Abelian variety search results

Note: Search results may be incomplete due to uncomputed quantities: jacobian_count (2316480 objects)

Results (15 matches)

 

Label	Dimension	Base field	Base char.	L-polynomial	$p$-rank	$p$-rank deficit	points on curve	points on variety	Isogeny factors
2.2.ae_i	$2$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )^{2}$	$0$	$2$	$-1$	$1$	1.2.ac^2
2.2.ad_g	$2$	$\F_{2}$	$2$	$( 1 - 2 x + 2 x^{2} )( 1 - x + 2 x^{2} )$	$1$	$1$	$0$	$2$	1.2.ac $\times$ 1.2.ab
2.2.ac_f	$2$	$\F_{2}$	$2$	$( 1 - x + 2 x^{2} )^{2}$	$2$	$0$	$1$	$4$	1.2.ab^2
2.2.ab_ab	$2$	$\F_{2}$	$2$	$1 - x - x^{2} - 2 x^{3} + 4 x^{4}$	$2$	$0$	$2$	$1$	simple
2.2.ab_e	$2$	$\F_{2}$	$2$	$( 1 - x + 2 x^{2} )( 1 + 2 x^{2} )$	$1$	$1$	$2$	$6$	1.2.ab $\times$ 1.2.a
2.2.a_ae	$2$	$\F_{2}$	$2$	$( 1 - 2 x^{2} )^{2}$	$0$	$2$	$3$	$1$	simple
2.2.a_ad	$2$	$\F_{2}$	$2$	$1 - 3 x^{2} + 4 x^{4}$	$2$	$0$	$3$	$2$	simple
2.2.a_ac	$2$	$\F_{2}$	$2$	$1 - 2 x^{2} + 4 x^{4}$	$0$	$2$	$3$	$3$	simple
2.2.a_d	$2$	$\F_{2}$	$2$	$( 1 - x + 2 x^{2} )( 1 + x + 2 x^{2} )$	$2$	$0$	$3$	$8$	1.2.ab $\times$ 1.2.b
2.2.a_e	$2$	$\F_{2}$	$2$	$( 1 + 2 x^{2} )^{2}$	$0$	$2$	$3$	$9$	1.2.a^2
2.2.b_ab	$2$	$\F_{2}$	$2$	$1 + x - x^{2} + 2 x^{3} + 4 x^{4}$	$2$	$0$	$4$	$7$	simple
2.2.b_e	$2$	$\F_{2}$	$2$	$( 1 + 2 x^{2} )( 1 + x + 2 x^{2} )$	$1$	$1$	$4$	$12$	1.2.a $\times$ 1.2.b
2.2.c_f	$2$	$\F_{2}$	$2$	$( 1 + x + 2 x^{2} )^{2}$	$2$	$0$	$5$	$16$	1.2.b^2
2.2.d_g	$2$	$\F_{2}$	$2$	$( 1 + x + 2 x^{2} )( 1 + 2 x + 2 x^{2} )$	$1$	$1$	$6$	$20$	1.2.b $\times$ 1.2.c
2.2.e_i	$2$	$\F_{2}$	$2$	$( 1 + 2 x + 2 x^{2} )^{2}$	$0$	$2$	$7$	$25$	1.2.c^2