Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
2.7.ak_bn |
$2$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )^{2}$ |
$2$ |
$0$ |
$-2$ |
$9$ |
1.7.af 2 |
2.7.aj_bi |
$2$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 4 x + 7 x^{2} )$ |
$2$ |
$0$ |
$-1$ |
$12$ |
1.7.af $\times$ 1.7.ae |
2.7.ai_bd |
$2$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 3 x + 7 x^{2} )$ |
$2$ |
$0$ |
$0$ |
$15$ |
1.7.af $\times$ 1.7.ad |
2.7.ai_be |
$2$ |
$\F_{7}$ |
$7$ |
$( 1 - 4 x + 7 x^{2} )^{2}$ |
$2$ |
$0$ |
$0$ |
$16$ |
1.7.ae 2 |
2.7.ah_y |
$2$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - 2 x + 7 x^{2} )$ |
$2$ |
$0$ |
$1$ |
$18$ |
1.7.af $\times$ 1.7.ac |
2.7.ah_z |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 7 x + 25 x^{2} - 49 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$1$ |
$19$ |
simple |
2.7.ah_ba |
$2$ |
$\F_{7}$ |
$7$ |
$( 1 - 4 x + 7 x^{2} )( 1 - 3 x + 7 x^{2} )$ |
$2$ |
$0$ |
$1$ |
$20$ |
1.7.ae $\times$ 1.7.ad |
2.7.ag_s |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 6 x + 18 x^{2} - 42 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$2$ |
$20$ |
simple |
2.7.ag_t |
$2$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 - x + 7 x^{2} )$ |
$2$ |
$0$ |
$2$ |
$21$ |
1.7.af $\times$ 1.7.ab |
2.7.ag_u |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 6 x + 20 x^{2} - 42 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$2$ |
$22$ |
simple |
2.7.ag_v |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 6 x + 21 x^{2} - 42 x^{3} + 49 x^{4}$ |
$1$ |
$1$ |
$2$ |
$23$ |
simple |
2.7.ag_w |
$2$ |
$\F_{7}$ |
$7$ |
$( 1 - 4 x + 7 x^{2} )( 1 - 2 x + 7 x^{2} )$ |
$2$ |
$0$ |
$2$ |
$24$ |
1.7.ae $\times$ 1.7.ac |
2.7.ag_x |
$2$ |
$\F_{7}$ |
$7$ |
$( 1 - 3 x + 7 x^{2} )^{2}$ |
$2$ |
$0$ |
$2$ |
$25$ |
1.7.ad 2 |
2.7.af_n |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 5 x + 13 x^{2} - 35 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$3$ |
$23$ |
simple |
2.7.af_o |
$2$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 + 7 x^{2} )$ |
$1$ |
$1$ |
$3$ |
$24$ |
1.7.af $\times$ 1.7.a |
2.7.af_p |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 5 x + 15 x^{2} - 35 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$3$ |
$25$ |
simple |
2.7.af_q |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 5 x + 16 x^{2} - 35 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$3$ |
$26$ |
simple |
2.7.af_r |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 5 x + 17 x^{2} - 35 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$3$ |
$27$ |
simple |
2.7.af_s |
$2$ |
$\F_{7}$ |
$7$ |
$( 1 - 4 x + 7 x^{2} )( 1 - x + 7 x^{2} )$ |
$2$ |
$0$ |
$3$ |
$28$ |
1.7.ae $\times$ 1.7.ab |
2.7.af_t |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 5 x + 19 x^{2} - 35 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$3$ |
$29$ |
simple |
2.7.af_u |
$2$ |
$\F_{7}$ |
$7$ |
$( 1 - 3 x + 7 x^{2} )( 1 - 2 x + 7 x^{2} )$ |
$2$ |
$0$ |
$3$ |
$30$ |
1.7.ad $\times$ 1.7.ac |
2.7.ae_i |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 4 x + 8 x^{2} - 28 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$4$ |
$26$ |
simple |
2.7.ae_j |
$2$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 + x + 7 x^{2} )$ |
$2$ |
$0$ |
$4$ |
$27$ |
1.7.af $\times$ 1.7.b |
2.7.ae_k |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 4 x + 10 x^{2} - 28 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$4$ |
$28$ |
simple |
2.7.ae_l |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 4 x + 11 x^{2} - 28 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$4$ |
$29$ |
simple |
