Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
2.3.a_ab |
$2$ |
$\F_{3}$ |
$3$ |
$1 - x^{2} + 9 x^{4}$ |
$2$ |
$0$ |
$4$ |
$9$ |
simple |
2.3.a_b |
$2$ |
$\F_{3}$ |
$3$ |
$1 + x^{2} + 9 x^{4}$ |
$2$ |
$0$ |
$4$ |
$11$ |
simple |
2.4.a_af |
$2$ |
$\F_{2^{2}}$ |
$2$ |
$1 - 5 x^{2} + 16 x^{4}$ |
$2$ |
$0$ |
$5$ |
$12$ |
simple |
2.4.a_ad |
$2$ |
$\F_{2^{2}}$ |
$2$ |
$1 - 3 x^{2} + 16 x^{4}$ |
$2$ |
$0$ |
$5$ |
$14$ |
simple |
2.4.a_d |
$2$ |
$\F_{2^{2}}$ |
$2$ |
$1 + 3 x^{2} + 16 x^{4}$ |
$2$ |
$0$ |
$5$ |
$20$ |
simple |
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.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_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_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.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_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_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.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_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_i |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 - 2 x + 5 x^{2} )( 1 + x + 5 x^{2} )$ |
$2$ |
$0$ |
$5$ |
$28$ |
1.5.ac $\times$ 1.5.b |
2.5.a_ae |
$2$ |
$\F_{5}$ |
$5$ |
$1 - 4 x^{2} + 25 x^{4}$ |
$2$ |
$0$ |
$6$ |
$22$ |
simple |
2.5.a_ad |
$2$ |
$\F_{5}$ |
$5$ |
$1 - 3 x^{2} + 25 x^{4}$ |
$2$ |
$0$ |
$6$ |
$23$ |
simple |
2.5.a_d |
$2$ |
$\F_{5}$ |
$5$ |
$1 + 3 x^{2} + 25 x^{4}$ |
$2$ |
$0$ |
$6$ |
$29$ |
simple |
2.5.a_e |
$2$ |
$\F_{5}$ |
$5$ |
$1 + 4 x^{2} + 25 x^{4}$ |
$2$ |
$0$ |
$6$ |
$30$ |
simple |
2.5.b_ac |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 - 3 x + 5 x^{2} )( 1 + 4 x + 5 x^{2} )$ |
$2$ |
$0$ |
$7$ |
$30$ |
1.5.ad $\times$ 1.5.e |
2.5.b_e |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 - 2 x + 5 x^{2} )( 1 + 3 x + 5 x^{2} )$ |
$2$ |
$0$ |
$7$ |
$36$ |
1.5.ac $\times$ 1.5.d |
2.5.b_i |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 - x + 5 x^{2} )( 1 + 2 x + 5 x^{2} )$ |
$2$ |
$0$ |
$7$ |
$40$ |
1.5.ab $\times$ 1.5.c |
2.5.c_k |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 + 5 x^{2} )( 1 + 2 x + 5 x^{2} )$ |
$1$ |
$1$ |
$8$ |
$48$ |
1.5.a $\times$ 1.5.c |
2.5.d_g |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 - x + 5 x^{2} )( 1 + 4 x + 5 x^{2} )$ |
$2$ |
$0$ |
$9$ |
$50$ |
1.5.ab $\times$ 1.5.e |
2.5.d_m |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 + x + 5 x^{2} )( 1 + 2 x + 5 x^{2} )$ |
$2$ |
$0$ |
$9$ |
$56$ |
1.5.b $\times$ 1.5.c |
2.5.e_k |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 + 5 x^{2} )( 1 + 4 x + 5 x^{2} )$ |
$1$ |
$1$ |
$10$ |
$60$ |
1.5.a $\times$ 1.5.e |
2.5.f_o |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 + x + 5 x^{2} )( 1 + 4 x + 5 x^{2} )$ |
