Abelian variety search results

Results (1-50 of 960820 matches)

 

Label	Dimension	Base field	Base char.	L-polynomial	$p$-rank	$p$-rank deficit	points on curve	points on variety	Isogeny factors
3.2.ad_f_ah	$3$	$\F_{2}$	$2$	$1 - 3 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 12 x^{5} + 8 x^{6}$	$3$	$0$	$0$	$2$	simple
3.2.ad_g_aj	$3$	$\F_{2}$	$2$	$1 - 3 x + 6 x^{2} - 9 x^{3} + 12 x^{4} - 12 x^{5} + 8 x^{6}$	$3$	$0$	$0$	$3$	simple
3.2.ac_a_d	$3$	$\F_{2}$	$2$	$1 - 2 x + 3 x^{3} - 8 x^{5} + 8 x^{6}$	$3$	$0$	$1$	$2$	simple
3.2.ac_b_a	$3$	$\F_{2}$	$2$	$1 - 2 x + x^{2} + 2 x^{4} - 8 x^{5} + 8 x^{6}$	$2$	$1$	$1$	$2$	simple
3.2.ac_b_b	$3$	$\F_{2}$	$2$	$1 - 2 x + x^{2} + x^{3} + 2 x^{4} - 8 x^{5} + 8 x^{6}$	$3$	$0$	$1$	$3$	simple
3.2.ac_c_ac	$3$	$\F_{2}$	$2$	$1 - 2 x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6}$	$0$	$3$	$1$	$3$	simple
3.2.ac_c_ab	$3$	$\F_{2}$	$2$	$1 - 2 x + 2 x^{2} - x^{3} + 4 x^{4} - 8 x^{5} + 8 x^{6}$	$3$	$0$	$1$	$4$	simple
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_af	$3$	$\F_{2}$	$2$	$1 - 2 x + 3 x^{2} - 5 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6}$	$3$	$0$	$1$	$3$	simple
3.2.ac_d_ad	$3$	$\F_{2}$	$2$	$1 - 2 x + 3 x^{2} - 3 x^{3} + 6 x^{4} - 8 x^{5} + 8 x^{6}$	$3$	$0$	$1$	$5$	simple
3.2.ac_e_ag	$3$	$\F_{2}$	$2$	$1 - 2 x + 4 x^{2} - 6 x^{3} + 8 x^{4} - 8 x^{5} + 8 x^{6}$	$0$	$3$	$1$	$5$	simple
3.2.ac_f_ah	$3$	$\F_{2}$	$2$	$1 - 2 x + 5 x^{2} - 7 x^{3} + 10 x^{4} - 8 x^{5} + 8 x^{6}$	$3$	$0$	$1$	$7$	simple
3.2.ab_ab_c	$3$	$\F_{2}$	$2$	$1 - x - x^{2} + 2 x^{3} - 2 x^{4} - 4 x^{5} + 8 x^{6}$	$2$	$1$	$2$	$3$	simple
3.2.ab_ab_e	$3$	$\F_{2}$	$2$	$1 - x - x^{2} + 4 x^{3} - 2 x^{4} - 4 x^{5} + 8 x^{6}$	$2$	$1$	$2$	$5$	simple
3.2.ab_ab_f	$3$	$\F_{2}$	$2$	$1 - x - x^{2} + 5 x^{3} - 2 x^{4} - 4 x^{5} + 8 x^{6}$	$3$	$0$	$2$	$6$	simple
3.2.ab_a_ab	$3$	$\F_{2}$	$2$	$1 - x - x^{3} - 4 x^{5} + 8 x^{6}$	$3$	$0$	$2$	$3$	simple
3.2.ab_a_a	$3$	$\F_{2}$	$2$	$1 - x - 4 x^{5} + 8 x^{6}$	$1$	$2$	$2$	$4$	simple
3.2.ab_a_b	$3$	$\F_{2}$	$2$	$1 - x + x^{3} - 4 x^{5} + 8 x^{6}$	$3$	$0$	$2$	$5$	simple
3.2.ab_a_d	$3$	$\F_{2}$	$2$	$1 - x + 3 x^{3} - 4 x^{5} + 8 x^{6}$	$3$	$0$	$2$	$7$	simple
3.2.ab_b_ad	$3$	$\F_{2}$	$2$	$1 - x + x^{2} - 3 x^{3} + 2 x^{4} - 4 x^{5} + 8 x^{6}$	$3$	$0$	$2$	$4$	simple
3.2.ab_b_ab	$3$	$\F_{2}$	$2$	$1 - x + x^{2} - x^{3} + 2 x^{4} - 4 x^{5} + 8 x^{6}$	$3$	$0$	$2$	$6$	simple
3.2.ab_b_a	$3$	$\F_{2}$	$2$	$1 - x + x^{2} + 2 x^{4} - 4 x^{5} + 8 x^{6}$	$2$	$1$	$2$	$7$	simple
3.2.ab_c_af	$3$	$\F_{2}$	$2$	$1 - x + 2 x^{2} - 5 x^{3} + 4 x^{4} - 4 x^{5} + 8 x^{6}$	$3$	$0$	$2$	$5$	simple
