Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
2.128.abr_bbp |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$1 - 43 x + 717 x^{2} - 5504 x^{3} + 16384 x^{4}$ |
$2$ |
$0$ |
$86$ |
$11555$ |
simple |
2.128.abp_zw |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$1 - 41 x + 672 x^{2} - 5248 x^{3} + 16384 x^{4}$ |
$1$ |
$1$ |
$88$ |
$11768$ |
simple |
2.128.abn_yl |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$1 - 39 x + 635 x^{2} - 4992 x^{3} + 16384 x^{4}$ |
$2$ |
$0$ |
$90$ |
$11989$ |
simple |
2.128.abg_ts |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$( 1 - 16 x + 128 x^{2} )^{2}$ |
$0$ |
$2$ |
$97$ |
$12769$ |
1.128.aq 2 |
2.128.abd_rw |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$( 1 - 16 x + 128 x^{2} )( 1 - 13 x + 128 x^{2} )$ |
$1$ |
$1$ |
$100$ |
$13108$ |
1.128.aq $\times$ 1.128.an |
2.128.aba_qj |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$( 1 - 13 x + 128 x^{2} )^{2}$ |
$2$ |
$0$ |
$103$ |
$13456$ |
1.128.an 2 |
2.128.aq_ey |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$1 - 16 x + 128 x^{2} - 2048 x^{3} + 16384 x^{4}$ |
$0$ |
$2$ |
$113$ |
$14449$ |
simple |
2.128.aq_jw |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$( 1 - 16 x + 128 x^{2} )( 1 + 128 x^{2} )$ |
$0$ |
$2$ |
$113$ |
$14577$ |
1.128.aq $\times$ 1.128.a |
2.128.an_bp |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$1 - 13 x + 41 x^{2} - 1664 x^{3} + 16384 x^{4}$ |
$2$ |
$0$ |
$116$ |
$14749$ |
simple |
2.128.an_jw |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$( 1 - 13 x + 128 x^{2} )( 1 + 128 x^{2} )$ |
$1$ |
$1$ |
$116$ |
$14964$ |
1.128.an $\times$ 1.128.a |
2.128.an_lj |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$1 - 13 x + 295 x^{2} - 1664 x^{3} + 16384 x^{4}$ |
$2$ |
$0$ |
$116$ |
$15003$ |
simple |
2.128.ad_bw |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$( 1 - 16 x + 128 x^{2} )( 1 + 13 x + 128 x^{2} )$ |
$1$ |
$1$ |
$126$ |
$16046$ |
1.128.aq $\times$ 1.128.n |
2.128.ac_add |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$1 - 2 x - 81 x^{2} - 256 x^{3} + 16384 x^{4}$ |
$2$ |
$0$ |
$127$ |
$16046$ |
simple |
2.128.a_ajw |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$( 1 - 128 x^{2} )^{2}$ |
$0$ |
$2$ |
$129$ |
$16129$ |
simple |
2.128.a_ajr |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$1 - 251 x^{2} + 16384 x^{4}$ |
$2$ |
$0$ |
$129$ |
$16134$ |
simple |
2.128.a_aey |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$1 - 128 x^{2} + 16384 x^{4}$ |
$0$ |
$2$ |
$129$ |
$16257$ |
simple |
2.128.a_adj |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$1 - 87 x^{2} + 16384 x^{4}$ |
$2$ |
$0$ |
$129$ |
$16298$ |
simple |
2.128.a_a |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$( 1 - 16 x + 128 x^{2} )( 1 + 16 x + 128 x^{2} )$ |
$0$ |
$2$ |
$129$ |
$16385$ |
1.128.aq $\times$ 1.128.q |
2.128.a_dj |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$( 1 - 13 x + 128 x^{2} )( 1 + 13 x + 128 x^{2} )$ |
$2$ |
$0$ |
$129$ |
$16472$ |
1.128.an $\times$ 1.128.n |
2.128.a_ey |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$1 + 128 x^{2} + 16384 x^{4}$ |
$0$ |
$2$ |
$129$ |
$16513$ |
simple |
2.128.a_jr |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$1 + 251 x^{2} + 16384 x^{4}$ |
$2$ |
$0$ |
$129$ |
$16636$ |
simple |
2.128.a_jw |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$( 1 + 128 x^{2} )^{2}$ |
$0$ |
$2$ |
$129$ |
$16641$ |
1.128.a 2 |
2.128.c_add |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$1 + 2 x - 81 x^{2} + 256 x^{3} + 16384 x^{4}$ |
$2$ |
$0$ |
$131$ |
$16562$ |
simple |
2.128.d_bw |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$( 1 - 13 x + 128 x^{2} )( 1 + 16 x + 128 x^{2} )$ |
$1$ |
$1$ |
$132$ |
$16820$ |
1.128.an $\times$ 1.128.q |
2.128.n_bp |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$1 + 13 x + 41 x^{2} + 1664 x^{3} + 16384 x^{4}$ |
$2$ |
$0$ |
$142$ |
$18103$ |
simple |
2.128.n_jw |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$( 1 + 128 x^{2} )( 1 + 13 x + 128 x^{2} )$ |
$1$ |
$1$ |
$142$ |
$18318$ |
1.128.a $\times$ 1.128.n |
2.128.n_lj |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$1 + 13 x + 295 x^{2} + 1664 x^{3} + 16384 x^{4}$ |
$2$ |
$0$ |
$142$ |
$18357$ |
simple |
2.128.q_ey |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$1 + 16 x + 128 x^{2} + 2048 x^{3} + 16384 x^{4}$ |
$0$ |
$2$ |
$145$ |
$18577$ |
simple |
2.128.q_jw |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$( 1 + 128 x^{2} )( 1 + 16 x + 128 x^{2} )$ |
$0$ |
$2$ |
$145$ |
$18705$ |
1.128.a $\times$ 1.128.q |
2.128.ba_qj |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$( 1 + 13 x + 128 x^{2} )^{2}$ |
$2$ |
$0$ |
$155$ |
$20164$ |
1.128.n 2 |
2.128.bd_rw |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$( 1 + 13 x + 128 x^{2} )( 1 + 16 x + 128 x^{2} )$ |
$1$ |
$1$ |
$158$ |
$20590$ |
1.128.n $\times$ 1.128.q |
2.128.bg_ts |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$( 1 + 16 x + 128 x^{2} )^{2}$ |
$0$ |
$2$ |
$161$ |
$21025$ |
1.128.q 2 |
2.128.bn_yl |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$1 + 39 x + 635 x^{2} + 4992 x^{3} + 16384 x^{4}$ |
$2$ |
$0$ |
$168$ |
$22051$ |
simple |
2.128.bp_zw |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$1 + 41 x + 672 x^{2} + 5248 x^{3} + 16384 x^{4}$ |
$1$ |
$1$ |
$170$ |
$22346$ |
simple |
2.128.br_bbp |
$2$ |
$\F_{2^{7}}$ |
$2$ |
$1 + 43 x + 717 x^{2} + 5504 x^{3} + 16384 x^{4}$ |
$2$ |
$0$ |
$172$ |
$22649$ |
simple |