Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
2.3.ae_i |
$2$ |
$\F_{3}$ |
$3$ |
$1 - 4 x + 8 x^{2} - 12 x^{3} + 9 x^{4}$ |
$2$ |
$0$ |
$0$ |
$2$ |
simple |
2.3.ae_j |
$2$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 - x + 3 x^{2} )$ |
$1$ |
$1$ |
$0$ |
$3$ |
1.3.ad $\times$ 1.3.ab |
2.3.ae_k |
$2$ |
$\F_{3}$ |
$3$ |
$( 1 - 2 x + 3 x^{2} )^{2}$ |
$2$ |
$0$ |
$0$ |
$4$ |
1.3.ac 2 |
2.3.ad_f |
$2$ |
$\F_{3}$ |
$3$ |
$1 - 3 x + 5 x^{2} - 9 x^{3} + 9 x^{4}$ |
$2$ |
$0$ |
$1$ |
$3$ |
simple |
2.3.ad_g |
$2$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 + 3 x^{2} )$ |
$0$ |
$2$ |
$1$ |
$4$ |
1.3.ad $\times$ 1.3.a |
2.3.ad_h |
$2$ |
$\F_{3}$ |
$3$ |
$1 - 3 x + 7 x^{2} - 9 x^{3} + 9 x^{4}$ |
$2$ |
$0$ |
$1$ |
$5$ |
simple |
2.3.ac_b |
$2$ |
$\F_{3}$ |
$3$ |
$1 - 2 x + x^{2} - 6 x^{3} + 9 x^{4}$ |
$2$ |
$0$ |
$2$ |
$3$ |
simple |
2.3.ac_c |
$2$ |
$\F_{3}$ |
$3$ |
$1 - 2 x + 2 x^{2} - 6 x^{3} + 9 x^{4}$ |
$2$ |
$0$ |
$2$ |
$4$ |
simple |
2.3.ac_d |
$2$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 + x + 3 x^{2} )$ |
$1$ |
$1$ |
$2$ |
$5$ |
1.3.ad $\times$ 1.3.b |
2.3.ac_e |
$2$ |
$\F_{3}$ |
$3$ |
$1 - 2 x + 4 x^{2} - 6 x^{3} + 9 x^{4}$ |
$2$ |
$0$ |
$2$ |
$6$ |
simple |
2.3.ac_f |
$2$ |
$\F_{3}$ |
$3$ |
$1 - 2 x + 5 x^{2} - 6 x^{3} + 9 x^{4}$ |
$2$ |
$0$ |
$2$ |
$7$ |
simple |
2.3.ac_g |
$2$ |
$\F_{3}$ |
$3$ |
$( 1 - 2 x + 3 x^{2} )( 1 + 3 x^{2} )$ |
$1$ |
$1$ |
$2$ |
$8$ |
1.3.ac $\times$ 1.3.a |
2.3.ac_h |
$2$ |
$\F_{3}$ |
$3$ |
$( 1 - x + 3 x^{2} )^{2}$ |
$2$ |
$0$ |
$2$ |
$9$ |
1.3.ab 2 |
2.3.ab_ac |
$2$ |
$\F_{3}$ |
$3$ |
$1 - x - 2 x^{2} - 3 x^{3} + 9 x^{4}$ |
$2$ |
$0$ |
$3$ |
$4$ |
simple |
2.3.ab_ab |
$2$ |
$\F_{3}$ |
$3$ |
$1 - x - x^{2} - 3 x^{3} + 9 x^{4}$ |
$2$ |
$0$ |
$3$ |
$5$ |
simple |
2.3.ab_a |
$2$ |
$\F_{3}$ |
$3$ |
$( 1 - 3 x + 3 x^{2} )( 1 + 2 x + 3 x^{2} )$ |
$1$ |
$1$ |
$3$ |
$6$ |