$2$ |
$0$ |
$11$ |
$70$ |
1.5.b $\times$ 1.5.e |
2.5.f_q |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 + 2 x + 5 x^{2} )( 1 + 3 x + 5 x^{2} )$ |
$2$ |
$0$ |
$11$ |
$72$ |
1.5.c $\times$ 1.5.d |
2.5.h_w |
$2$ |
$\F_{5}$ |
$5$ |
$( 1 + 3 x + 5 x^{2} )( 1 + 4 x + 5 x^{2} )$ |
$2$ |
$0$ |
$13$ |
$90$ |
1.5.d $\times$ 1.5.e |
2.7.a_aj |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 9 x^{2} + 49 x^{4}$ |
$2$ |
$0$ |
$8$ |
$41$ |
simple |
2.7.a_ai |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 8 x^{2} + 49 x^{4}$ |
$2$ |
$0$ |
$8$ |
$42$ |
simple |
2.7.a_ad |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 3 x^{2} + 49 x^{4}$ |
$2$ |
$0$ |
$8$ |
$47$ |
simple |
2.7.a_ab |
$2$ |
$\F_{7}$ |
$7$ |
$1 - x^{2} + 49 x^{4}$ |
$2$ |
$0$ |
$8$ |
$49$ |
simple |
2.7.a_b |
$2$ |
$\F_{7}$ |
$7$ |
$1 + x^{2} + 49 x^{4}$ |
$2$ |
$0$ |
$8$ |
$51$ |
simple |
2.7.a_d |
$2$ |
$\F_{7}$ |
$7$ |
$1 + 3 x^{2} + 49 x^{4}$ |
$2$ |
$0$ |
$8$ |
$53$ |
simple |
2.7.a_i |
$2$ |
$\F_{7}$ |
$7$ |
$1 + 8 x^{2} + 49 x^{4}$ |
$2$ |
$0$ |
$8$ |
$58$ |
simple |
2.7.a_j |
$2$ |
$\F_{7}$ |
$7$ |
$1 + 9 x^{2} + 49 x^{4}$ |
$2$ |
$0$ |
$8$ |
$59$ |
simple |
2.8.a_af |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 5 x^{2} + 64 x^{4}$ |
$2$ |
$0$ |
$9$ |
$60$ |
simple |
2.8.a_ad |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - 3 x^{2} + 64 x^{4}$ |
$2$ |
$0$ |
$9$ |
$62$ |
simple |
2.8.a_ab |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 - x^{2} + 64 x^{4}$ |
$2$ |
$0$ |
$9$ |
$64$ |
simple |
2.8.a_b |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 + x^{2} + 64 x^{4}$ |
$2$ |
$0$ |
$9$ |
$66$ |
simple |
2.8.a_d |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 + 3 x^{2} + 64 x^{4}$ |
$2$ |
$0$ |
$9$ |
$68$ |
simple |
2.8.a_f |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 + 5 x^{2} + 64 x^{4}$ |
$2$ |
$0$ |
$9$ |
$70$ |
simple |
2.8.a_l |
$2$ |
$\F_{2^{3}}$ |
$2$ |
$1 + 11 x^{2} + 64 x^{4}$ |
$2$ |
$0$ |
$9$ |
$76$ |
simple |
2.9.a_an |
$2$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 13 x^{2} + 81 x^{4}$ |
$2$ |
$0$ |
$10$ |
$69$ |
simple |
2.9.a_al |
$2$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 11 x^{2} + 81 x^{4}$ |
$2$ |
$0$ |
$10$ |
$71$ |
simple |
2.9.a_ai |
$2$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 8 x^{2} + 81 x^{4}$ |
$2$ |
$0$ |
$10$ |
$74$ |
simple |
2.9.a_af |
$2$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 5 x^{2} + 81 x^{4}$ |
$2$ |
$0$ |
$10$ |
$77$ |
simple |
2.9.a_ae |
$2$ |
$\F_{3^{2}}$ |
$3$ |
$1 - 4 x^{2} + 81 x^{4}$ |
$2$ |
$0$ |
$10$ |
$78$ |
simple |
2.9.a_ab |
$2$ |
$\F_{3^{2}}$ |
$3$ |
$1 - x^{2} + 81 x^{4}$ |
$2$ |
$0$ |
$10$ |
$81$ |
simple |