3.2.ab_c_ad	$3$	$\F_{2}$	$2$	$1 - x + 2 x^{2} - 3 x^{3} + 4 x^{4} - 4 x^{5} + 8 x^{6}$	$3$	$0$	$2$	$7$	simple
3.2.ab_c_ac	$3$	$\F_{2}$	$2$	$1 - x + 2 x^{2} - 2 x^{3} + 4 x^{4} - 4 x^{5} + 8 x^{6}$	$1$	$2$	$2$	$8$	simple
3.2.ab_c_ab	$3$	$\F_{2}$	$2$	$1 - x + 2 x^{2} - x^{3} + 4 x^{4} - 4 x^{5} + 8 x^{6}$	$3$	$0$	$2$	$9$	simple
3.2.ab_d_ad	$3$	$\F_{2}$	$2$	$1 - x + 3 x^{2} - 3 x^{3} + 6 x^{4} - 4 x^{5} + 8 x^{6}$	$3$	$0$	$2$	$10$	simple
3.2.ab_e_ad	$3$	$\F_{2}$	$2$	$1 - x + 4 x^{2} - 3 x^{3} + 8 x^{4} - 4 x^{5} + 8 x^{6}$	$3$	$0$	$2$	$13$	simple
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_ab	$3$	$\F_{2}$	$2$	$1 - x^{2} - x^{3} - 2 x^{4} + 8 x^{6}$	$3$	$0$	$3$	$5$	simple
3.2.a_ab_b	$3$	$\F_{2}$	$2$	$1 - x^{2} + x^{3} - 2 x^{4} + 8 x^{6}$	$3$	$0$	$3$	$7$	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_a_ac	$3$	$\F_{2}$	$2$	$1 - 2 x^{3} + 8 x^{6}$	$0$	$3$	$3$	$7$	simple
3.2.a_a_c	$3$	$\F_{2}$	$2$	$1 + 2 x^{3} + 8 x^{6}$	$0$	$3$	$3$	$11$	simple
3.2.a_b_ad	$3$	$\F_{2}$	$2$	$1 + x^{2} - 3 x^{3} + 2 x^{4} + 8 x^{6}$	$3$	$0$	$3$	$9$	simple
3.2.a_b_ab	$3$	$\F_{2}$	$2$	$1 + x^{2} - x^{3} + 2 x^{4} + 8 x^{6}$	$3$	$0$	$3$	$11$	simple
3.2.a_b_b	$3$	$\F_{2}$	$2$	$1 + x^{2} + x^{3} + 2 x^{4} + 8 x^{6}$	$3$	$0$	$3$	$13$	simple
3.2.a_b_d	$3$	$\F_{2}$	$2$	$1 + x^{2} + 3 x^{3} + 2 x^{4} + 8 x^{6}$	$3$	$0$	$3$	$15$	simple
3.2.a_c_ac	$3$	$\F_{2}$	$2$	$1 + 2 x^{2} - 2 x^{3} + 4 x^{4} + 8 x^{6}$	$0$	$3$	$3$	$13$	simple
3.2.a_c_ab	$3$	$\F_{2}$	$2$	$1 + 2 x^{2} - x^{3} + 4 x^{4} + 8 x^{6}$	$3$	$0$	$3$	$14$	simple
3.2.a_c_b	$3$	$\F_{2}$	$2$	$1 + 2 x^{2} + x^{3} + 4 x^{4} + 8 x^{6}$	$3$	$0$	$3$	$16$	simple
3.2.a_c_c	$3$	$\F_{2}$	$2$	$1 + 2 x^{2} + 2 x^{3} + 4 x^{4} + 8 x^{6}$	$0$	$3$	$3$	$17$	simple
3.2.a_d_ab	$3$	$\F_{2}$	$2$	$1 + 3 x^{2} - x^{3} + 6 x^{4} + 8 x^{6}$	$3$	$0$	$3$	$17$	simple
3.2.a_d_b	$3$	$\F_{2}$	$2$	$1 + 3 x^{2} + x^{3} + 6 x^{4} + 8 x^{6}$	$3$	$0$	$3$	$19$	simple
3.2.b_ab_af	$3$	$\F_{2}$	$2$	$1 + x - x^{2} - 5 x^{3} - 2 x^{4} + 4 x^{5} + 8 x^{6}$	$3$	$0$	$4$	$6$	simple
3.2.b_ab_ae	$3$	$\F_{2}$	$2$	$1 + x - x^{2} - 4 x^{3} - 2 x^{4} + 4 x^{5} + 8 x^{6}$	$2$	$1$	$4$	$7$	simple
3.2.b_ab_ac	$3$	$\F_{2}$	$2$	$1 + x - x^{2} - 2 x^{3} - 2 x^{4} + 4 x^{5} + 8 x^{6}$	$2$	$1$	$4$	$9$	simple
3.2.b_a_ad	$3$	$\F_{2}$	$2$	$1 + x - 3 x^{3} + 4 x^{5} + 8 x^{6}$	$3$	$0$	$4$	$11$	simple
3.2.b_a_ab	$3$	$\F_{2}$	$2$	$1 + x - x^{3} + 4 x^{5} + 8 x^{6}$	$3$	$0$	$4$	$13$	simple
3.2.b_a_a	$3$	$\F_{2}$	$2$	$1 + x + 4 x^{5} + 8 x^{6}$	$1$	$2$	$4$	$14$	simple