Abelian variety search results

Results (35 matches)

 

Label	Dimension	Base field	Base char.	L-polynomial	$p$-rank	$p$-rank deficit	points on curve	points on variety	Isogeny factors
2.9.am_cc	$2$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{4}$	$0$	$2$	$-2$	$16$	1.9.ag^2
2.9.al_bw	$2$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 5 x + 9 x^{2} )$	$1$	$1$	$-1$	$20$	1.9.ag $\times$ 1.9.af
2.9.ak_bq	$2$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 4 x + 9 x^{2} )$	$1$	$1$	$0$	$24$	1.9.ag $\times$ 1.9.ae
2.9.aj_bk	$2$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 3 x + 9 x^{2} )$	$0$	$2$	$1$	$28$	1.9.ag $\times$ 1.9.ad
2.9.aj_bm	$2$	$\F_{3^{2}}$	$3$	$( 1 - 5 x + 9 x^{2} )( 1 - 4 x + 9 x^{2} )$	$2$	$0$	$1$	$30$	1.9.af $\times$ 1.9.ae
2.9.ah_y	$2$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - x + 9 x^{2} )$	$1$	$1$	$3$	$36$	1.9.ag $\times$ 1.9.ab
2.9.ah_be	$2$	$\F_{3^{2}}$	$3$	$( 1 - 4 x + 9 x^{2} )( 1 - 3 x + 9 x^{2} )$	$1$	$1$	$3$	$42$	1.9.ae $\times$ 1.9.ad
2.9.ag_s	$2$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 + 9 x^{2} )$	$0$	$2$	$4$	$40$	1.9.ag $\times$ 1.9.a
2.9.af_m	$2$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 + x + 9 x^{2} )$	$1$	$1$	$5$	$44$	1.9.ag $\times$ 1.9.b
2.9.af_y	$2$	$\F_{3^{2}}$	$3$	$( 1 - 3 x + 9 x^{2} )( 1 - 2 x + 9 x^{2} )$	$1$	$1$	$5$	$56$	1.9.ad $\times$ 1.9.ac
2.9.ad_s	$2$	$\F_{3^{2}}$	$3$	$( 1 - 3 x + 9 x^{2} )( 1 + 9 x^{2} )$	$0$	$2$	$7$	$70$	1.9.ad $\times$ 1.9.a
2.9.ad_u	$2$	$\F_{3^{2}}$	$3$	$( 1 - 2 x + 9 x^{2} )( 1 - x + 9 x^{2} )$	$2$	$0$	$7$	$72$	1.9.ac $\times$ 1.9.ab
2.9.ac_ag	$2$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 + 4 x + 9 x^{2} )$	$1$	$1$	$8$	$56$	1.9.ag $\times$ 1.9.e
2.9.ab_am	$2$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 + 5 x + 9 x^{2} )$	$1$	$1$	$9$	$60$	1.9.ag $\times$ 1.9.f
2.9.ab_s	$2$	$\F_{3^{2}}$	$3$	$( 1 - x + 9 x^{2} )( 1 + 9 x^{2} )$	$1$	$1$	$9$	$90$	1.9.ab $\times$ 1.9.a
2.9.a_as	$2$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 + 3 x )^{2}$	$0$	$2$	$10$	$64$	1.9.ag $\times$ 1.9.g
