2$ |
$0$ |
$5$ |
$16$ |
simple |
2.5.ab_ad |
$2$ |
$\F_{5}$ |
$5$ |
$1 - x - 3 x^{2} - 5 x^{3} + 25 x^{4}$ |
$2$ |
$0$ |
$5$ |
$17$ |
simple |
2.5.ab_ac |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 - 4 x + 5 x^{2} )( 1 + 3 x + 5 x^{2} )$ |
$2$ |
$0$ |
$5$ |
$18$ |
1.5.ae $\times$ 1.5.d |
2.5.ab_ab |
$2$ |
$\F_{5}$ |
$5$ |
$1 - x - x^{2} - 5 x^{3} + 25 x^{4}$ |
$2$ |
$0$ |
$5$ |
$19$ |
simple |
2.5.ab_a |
$2$ |
$\F_{5}$ |
$5$ |
$1 - x - 5 x^{3} + 25 x^{4}$ |
$1$ |
$1$ |
$5$ |
$20$ |
simple |
2.5.ab_b |
$2$ |
$\F_{5}$ |
$5$ |
$1 - x + x^{2} - 5 x^{3} + 25 x^{4}$ |
$2$ |
$0$ |
$5$ |
$21$ |
simple |
2.5.ab_c |
$2$ |
$\F_{5}$ |
$5$ |
$1 - x + 2 x^{2} - 5 x^{3} + 25 x^{4}$ |
$2$ |
$0$ |
$5$ |
$22$ |
simple |
2.5.ab_d |
$2$ |
$\F_{5}$ |
$5$ |
$1 - x + 3 x^{2} - 5 x^{3} + 25 x^{4}$ |
$2$ |
$0$ |
$5$ |
$23$ |
simple |
2.5.ab_e |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 - 3 x + 5 x^{2} )( 1 + 2 x + 5 x^{2} )$ |
$2$ |
$0$ |
$5$ |
$24$ |
1.5.ad $\times$ 1.5.c |
2.5.ab_f |
$2$ |
$\F_{5}$ |
$5$ |
$1 - x + 5 x^{2} - 5 x^{3} + 25 x^{4}$ |
$1$ |
$1$ |
$5$ |
$25$ |
simple |
2.5.ab_g |
$2$ |
$\F_{5}$ |
$5$ |
$1 - x + 6 x^{2} - 5 x^{3} + 25 x^{4}$ |
$2$ |
$0$ |
$5$ |
$26$ |
simple |