Abelian variety search results

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

Results (1-50 of 8815 matches)

 

Label	Dimension	Base field	Base char.	L-polynomial	$p$-rank	$p$-rank deficit	points on curve	points on variety	Isogeny factors
3.13.ao_dv_aqu	$3$	$\F_{13}$	$13$	$( 1 - 2 x + 13 x^{2} )( 1 - 6 x + 13 x^{2} )^{2}$	$3$	$0$	$0$	$768$	1.13.ag^2 $\times$ 1.13.ac
3.13.am_cp_ake	$3$	$\F_{13}$	$13$	$( 1 - 6 x + 13 x^{2} )( 1 - 6 x + 18 x^{2} - 78 x^{3} + 169 x^{4} )$	$3$	$0$	$2$	$832$	1.13.ag $\times$ 2.13.ag_s
3.13.am_cq_akk	$3$	$\F_{13}$	$13$	$( 1 - 7 x + 13 x^{2} )( 1 - 6 x + 13 x^{2} )( 1 + x + 13 x^{2} )$	$3$	$0$	$2$	$840$	1.13.ah $\times$ 1.13.ag $\times$ 1.13.b
3.13.am_ct_alg	$3$	$\F_{13}$	$13$	$1 - 12 x + 71 x^{2} - 292 x^{3} + 923 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$860$	simple
3.13.am_ct_alc	$3$	$\F_{13}$	$13$	$( 1 - 6 x + 13 x^{2} )( 1 - 6 x + 22 x^{2} - 78 x^{3} + 169 x^{4} )$	$3$	$0$	$2$	$864$	1.13.ag $\times$ 2.13.ag_w
3.13.am_cu_alm	$3$	$\F_{13}$	$13$	$( 1 - 7 x + 13 x^{2} )( 1 - 5 x + 24 x^{2} - 65 x^{3} + 169 x^{4} )$	$3$	$0$	$2$	$868$	1.13.ah $\times$ 2.13.af_y
3.13.am_cv_als	$3$	$\F_{13}$	$13$	$1 - 12 x + 73 x^{2} - 304 x^{3} + 949 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$876$	simple
3.13.am_cv_alq	$3$	$\F_{13}$	$13$	$1 - 12 x + 73 x^{2} - 302 x^{3} + 949 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$878$	simple
3.13.am_cv_alo	$3$	$\F_{13}$	$13$	$( 1 - 6 x + 13 x^{2} )( 1 - 6 x + 24 x^{2} - 78 x^{3} + 169 x^{4} )$	$3$	$0$	$2$	$880$	1.13.ag $\times$ 2.13.ag_y
3.13.am_cw_amc	$3$	$\F_{13}$	$13$	$1 - 12 x + 74 x^{2} - 314 x^{3} + 962 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$880$	simple
3.13.am_cw_aly	$3$	$\F_{13}$	$13$	$1 - 12 x + 74 x^{2} - 310 x^{3} + 962 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$884$	simple
3.13.am_cw_alw	$3$	$\F_{13}$	$13$	$1 - 12 x + 74 x^{2} - 308 x^{3} + 962 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$886$	simple
3.13.am_cx_ami	$3$	$\F_{13}$	$13$	$1 - 12 x + 75 x^{2} - 320 x^{3} + 975 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$888$	simple
3.13.am_cx_amg	$3$	$\F_{13}$	$13$	$1 - 12 x + 75 x^{2} - 318 x^{3} + 975 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$890$	simple
3.13.am_cx_ame	$3$	$\F_{13}$	$13$	$1 - 12 x + 75 x^{2} - 316 x^{3} + 975 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$892$	simple
3.13.am_cx_amd	$3$	$\F_{13}$	$13$	$1 - 12 x + 75 x^{2} - 315 x^{3} + 975 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$893$	simple
3.13.am_cx_ama	$3$	$\F_{13}$	$13$	$( 1 + 13 x^{2} )( 1 - 6 x + 13 x^{2} )^{2}$	$2$	$1$	$2$	$896$	1.13.ag^2 $\times$ 1.13.a
3.13.am_cy_amk	$3$	$\F_{13}$	$13$	$( 1 - 5 x + 13 x^{2} )( 1 - 7 x + 28 x^{2} - 91 x^{3} + 169 x^{4} )$	$3$	$0$	$2$	$900$	1.13.af $\times$ 2.13.ah_bc
3.13.am_cz_amw	$3$	$\F_{13}$	$13$	$1 - 12 x + 77 x^{2} - 334 x^{3} + 1001 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$902$	simple
3.13.am_cz_amu	$3$	$\F_{13}$	$13$	$1 - 12 x + 77 x^{2} - 332 x^{3} + 1001 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$904$	simple
3.13.am_cz_amt	$3$	$\F_{13}$	$13$	$1 - 12 x + 77 x^{2} - 331 x^{3} + 1001 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$905$	simple
