Abelian variety search results

Results (12 matches)

 

Label	Dimension	Base field	Base char.	L-polynomial	$p$-rank	$p$-rank deficit	points on curve	points on variety	Isogeny factors
2.8.ak_bp	$2$	$\F_{2^{3}}$	$2$	$( 1 - 5 x + 8 x^{2} )^{2}$	$2$	$0$	$-1$	$16$	1.8.af^2
2.8.aj_bk	$2$	$\F_{2^{3}}$	$2$	$( 1 - 5 x + 8 x^{2} )( 1 - 4 x + 8 x^{2} )$	$1$	$1$	$0$	$20$	1.8.af $\times$ 1.8.ae
2.8.ah_bc	$2$	$\F_{2^{3}}$	$2$	$( 1 - 4 x + 8 x^{2} )( 1 - 3 x + 8 x^{2} )$	$1$	$1$	$2$	$30$	1.8.ae $\times$ 1.8.ad
2.8.ab_ah	$2$	$\F_{2^{3}}$	$2$	$1 - x - 7 x^{2} - 8 x^{3} + 64 x^{4}$	$2$	$0$	$8$	$49$	simple
2.8.ab_q	$2$	$\F_{2^{3}}$	$2$	$( 1 - x + 8 x^{2} )( 1 + 8 x^{2} )$	$1$	$1$	$8$	$72$	1.8.ab $\times$ 1.8.a
2.8.a_ap	$2$	$\F_{2^{3}}$	$2$	$1 - 15 x^{2} + 64 x^{4}$	$2$	$0$	$9$	$50$	simple
2.8.a_ai	$2$	$\F_{2^{3}}$	$2$	$1 - 8 x^{2} + 64 x^{4}$	$0$	$2$	$9$	$57$	simple
2.8.b_ah	$2$	$\F_{2^{3}}$	$2$	$1 + x - 7 x^{2} + 8 x^{3} + 64 x^{4}$	$2$	$0$	$10$	$67$	simple
2.8.b_q	$2$	$\F_{2^{3}}$	$2$	$( 1 + 8 x^{2} )( 1 + x + 8 x^{2} )$	$1$	$1$	$10$	$90$	1.8.a $\times$ 1.8.b
2.8.h_bc	$2$	$\F_{2^{3}}$	$2$	$( 1 + 3 x + 8 x^{2} )( 1 + 4 x + 8 x^{2} )$	$1$	$1$	$16$	$156$	1.8.d $\times$ 1.8.e
2.8.j_bk	$2$	$\F_{2^{3}}$	$2$	$( 1 + 4 x + 8 x^{2} )( 1 + 5 x + 8 x^{2} )$	$1$	$1$	$18$	$182$	1.8.e $\times$ 1.8.f
2.8.k_bp	$2$	$\F_{2^{3}}$	$2$	$( 1 + 5 x + 8 x^{2} )^{2}$	$2$	$0$	$19$	$196$	1.8.f^2