Abelian variety search results

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

Results (10 matches)

 

Label	Dimension	Base field	Base char.	L-polynomial	$p$-rank	$p$-rank deficit	points on curve	points on variety	Isogeny factors
3.3.ab_a_d	$3$	$\F_{3}$	$3$	$( 1 - 3 x + 3 x^{2} )( 1 - x + 3 x^{2} )( 1 + 3 x + 3 x^{2} )$	$1$	$2$	$3$	$21$	1.3.ad $\times$ 1.3.ab $\times$ 1.3.d
3.3.ab_c_ac	$3$	$\F_{3}$	$3$	$1 - x + 2 x^{2} - 2 x^{3} + 6 x^{4} - 9 x^{5} + 27 x^{6}$	$3$	$0$	$3$	$24$	simple
3.3.ab_c_b	$3$	$\F_{3}$	$3$	$( 1 - x + 3 x^{2} )( 1 - x^{2} + 9 x^{4} )$	$3$	$0$	$3$	$27$	1.3.ab $\times$ 2.3.a_ab
3.3.a_a_a	$3$	$\F_{3}$	$3$	$( 1 - 3 x + 3 x^{2} )( 1 + 3 x^{2} )( 1 + 3 x + 3 x^{2} )$	$0$	$3$	$4$	$28$	1.3.ad $\times$ 1.3.a $\times$ 1.3.d
3.3.a_a_e	$3$	$\F_{3}$	$3$	$1 + 4 x^{3} + 27 x^{6}$	$3$	$0$	$4$	$32$	simple
3.3.a_b_e	$3$	$\F_{3}$	$3$	$1 + x^{2} + 4 x^{3} + 3 x^{4} + 27 x^{6}$	$3$	$0$	$4$	$36$	simple
3.3.a_c_d	$3$	$\F_{3}$	$3$	$1 + 2 x^{2} + 3 x^{3} + 6 x^{4} + 27 x^{6}$	$2$	$1$	$4$	$39$	simple
3.3.a_d_a	$3$	$\F_{3}$	$3$	$( 1 + 3 x^{2} )( 1 + 9 x^{4} )$	$0$	$3$	$4$	$40$	1.3.a $\times$ 2.3.a_a
3.3.b_c_c	$3$	$\F_{3}$	$3$	$1 + x + 2 x^{2} + 2 x^{3} + 6 x^{4} + 9 x^{5} + 27 x^{6}$	$3$	$0$	$5$	$48$	simple
3.3.c_g_i	$3$	$\F_{3}$	$3$	$( 1 + x + 3 x^{2} )( 1 + x + 2 x^{2} + 3 x^{3} + 9 x^{4} )$	$3$	$0$	$6$	$80$	1.3.b $\times$ 2.3.b_c