Abelian variety search results

Results (20 matches)

 

Label	Dimension	Base field	Base char.	L-polynomial	$p$-rank	$p$-rank deficit	points on curve	points on variety	Isogeny factors
2.2.ad_f	$2$	$\F_{2}$	$2$	$1 - 3 x + 5 x^{2} - 6 x^{3} + 4 x^{4}$	$2$	$0$	$0$	$1$	simple
2.2.ac_c	$2$	$\F_{2}$	$2$	$1 - 2 x + 2 x^{2} - 4 x^{3} + 4 x^{4}$	$0$	$2$	$1$	$1$	simple
2.2.ac_d	$2$	$\F_{2}$	$2$	$1 - 2 x + 3 x^{2} - 4 x^{3} + 4 x^{4}$	$2$	$0$	$1$	$2$	simple
2.2.ac_e	$2$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )( 1 + 2 x^{2} )$	$0$	$2$	$1$	$3$	1.2.ac $\times$ 1.2.a
2.2.ab_a	$2$	$\F_{2}$	$2$	$1 - x - 2 x^{3} + 4 x^{4}$	$1$	$1$	$2$	$2$	simple
2.2.ab_b	$2$	$\F_{2}$	$2$	$1 - x + x^{2} - 2 x^{3} + 4 x^{4}$	$2$	$0$	$2$	$3$	simple
2.2.ab_c	$2$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )( 1 + x + 2 x^{2} )$	$1$	$1$	$2$	$4$	1.2.ac $\times$ 1.2.b
2.2.ab_d	$2$	$\F_{2}$	$2$	$1 - x + 3 x^{2} - 2 x^{3} + 4 x^{4}$	$2$	$0$	$2$	$5$	simple
2.2.a_ab	$2$	$\F_{2}$	$2$	$1 - x^{2} + 4 x^{4}$	$2$	$0$	$3$	$4$	simple
2.2.a_a	$2$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )$	$0$	$2$	$3$	$5$	1.2.ac $\times$ 1.2.c
2.2.a_b	$2$	$\F_{2}$	$2$	$1 + x^{2} + 4 x^{4}$	$2$	$0$	$3$	$6$	simple
2.2.a_c	$2$	$\F_{2}$	$2$	$1 + 2 x^{2} + 4 x^{4}$	$0$	$2$	$3$	$7$	simple
2.2.b_a	$2$	$\F_{2}$	$2$	$1 + x + 2 x^{3} + 4 x^{4}$	$1$	$1$	$4$	$8$	simple
2.2.b_b	$2$	$\F_{2}$	$2$	$1 + x + x^{2} + 2 x^{3} + 4 x^{4}$	$2$	$0$	$4$	$9$	simple
2.2.b_c	$2$	$\F_{2}$	$2$	$( 1 - x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )$	$1$	$1$	$4$	$10$	1.2.ab $\times$ 1.2.c
2.2.b_d	$2$	$\F_{2}$	$2$	$1 + x + 3 x^{2} + 2 x^{3} + 4 x^{4}$	$2$	$0$	$4$	$11$	simple
2.2.c_c	$2$	$\F_{2}$	$2$	$1 + 2 x + 2 x^{2} + 4 x^{3} + 4 x^{4}$	$0$	$2$	$5$	$13$	simple
2.2.c_d	$2$	$\F_{2}$	$2$	$1 + 2 x + 3 x^{2} + 4 x^{3} + 4 x^{4}$	$2$	$0$	$5$	$14$	simple
2.2.c_e	$2$	$\F_{2}$	$2$	$( 1 + 2 x^{2} )( 1 + 2 x + 2 x^{2} )$	$0$	$2$	$5$	$15$	1.2.a $\times$ 1.2.c
2.2.d_f	$2$	$\F_{2}$	$2$	$1 + 3 x + 5 x^{2} + 6 x^{3} + 4 x^{4}$	$2$	$0$	$6$	$19$	simple