1.3.ad $\times$ 1.3.c |
2.3.ab_b |
$2$ |
$\F_{3}$ |
$3$ |
$1 - x + x^{2} - 3 x^{3} + 9 x^{4}$ |
$2$ |
$0$ |
$3$ |
$7$ |
simple |
2.3.ab_c |
$2$ |
$\F_{3}$ |
$3$ |
$1 - x + 2 x^{2} - 3 x^{3} + 9 x^{4}$ |
$2$ |
$0$ |
$3$ |
$8$ |
simple |
2.3.ab_d |
$2$ |
$\F_{3}$ |
$3$ |
$1 - x + 3 x^{2} - 3 x^{3} + 9 x^{4}$ |
$1$ |
$1$ |
$3$ |
$9$ |
simple |
2.3.ab_e |
$2$ |
$\F_{3}$ |
$3$ |
$( 1 - 2 x + 3 x^{2} )( 1 + x + 3 x^{2} )$ |
$2$ |
$0$ |
$3$ |
$10$ |
1.3.ac $\times$ 1.3.b |
2.3.ab_f |
$2$ |
$\F_{3}$ |
$3$ |
$1 - x + 5 x^{2} - 3 x^{3} + 9 x^{4}$ |
$2$ |
$0$ |
$3$ |
$11$ |
simple |
2.3.a_ac |
$2$ |
$\F_{3}$ |
$3$ |
$1 - 2 x^{2} + 9 x^{4}$ |
$2$ |
$0$ |
$4$ |
$8$ |
simple |
2.3.a_ab |
$2$ |
$\F_{3}$ |
$3$ |
$1 - x^{2} + 9 x^{4}$ |
$2$ |
$0$ |
$4$ |
$9$ |
simple |
2.3.a_a |
$2$ |
$\F_{3}$ |
$3$ |
$1 + 9 x^{4}$ |
$0$ |
$2$ |
$4$ |
$10$ |
simple |
2.3.a_b |
$2$ |
$\F_{3}$ |
$3$ |
$1 + x^{2} + 9 x^{4}$ |
$2$ |
$0$ |
$4$ |
$11$ |
simple |
2.3.a_c |
$2$ |
$\F_{3}$ |
$3$ |
$( 1 - 2 x + 3 x^{2} )( 1 + 2 x + 3 x^{2} )$ |
$2$ |
$0$ |
$4$ |
$12$ |
1.3.ac $\times$ 1.3.c |
2.3.a_d |
$2$ |
$\F_{3}$ |
$3$ |
$1 + 3 x^{2} + 9 x^{4}$ |
$0$ |
$2$ |
$4$ |
$13$ |
simple |
2.3.a_e |
$2$ |
$\F_{3}$ |
$3$ |
$1 + 4 x^{2} + 9 x^{4}$ |
$2$ |
$0$ |
$4$ |
$14$ |
simple |
2.3.a_f |
$2$ |
$\F_{3}$ |
$3$ |
$( 1 - x + 3 x^{2} )( 1 + x + 3 x^{2} )$ |
$2$ |
$0$ |
$4$ |
$15$ |
1.3.ab $\times$ 1.3.b |
2.3.b_ac |
$2$ |
$\F_{3}$ |
$3$ |
$1 + x - 2 x^{2} + 3 x^{3} + 9 x^{4}$ |
$2$ |
$0$ |
$5$ |
$12$ |
simple |
2.3.b_ab |
$2$ |
$\F_{3}$ |
$3$ |
$1 + x - x^{2} + 3 x^{3} + 9 x^{4}$ |
$2$ |
$0$ |
$5$ |
$13$ |
simple |
2.3.b_a |
$2$ |
$\F_{3}$ |
$3$ |
$( 1 - 2 x + 3 x^{2} )( 1 + 3 x + 3 x^{2} )$ |
$1$ |
$1$ |
$5$ |
$14$ |
1.3.ac $\times$ 1.3.d |
2.3.b_b |
$2$ |
$\F_{3}$ |
$3$ |
$1 + x + x^{2} + 3 x^{3} + 9 x^{4}$ |
$2$ |
$0$ |
$5$ |
$15$ |
simple |
2.3.b_c |
$2$ |
$\F_{3}$ |
$3$ |