2.7.ae_m |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 4 x + 12 x^{2} - 28 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$4$ |
$30$ |
simple |
2.7.ae_n |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 4 x + 13 x^{2} - 28 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$4$ |
$31$ |
simple |
2.7.ae_o |
$2$ |
$\F_{7}$ |
$7$ |
$( 1 - 4 x + 7 x^{2} )( 1 + 7 x^{2} )$ |
$1$ |
$1$ |
$4$ |
$32$ |
1.7.ae $\times$ 1.7.a |
2.7.ae_p |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 4 x + 15 x^{2} - 28 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$4$ |
$33$ |
simple |
2.7.ae_q |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 4 x + 16 x^{2} - 28 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$4$ |
$34$ |
simple |
2.7.ae_r |
$2$ |
$\F_{7}$ |
$7$ |
$( 1 - 3 x + 7 x^{2} )( 1 - x + 7 x^{2} )$ |
$2$ |
$0$ |
$4$ |
$35$ |
1.7.ad $\times$ 1.7.ab |
2.7.ae_s |
$2$ |
$\F_{7}$ |
$7$ |
$( 1 - 2 x + 7 x^{2} )^{2}$ |
$2$ |
$0$ |
$4$ |
$36$ |
1.7.ac 2 |
2.7.ad_c |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 3 x + 2 x^{2} - 21 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$5$ |
$28$ |
simple |
2.7.ad_d |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 3 x + 3 x^{2} - 21 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$5$ |
$29$ |
simple |
2.7.ad_e |
$2$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 + 2 x + 7 x^{2} )$ |
$2$ |
$0$ |
$5$ |
$30$ |
1.7.af $\times$ 1.7.c |
2.7.ad_f |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 3 x + 5 x^{2} - 21 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$5$ |
$31$ |
simple |
2.7.ad_g |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 3 x + 6 x^{2} - 21 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$5$ |
$32$ |
simple |
2.7.ad_h |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 3 x + 7 x^{2} - 21 x^{3} + 49 x^{4}$ |
$1$ |
$1$ |
$5$ |
$33$ |
simple |
2.7.ad_i |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 3 x + 8 x^{2} - 21 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$5$ |
$34$ |
simple |
2.7.ad_j |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 3 x + 9 x^{2} - 21 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$5$ |
$35$ |
simple |
2.7.ad_k |
$2$ |
$\F_{7}$ |
$7$ |
$( 1 - 4 x + 7 x^{2} )( 1 + x + 7 x^{2} )$ |
$2$ |
$0$ |
$5$ |
$36$ |
1.7.ae $\times$ 1.7.b |
2.7.ad_l |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 3 x + 11 x^{2} - 21 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$5$ |
$37$ |
simple |
2.7.ad_m |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 3 x + 12 x^{2} - 21 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$5$ |
$38$ |
simple |
2.7.ad_n |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 3 x + 13 x^{2} - 21 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$5$ |
$39$ |
simple |
2.7.ad_o |
$2$ |
$\F_{7}$ |
$7$ |
$( 1 - 3 x + 7 x^{2} )( 1 + 7 x^{2} )$ |
$1$ |
$1$ |
$5$ |
$40$ |
1.7.ad $\times$ 1.7.a |
2.7.ad_p |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 3 x + 15 x^{2} - 21 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$5$ |
$41$ |
simple |
2.7.ad_q |
$2$ |
$\F_{7}$ |
$7$ |
$( 1 - 2 x + 7 x^{2} )( 1 - x + 7 x^{2} )$ |
$2$ |
$0$ |
$5$ |
$42$ |
1.7.ac $\times$ 1.7.ab |
2.7.ac_ad |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 2 x - 3 x^{2} - 14 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$6$ |
$31$ |
simple |
2.7.ac_ac |
$2$ |
$\F_{7}$ |
$7$ |
$1 - 2 x - 2 x^{2} - 14 x^{3} + 49 x^{4}$ |
$2$ |
$0$ |
$6$ |
$32$ |
simple |
2.7.ac_ab |
$2$ |
$\F_{7}$ |
$7$ |
$( 1 - 5 x + 7 x^{2} )( 1 + 3 x + 7 x^{2} )$ |
$2$ |
$0$ |
$6$ |
$33$ |
1.7.af $\times$ 1.7.d |