Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
3.2.ae_j_ao |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ |
$2$ |
$1$ |
$-1$ |
$2$ |
1.2.ac $\times$ 2.2.ac_d |
3.2.ae_k_ar |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ |
$3$ |
$0$ |
$-1$ |
$2$ |
1.2.ab $\times$ 2.2.ad_f |
3.2.ad_e_ae |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 - x - 2 x^{3} + 4 x^{4} )$ |
$1$ |
$2$ |
$0$ |
$2$ |
1.2.ac $\times$ 2.2.ab_a |
3.2.ad_f_ag |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ |
$2$ |
$1$ |
$0$ |
$3$ |
1.2.ac $\times$ 2.2.ab_b |
3.2.ad_h_al |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ |
$3$ |
$0$ |
$0$ |
$4$ |
1.2.ab $\times$ 2.2.ac_d |
3.2.ad_h_ak |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )$ |
$2$ |
$1$ |
$0$ |
$5$ |
1.2.ac $\times$ 2.2.ab_d |
3.2.ac_d_ag |
$3$ |
$\F_{2}$ |
$2$ |
$1 - 2 x + 3 x^{2} - 6 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6}$ |
$2$ |
$1$ |
$1$ |
$2$ |
simple |
3.2.ac_d_ae |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - x - 2 x^{3} + 4 x^{4} )$ |
$2$ |
$1$ |
$1$ |
$4$ |
1.2.ab $\times$ 2.2.ab_a |
3.2.ac_e_ah |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4} )$ |
$3$ |
$0$ |
$1$ |
$4$ |
1.2.b $\times$ 2.2.ad_f |
3.2.ac_e_af |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ |
$3$ |
$0$ |
$1$ |
$6$ |
1.2.ab $\times$ 2.2.ab_b |
3.2.ac_f_ai |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ |
$2$ |
$1$ |
$1$ |
$6$ |
1.2.a $\times$ 2.2.ac_d |
3.2.ac_g_ah |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )$ |
$3$ |
$0$ |
$1$ |
$10$ |
1.2.ab $\times$ 2.2.ab_d |
3.2.ab_a_e |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 + x + 2 x^{3} + 4 x^{4} )$ |
$1$ |
$2$ |
$2$ |
$8$ |
1.2.ac $\times$ 2.2.b_a |
3.2.ab_b_b |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 - x^{2} + 4 x^{4} )$ |
$3$ |
$0$ |
$2$ |
$8$ |
1.2.ab $\times$ 2.2.a_ab |
3.2.ab_b_c |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 + x + x^{2} + 2 x^{3} + 4 x^{4} )$ |
$2$ |
$1$ |
$2$ |
$9$ |
1.2.ac $\times$ 2.2.b_b |
3.2.ab_c_ae |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x^{2} )( 1 - x - 2 x^{3} + 4 x^{4} )$ |
$1$ |
$2$ |
$2$ |
$6$ |
1.2.a $\times$ 2.2.ab_a |
3.2.ab_d_af |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ |
$3$ |
$0$ |
$2$ |
$8$ |
1.2.b $\times$ 2.2.ac_d |
3.2.ab_d_ae |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x^{2} )( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ |
$2$ |
$1$ |
$2$ |
$9$ |
1.2.a $\times$ 2.2.ab_b |
3.2.ab_d_ac |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 + x + 3 x^{2} + 2 x^{3} + 4 x^{4} )$ |
$2$ |
$1$ |
$2$ |
$11$ |
1.2.ac $\times$ 2.2.b_d |
3.2.ab_d_ab |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 + x^{2} + 4 x^{4} )$ |
$3$ |
$0$ |
$2$ |
$12$ |
1.2.ab $\times$ 2.2.a_b |
3.2.ab_f_ae |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x^{2} )( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )$ |
$2$ |
$1$ |
$2$ |
$15$ |
1.2.a $\times$ 2.2.ab_d |
3.2.a_ab_ac |
$3$ |
$\F_{2}$ |
$2$ |
$1 - x^{2} - 2 x^{3} - 2 x^{4} + 8 x^{6}$ |
$2$ |
$1$ |
$3$ |
$4$ |
simple |
3.2.a_ab_c |
$3$ |
$\F_{2}$ |
$2$ |
$1 - x^{2} + 2 x^{3} - 2 x^{4} + 8 x^{6}$ |
$2$ |
$1$ |
$3$ |
$8$ |
simple |
3.2.a_b_ae |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 - x - 2 x^{3} + 4 x^{4} )$ |
$2$ |
$1$ |
$3$ |
$8$ |
1.2.b $\times$ 2.2.ab_a |
3.2.a_b_ac |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x + 2 x^{2} )( 1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4} )$ |
$2$ |
$1$ |
$3$ |
$10$ |
1.2.c $\times$ 2.2.ac_d |
3.2.a_b_c |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - 2 x + 2 x^{2} )( 1 + 2 x + 3 x^{2} + 4 x^{3} + 4 x^{4} )$ |
$2$ |
$1$ |
$3$ |
$14$ |
1.2.ac $\times$ 2.2.c_d |
