Abelian variety search results

Note: Search results may be incomplete due to uncomputed quantities: hyp_count (2212128 objects)

Results (1-50 of 5830 matches)

 

Label	Dimension	Base field	Base char.	L-polynomial	$p$-rank	$p$-rank deficit	points on curve	points on variety	Isogeny factors
3.9.as_ff_auu	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{6}$	$0$	$3$	$-8$	$64$	1.9.ag^3
3.9.ar_et_ass	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{4}( 1 - 5 x + 9 x^{2} )$	$1$	$2$	$-7$	$80$	1.9.ag^2 $\times$ 1.9.af
3.9.aq_eh_aqq	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{4}( 1 - 4 x + 9 x^{2} )$	$1$	$2$	$-6$	$96$	1.9.ag^2 $\times$ 1.9.ae
3.9.aq_ei_aqw	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 5 x + 9 x^{2} )^{2}$	$2$	$1$	$-6$	$100$	1.9.ag $\times$ 1.9.af^2
3.9.ap_dv_aoo	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{4}( 1 - 3 x + 9 x^{2} )$	$0$	$3$	$-5$	$112$	1.9.ag^2 $\times$ 1.9.ad
3.9.ap_dw_aou	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 9 x + 37 x^{2} - 81 x^{3} + 81 x^{4} )$	$2$	$1$	$-5$	$116$	1.9.ag $\times$ 2.9.aj_bl
3.9.ap_dx_apa	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 5 x + 9 x^{2} )( 1 - 4 x + 9 x^{2} )$	$2$	$1$	$-5$	$120$	1.9.ag $\times$ 1.9.af $\times$ 1.9.ae
3.9.ap_dy_apf	$3$	$\F_{3^{2}}$	$3$	$( 1 - 5 x + 9 x^{2} )^{3}$	$3$	$0$	$-5$	$125$	1.9.af^3
3.9.ao_dj_amm	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{4}( 1 - 2 x + 9 x^{2} )$	$1$	$2$	$-4$	$128$	1.9.ag^2 $\times$ 1.9.ac
3.9.ao_dk_ams	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 8 x + 31 x^{2} - 72 x^{3} + 81 x^{4} )$	$2$	$1$	$-4$	$132$	1.9.ag $\times$ 2.9.ai_bf
3.9.ao_dl_amy	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 8 x + 32 x^{2} - 72 x^{3} + 81 x^{4} )$	$2$	$1$	$-4$	$136$	1.9.ag $\times$ 2.9.ai_bg
3.9.ao_dm_ane	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 5 x + 9 x^{2} )( 1 - 3 x + 9 x^{2} )$	$1$	$2$	$-4$	$140$	1.9.ag $\times$ 1.9.af $\times$ 1.9.ad
3.9.ao_dn_ank	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 4 x + 9 x^{2} )^{2}$	$2$	$1$	$-4$	$144$	1.9.ag $\times$ 1.9.ae^2
3.9.ao_dn_anj	$3$	$\F_{3^{2}}$	$3$	$( 1 - 5 x + 9 x^{2} )( 1 - 9 x + 37 x^{2} - 81 x^{3} + 81 x^{4} )$	$3$	$0$	$-4$	$145$	1.9.af $\times$ 2.9.aj_bl
3.9.ao_do_ano	$3$	$\F_{3^{2}}$	$3$	$( 1 - 4 x + 9 x^{2} )( 1 - 5 x + 9 x^{2} )^{2}$	$3$	$0$	$-4$	$150$	1.9.af^2 $\times$ 1.9.ae
3.9.an_cx_akk	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{4}( 1 - x + 9 x^{2} )$	$1$	$2$	$-3$	$144$	1.9.ag^2 $\times$ 1.9.ab