2.9.a_ar	$2$	$\F_{3^{2}}$	$3$	$1 - 17 x^{2} + 81 x^{4}$	$2$	$0$	$10$	$65$	simple
2.9.a_aq	$2$	$\F_{3^{2}}$	$3$	$1 - 16 x^{2} + 81 x^{4}$	$2$	$0$	$10$	$66$	simple
2.9.a_aj	$2$	$\F_{3^{2}}$	$3$	$1 - 9 x^{2} + 81 x^{4}$	$0$	$2$	$10$	$73$	simple
2.9.a_j	$2$	$\F_{3^{2}}$	$3$	$( 1 - 3 x + 9 x^{2} )( 1 + 3 x + 9 x^{2} )$	$0$	$2$	$10$	$91$	1.9.ad $\times$ 1.9.d
2.9.b_am	$2$	$\F_{3^{2}}$	$3$	$( 1 + 3 x )^{2}( 1 - 5 x + 9 x^{2} )$	$1$	$1$	$11$	$80$	1.9.af $\times$ 1.9.g
2.9.b_s	$2$	$\F_{3^{2}}$	$3$	$( 1 + 9 x^{2} )( 1 + x + 9 x^{2} )$	$1$	$1$	$11$	$110$	1.9.a $\times$ 1.9.b
2.9.c_ag	$2$	$\F_{3^{2}}$	$3$	$( 1 + 3 x )^{2}( 1 - 4 x + 9 x^{2} )$	$1$	$1$	$12$	$96$	1.9.ae $\times$ 1.9.g
2.9.d_s	$2$	$\F_{3^{2}}$	$3$	$( 1 + 9 x^{2} )( 1 + 3 x + 9 x^{2} )$	$0$	$2$	$13$	$130$	1.9.a $\times$ 1.9.d
2.9.d_u	$2$	$\F_{3^{2}}$	$3$	$( 1 + x + 9 x^{2} )( 1 + 2 x + 9 x^{2} )$	$2$	$0$	$13$	$132$	1.9.b $\times$ 1.9.c
2.9.f_m	$2$	$\F_{3^{2}}$	$3$	$( 1 + 3 x )^{2}( 1 - x + 9 x^{2} )$	$1$	$1$	$15$	$144$	1.9.ab $\times$ 1.9.g
2.9.f_y	$2$	$\F_{3^{2}}$	$3$	$( 1 + 2 x + 9 x^{2} )( 1 + 3 x + 9 x^{2} )$	$1$	$1$	$15$	$156$	1.9.c $\times$ 1.9.d
2.9.g_s	$2$	$\F_{3^{2}}$	$3$	$( 1 + 3 x )^{2}( 1 + 9 x^{2} )$	$0$	$2$	$16$	$160$	1.9.a $\times$ 1.9.g
2.9.h_y	$2$	$\F_{3^{2}}$	$3$	$( 1 + 3 x )^{2}( 1 + x + 9 x^{2} )$	$1$	$1$	$17$	$176$	1.9.b $\times$ 1.9.g
2.9.h_be	$2$	$\F_{3^{2}}$	$3$	$( 1 + 3 x + 9 x^{2} )( 1 + 4 x + 9 x^{2} )$	$1$	$1$	$17$	$182$	1.9.d $\times$ 1.9.e
2.9.j_bk	$2$	$\F_{3^{2}}$	$3$	$( 1 + 3 x )^{2}( 1 + 3 x + 9 x^{2} )$	$0$	$2$	$19$	$208$	1.9.d $\times$ 1.9.g
2.9.j_bm	$2$	$\F_{3^{2}}$	$3$	$( 1 + 4 x + 9 x^{2} )( 1 + 5 x + 9 x^{2} )$	$2$	$0$	$19$	$210$	1.9.e $\times$ 1.9.f
2.9.k_bq	$2$	$\F_{3^{2}}$	$3$	$( 1 + 3 x )^{2}( 1 + 4 x + 9 x^{2} )$	$1$	$1$	$20$	$224$	1.9.e $\times$ 1.9.g
2.9.l_bw	$2$	$\F_{3^{2}}$	$3$	$( 1 + 3 x )^{2}( 1 + 5 x + 9 x^{2} )$	$1$	$1$	$21$	$240$	1.9.f $\times$ 1.9.g
2.9.m_cc	$2$	$\F_{3^{2}}$	$3$	$( 1 + 3 x )^{4}$	$0$	$2$	$22$	$256$	1.9.g^2