3.2.a_b_e |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 + x + 2 x^{3} + 4 x^{4} )$ |
$2$ |
$1$ |
$3$ |
$16$ |
1.2.ab $\times$ 2.2.b_a |
3.2.a_c_ad |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ |
$3$ |
$0$ |
$3$ |
$12$ |
1.2.b $\times$ 2.2.ab_b |
3.2.a_c_d |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 + x + x^{2} + 2 x^{3} + 4 x^{4} )$ |
$3$ |
$0$ |
$3$ |
$18$ |
1.2.ab $\times$ 2.2.b_b |
3.2.a_e_ab |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )$ |
$3$ |
$0$ |
$3$ |
$20$ |
1.2.b $\times$ 2.2.ab_d |
3.2.a_e_b |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 + x + 3 x^{2} + 2 x^{3} + 4 x^{4} )$ |
$3$ |
$0$ |
$3$ |
$22$ |
1.2.ab $\times$ 2.2.b_d |
3.2.b_a_ae |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x + 2 x^{2} )( 1 - x - 2 x^{3} + 4 x^{4} )$ |
$1$ |
$2$ |
$4$ |
$10$ |
1.2.c $\times$ 2.2.ab_a |
3.2.b_b_ac |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x + 2 x^{2} )( 1 - x + x^{2} - 2 x^{3} + 4 x^{4} )$ |
$2$ |
$1$ |
$4$ |
$15$ |
1.2.c $\times$ 2.2.ab_b |
3.2.b_b_ab |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 - x^{2} + 4 x^{4} )$ |
$3$ |
$0$ |
$4$ |
$16$ |
1.2.b $\times$ 2.2.a_ab |
3.2.b_c_e |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x^{2} )( 1 + x + 2 x^{3} + 4 x^{4} )$ |
$1$ |
$2$ |
$4$ |
$24$ |
1.2.a $\times$ 2.2.b_a |
3.2.b_d_b |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 + x^{2} + 4 x^{4} )$ |
$3$ |
$0$ |
$4$ |
$24$ |
1.2.b $\times$ 2.2.a_b |
3.2.b_d_c |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x + 2 x^{2} )( 1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4} )$ |
$2$ |
$1$ |
$4$ |
$25$ |
1.2.c $\times$ 2.2.ab_d |
3.2.b_d_e |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x^{2} )( 1 + x + x^{2} + 2 x^{3} + 4 x^{4} )$ |
$2$ |
$1$ |
$4$ |
$27$ |
1.2.a $\times$ 2.2.b_b |
3.2.b_d_f |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 + 2 x + 3 x^{2} + 4 x^{3} + 4 x^{4} )$ |
$3$ |
$0$ |
$4$ |
$28$ |
1.2.ab $\times$ 2.2.c_d |
3.2.b_f_e |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x^{2} )( 1 + x + 3 x^{2} + 2 x^{3} + 4 x^{4} )$ |
$2$ |
$1$ |
$4$ |
$33$ |
1.2.a $\times$ 2.2.b_d |
3.2.c_d_e |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 + x + 2 x^{3} + 4 x^{4} )$ |
$2$ |
$1$ |
$5$ |
$32$ |
1.2.b $\times$ 2.2.b_a |
3.2.c_d_g |
$3$ |
$\F_{2}$ |
$2$ |
$1 + 2 x + 3 x^{2} + 6 x^{3} + 6 x^{4} + 8 x^{5} + 8 x^{6}$ |
$2$ |
$1$ |
$5$ |
$34$ |
simple |
3.2.c_e_f |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 + x + x^{2} + 2 x^{3} + 4 x^{4} )$ |
$3$ |
$0$ |
$5$ |
$36$ |
1.2.b $\times$ 2.2.b_b |
3.2.c_e_h |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 - x + 2 x^{2} )( 1 + 3 x + 5 x^{2} + 6 x^{3} + 4 x^{4} )$ |
$3$ |
$0$ |
$5$ |
$38$ |
1.2.ab $\times$ 2.2.d_f |
3.2.c_f_i |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x^{2} )( 1 + 2 x + 3 x^{2} + 4 x^{3} + 4 x^{4} )$ |
$2$ |
$1$ |
$5$ |
$42$ |
1.2.a $\times$ 2.2.c_d |
3.2.c_g_h |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 + x + 3 x^{2} + 2 x^{3} + 4 x^{4} )$ |
$3$ |
$0$ |
$5$ |
$44$ |
1.2.b $\times$ 2.2.b_d |
3.2.d_e_e |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x + 2 x^{2} )( 1 + x + 2 x^{3} + 4 x^{4} )$ |
$1$ |
$2$ |
$6$ |
$40$ |
1.2.c $\times$ 2.2.b_a |
3.2.d_f_g |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x + 2 x^{2} )( 1 + x + x^{2} + 2 x^{3} + 4 x^{4} )$ |
$2$ |
$1$ |
$6$ |
$45$ |
1.2.c $\times$ 2.2.b_b |
3.2.d_h_k |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + 2 x + 2 x^{2} )( 1 + x + 3 x^{2} + 2 x^{3} + 4 x^{4} )$ |
$2$ |
$1$ |
$6$ |
$55$ |
1.2.c $\times$ 2.2.b_d |
3.2.d_h_l |
$3$ |
$\F_{2}$ |
$2$ |
$( 1 + x + 2 x^{2} )( 1 + 2 x + 3 x^{2} + 4 x^{3} + 4 x^{4} )$ |
$3$ |
$0$ |
$6$ |
$56$ |
1.2.b $\times$ 2.2.c_d |