3.9.an_cy_akq	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 7 x + 25 x^{2} - 63 x^{3} + 81 x^{4} )$	$2$	$1$	$-3$	$148$	1.9.ag $\times$ 2.9.ah_z
3.9.an_cz_akw	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 7 x + 26 x^{2} - 63 x^{3} + 81 x^{4} )$	$2$	$1$	$-3$	$152$	1.9.ag $\times$ 2.9.ah_ba
3.9.an_da_alc	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 7 x + 27 x^{2} - 63 x^{3} + 81 x^{4} )$	$1$	$2$	$-3$	$156$	1.9.ag $\times$ 2.9.ah_bb
3.9.an_db_ali	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 5 x + 9 x^{2} )( 1 - 2 x + 9 x^{2} )$	$2$	$1$	$-3$	$160$	1.9.ag $\times$ 1.9.af $\times$ 1.9.ac
3.9.an_dc_alo	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 7 x + 29 x^{2} - 63 x^{3} + 81 x^{4} )$	$2$	$1$	$-3$	$164$	1.9.ag $\times$ 2.9.ah_bd
3.9.an_dc_aln	$3$	$\F_{3^{2}}$	$3$	$( 1 - 5 x + 9 x^{2} )( 1 - 8 x + 31 x^{2} - 72 x^{3} + 81 x^{4} )$	$3$	$0$	$-3$	$165$	1.9.af $\times$ 2.9.ai_bf
3.9.an_dd_alu	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 4 x + 9 x^{2} )( 1 - 3 x + 9 x^{2} )$	$1$	$2$	$-3$	$168$	1.9.ag $\times$ 1.9.ae $\times$ 1.9.ad
3.9.an_dd_alt	$3$	$\F_{3^{2}}$	$3$	$1 - 13 x + 81 x^{2} - 305 x^{3} + 729 x^{4} - 1053 x^{5} + 729 x^{6}$	$3$	$0$	$-3$	$169$	simple
3.9.an_dd_als	$3$	$\F_{3^{2}}$	$3$	$( 1 - 5 x + 9 x^{2} )( 1 - 8 x + 32 x^{2} - 72 x^{3} + 81 x^{4} )$	$3$	$0$	$-3$	$170$	1.9.af $\times$ 2.9.ai_bg
3.9.an_de_aly	$3$	$\F_{3^{2}}$	$3$	$( 1 - 4 x + 9 x^{2} )( 1 - 9 x + 37 x^{2} - 81 x^{3} + 81 x^{4} )$	$3$	$0$	$-3$	$174$	1.9.ae $\times$ 2.9.aj_bl
3.9.an_de_alx	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x + 9 x^{2} )( 1 - 5 x + 9 x^{2} )^{2}$	$2$	$1$	$-3$	$175$	1.9.af^2 $\times$ 1.9.ad
3.9.an_df_amc	$3$	$\F_{3^{2}}$	$3$	$( 1 - 5 x + 9 x^{2} )( 1 - 4 x + 9 x^{2} )^{2}$	$3$	$0$	$-3$	$180$	1.9.af $\times$ 1.9.ae^2
3.9.am_cl_aii	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{4}( 1 + 9 x^{2} )$	$0$	$3$	$-2$	$160$	1.9.ag^2 $\times$ 1.9.a
3.9.am_cm_aio	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 6 x + 19 x^{2} - 54 x^{3} + 81 x^{4} )$	$2$	$1$	$-2$	$164$	1.9.ag $\times$ 2.9.ag_t
3.9.am_cn_aiu	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 6 x + 20 x^{2} - 54 x^{3} + 81 x^{4} )$	$2$	$1$	$-2$	$168$	1.9.ag $\times$ 2.9.ag_u
3.9.am_cp_ajg	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 6 x + 22 x^{2} - 54 x^{3} + 81 x^{4} )$	$2$	$1$	$-2$	$176$	1.9.ag $\times$ 2.9.ag_w
3.9.am_cq_ajm	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 5 x + 9 x^{2} )( 1 - x + 9 x^{2} )$	$2$	$1$	$-2$	$180$	1.9.ag $\times$ 1.9.af $\times$ 1.9.ab