$1 + x + 2 x^{2} + 3 x^{3} + 9 x^{4}$ |
$2$ |
$0$ |
$5$ |
$16$ |
simple |
2.3.b_d |
$2$ |
$\F_{3}$ |
$3$ |
$1 + x + 3 x^{2} + 3 x^{3} + 9 x^{4}$ |
$1$ |
$1$ |
$5$ |
$17$ |
simple |
2.3.b_e |
$2$ |
$\F_{3}$ |
$3$ |
$( 1 - x + 3 x^{2} )( 1 + 2 x + 3 x^{2} )$ |
$2$ |
$0$ |
$5$ |
$18$ |
1.3.ab $\times$ 1.3.c |
2.3.b_f |
$2$ |
$\F_{3}$ |
$3$ |
$1 + x + 5 x^{2} + 3 x^{3} + 9 x^{4}$ |
$2$ |
$0$ |
$5$ |
$19$ |
simple |
2.3.c_b |
$2$ |
$\F_{3}$ |
$3$ |
$1 + 2 x + x^{2} + 6 x^{3} + 9 x^{4}$ |
$2$ |
$0$ |
$6$ |
$19$ |
simple |
2.3.c_c |
$2$ |
$\F_{3}$ |
$3$ |
$1 + 2 x + 2 x^{2} + 6 x^{3} + 9 x^{4}$ |
$2$ |
$0$ |
$6$ |
$20$ |
simple |
2.3.c_d |
$2$ |
$\F_{3}$ |
$3$ |
$( 1 - x + 3 x^{2} )( 1 + 3 x + 3 x^{2} )$ |
$1$ |
$1$ |
$6$ |
$21$ |
1.3.ab $\times$ 1.3.d |
2.3.c_e |
$2$ |
$\F_{3}$ |
$3$ |
$1 + 2 x + 4 x^{2} + 6 x^{3} + 9 x^{4}$ |
$2$ |
$0$ |
$6$ |
$22$ |
simple |
2.3.c_f |
$2$ |
$\F_{3}$ |
$3$ |
$1 + 2 x + 5 x^{2} + 6 x^{3} + 9 x^{4}$ |
$2$ |
$0$ |
$6$ |
$23$ |
simple |
2.3.c_g |
$2$ |
$\F_{3}$ |
$3$ |
$( 1 + 3 x^{2} )( 1 + 2 x + 3 x^{2} )$ |
$1$ |
$1$ |
$6$ |
$24$ |
1.3.a $\times$ 1.3.c |
2.3.c_h |
$2$ |
$\F_{3}$ |
$3$ |
$( 1 + x + 3 x^{2} )^{2}$ |
$2$ |
$0$ |
$6$ |
$25$ |
1.3.b 2 |
2.3.d_f |
$2$ |
$\F_{3}$ |
$3$ |
$1 + 3 x + 5 x^{2} + 9 x^{3} + 9 x^{4}$ |
$2$ |
$0$ |
$7$ |
$27$ |
simple |
2.3.d_g |
$2$ |
$\F_{3}$ |
$3$ |
$( 1 + 3 x^{2} )( 1 + 3 x + 3 x^{2} )$ |
$0$ |
$2$ |
$7$ |
$28$ |
1.3.a $\times$ 1.3.d |
2.3.d_h |
$2$ |
$\F_{3}$ |
$3$ |
$1 + 3 x + 7 x^{2} + 9 x^{3} + 9 x^{4}$ |
$2$ |
$0$ |
$7$ |
$29$ |
simple |
2.3.e_i |
$2$ |
$\F_{3}$ |
$3$ |
$1 + 4 x + 8 x^{2} + 12 x^{3} + 9 x^{4}$ |
$2$ |
$0$ |
$8$ |
$34$ |
simple |
2.3.e_j |
$2$ |
$\F_{3}$ |
$3$ |
$( 1 + x + 3 x^{2} )( 1 + 3 x + 3 x^{2} )$ |
$1$ |
$1$ |
$8$ |
$35$ |
1.3.b $\times$ 1.3.d |
2.3.e_k |
$2$ |
$\F_{3}$ |
$3$ |
$( 1 + 2 x + 3 x^{2} )^{2}$ |
$2$ |
$0$ |
$8$ |
$36$ |
1.3.c 2 |