3.9.am_cq_ajl	$3$	$\F_{3^{2}}$	$3$	$1 - 12 x + 68 x^{2} - 245 x^{3} + 612 x^{4} - 972 x^{5} + 729 x^{6}$	$3$	$0$	$-2$	$181$	simple
3.9.am_cr_ajr	$3$	$\F_{3^{2}}$	$3$	$( 1 - 5 x + 9 x^{2} )( 1 - 7 x + 25 x^{2} - 63 x^{3} + 81 x^{4} )$	$3$	$0$	$-2$	$185$	1.9.af $\times$ 2.9.ah_z
3.9.am_cs_ajy	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 6 x + 25 x^{2} - 54 x^{3} + 81 x^{4} )$	$2$	$1$	$-2$	$188$	1.9.ag $\times$ 2.9.ag_z
3.9.am_cs_ajx	$3$	$\F_{3^{2}}$	$3$	$1 - 12 x + 70 x^{2} - 257 x^{3} + 630 x^{4} - 972 x^{5} + 729 x^{6}$	$3$	$0$	$-2$	$189$	simple
3.9.am_cs_ajw	$3$	$\F_{3^{2}}$	$3$	$( 1 - 5 x + 9 x^{2} )( 1 - 7 x + 26 x^{2} - 63 x^{3} + 81 x^{4} )$	$3$	$0$	$-2$	$190$	1.9.af $\times$ 2.9.ah_ba
3.9.am_ct_ake	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 4 x + 9 x^{2} )( 1 - 2 x + 9 x^{2} )$	$2$	$1$	$-2$	$192$	1.9.ag $\times$ 1.9.ae $\times$ 1.9.ac
3.9.am_ct_akd	$3$	$\F_{3^{2}}$	$3$	$1 - 12 x + 71 x^{2} - 263 x^{3} + 639 x^{4} - 972 x^{5} + 729 x^{6}$	$3$	$0$	$-2$	$193$	simple
3.9.am_ct_akc	$3$	$\F_{3^{2}}$	$3$	$1 - 12 x + 71 x^{2} - 262 x^{3} + 639 x^{4} - 972 x^{5} + 729 x^{6}$	$3$	$0$	$-2$	$194$	simple
3.9.am_ct_akb	$3$	$\F_{3^{2}}$	$3$	$( 1 - 5 x + 9 x^{2} )( 1 - 7 x + 27 x^{2} - 63 x^{3} + 81 x^{4} )$	$2$	$1$	$-2$	$195$	1.9.af $\times$ 2.9.ah_bb
3.9.am_cu_akk	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 3 x + 9 x^{2} )^{2}$	$0$	$3$	$-2$	$196$	1.9.ag $\times$ 1.9.ad^2
3.9.am_cu_akj	$3$	$\F_{3^{2}}$	$3$	$1 - 12 x + 72 x^{2} - 269 x^{3} + 648 x^{4} - 972 x^{5} + 729 x^{6}$	$3$	$0$	$-2$	$197$	simple
3.9.am_cu_aki	$3$	$\F_{3^{2}}$	$3$	$( 1 - 4 x + 9 x^{2} )( 1 - 8 x + 31 x^{2} - 72 x^{3} + 81 x^{4} )$	$3$	$0$	$-2$	$198$	1.9.ae $\times$ 2.9.ai_bf
3.9.am_cu_akg	$3$	$\F_{3^{2}}$	$3$	$( 1 - 2 x + 9 x^{2} )( 1 - 5 x + 9 x^{2} )^{2}$	$3$	$0$	$-2$	$200$	1.9.af^2 $\times$ 1.9.ac
3.9.am_cv_akn	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x + 9 x^{2} )( 1 - 9 x + 37 x^{2} - 81 x^{3} + 81 x^{4} )$	$2$	$1$	$-2$	$203$	1.9.ad $\times$ 2.9.aj_bl
3.9.am_cv_akm	$3$	$\F_{3^{2}}$	$3$	$( 1 - 4 x + 9 x^{2} )( 1 - 8 x + 32 x^{2} - 72 x^{3} + 81 x^{4} )$	$3$	$0$	$-2$	$204$	1.9.ae $\times$ 2.9.ai_bg
3.9.am_cv_akl	$3$	$\F_{3^{2}}$	$3$	$( 1 - 5 x + 9 x^{2} )( 1 - 7 x + 29 x^{2} - 63 x^{3} + 81 x^{4} )$	$3$	$0$	$-2$	$205$	1.9.af $\times$ 2.9.ah_bd
3.9.am_cw_akq	$3$	$\F_{3^{2}}$	$3$	$( 1 - 5 x + 9 x^{2} )( 1 - 4 x + 9 x^{2} )( 1 - 3 x + 9 x^{2} )$	$2$	$1$	$-2$	$210$	1.9.af $\times$ 1.9.ae $\times$ 1.9.ad