3.13.am_cz_amr	$3$	$\F_{13}$	$13$	$1 - 12 x + 77 x^{2} - 329 x^{3} + 1001 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$907$	simple
3.13.am_cz_amq	$3$	$\F_{13}$	$13$	$1 - 12 x + 77 x^{2} - 328 x^{3} + 1001 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$908$	simple
3.13.am_cz_amp	$3$	$\F_{13}$	$13$	$( 1 - 5 x + 13 x^{2} )( 1 - 7 x + 29 x^{2} - 91 x^{3} + 169 x^{4} )$	$3$	$0$	$2$	$909$	1.13.af $\times$ 2.13.ah_bd
3.13.am_cz_amo	$3$	$\F_{13}$	$13$	$1 - 12 x + 77 x^{2} - 326 x^{3} + 1001 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$910$	simple
3.13.am_da_amy	$3$	$\F_{13}$	$13$	$1 - 12 x + 78 x^{2} - 336 x^{3} + 1014 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$914$	simple
3.13.am_da_amw	$3$	$\F_{13}$	$13$	$1 - 12 x + 78 x^{2} - 334 x^{3} + 1014 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$916$	simple
3.13.am_da_amu	$3$	$\F_{13}$	$13$	$( 1 - 5 x + 13 x^{2} )( 1 - 7 x + 30 x^{2} - 91 x^{3} + 169 x^{4} )$	$3$	$0$	$2$	$918$	1.13.af $\times$ 2.13.ah_be
3.13.am_db_ani	$3$	$\F_{13}$	$13$	$1 - 12 x + 79 x^{2} - 346 x^{3} + 1027 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$918$	simple
3.13.am_db_ang	$3$	$\F_{13}$	$13$	$( 1 - 4 x + 13 x^{2} )( 1 - 8 x + 34 x^{2} - 104 x^{3} + 169 x^{4} )$	$3$	$0$	$2$	$920$	1.13.ae $\times$ 2.13.ai_bi
3.13.am_db_anc	$3$	$\F_{13}$	$13$	$1 - 12 x + 79 x^{2} - 340 x^{3} + 1027 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$924$	simple
3.13.am_db_ana	$3$	$\F_{13}$	$13$	$1 - 12 x + 79 x^{2} - 338 x^{3} + 1027 x^{4} - 2028 x^{5} + 2197 x^{6}$	$2$	$1$	$2$	$926$	simple
3.13.am_db_amy	$3$	$\F_{13}$	$13$	$( 1 - 6 x + 13 x^{2} )( 1 - 6 x + 30 x^{2} - 78 x^{3} + 169 x^{4} )$	$3$	$0$	$2$	$928$	1.13.ag $\times$ 2.13.ag_be
3.13.am_dc_anq	$3$	$\F_{13}$	$13$	$( 1 - 7 x + 13 x^{2} )( 1 - 3 x + 13 x^{2} )( 1 - 2 x + 13 x^{2} )$	$3$	$0$	$2$	$924$	1.13.ah $\times$ 1.13.ad $\times$ 1.13.ac
3.13.am_dc_anm	$3$	$\F_{13}$	$13$	$1 - 12 x + 80 x^{2} - 350 x^{3} + 1040 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$928$	simple
3.13.am_dc_ani	$3$	$\F_{13}$	$13$	$1 - 12 x + 80 x^{2} - 346 x^{3} + 1040 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$932$	simple
3.13.am_dc_ane	$3$	$\F_{13}$	$13$	$( 1 - 6 x + 13 x^{2} )( 1 - 5 x + 13 x^{2} )( 1 - x + 13 x^{2} )$	$3$	$0$	$2$	$936$	1.13.ag $\times$ 1.13.af $\times$ 1.13.ab
3.13.am_dd_ans	$3$	$\F_{13}$	$13$	$( 1 - 2 x + 13 x^{2} )( 1 - 10 x + 48 x^{2} - 130 x^{3} + 169 x^{4} )$	$3$	$0$	$2$	$936$	1.13.ac $\times$ 2.13.ak_bw
3.13.am_dd_anq	$3$	$\F_{13}$	$13$	$1 - 12 x + 81 x^{2} - 354 x^{3} + 1053 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$938$	simple
3.13.am_df_anw	$3$	$\F_{13}$	$13$	$( 1 - 6 x + 13 x^{2} )( 1 - 4 x + 13 x^{2} )( 1 - 2 x + 13 x^{2} )$	$3$	$0$	$2$	$960$	1.13.ag $\times$ 1.13.ae $\times$ 1.13.ac
3.13.al_cc_ahm	$3$	$\F_{13}$	$13$	$1 - 11 x + 54 x^{2} - 194 x^{3} + 702 x^{4} - 1859 x^{5} + 2197 x^{6}$	$3$	$0$	$3$	$890$	simple
3.13.al_cd_ahv	$3$	$\F_{13}$	$13$	$1 - 11 x + 55 x^{2} - 203 x^{3} + 715 x^{4} - 1859 x^{5} + 2197 x^{6}$	$3$	$0$	$3$	$895$	simple
3.13.al_ce_aia	$3$	$\F_{13}$	$13$	$( 1 - 6 x + 13 x^{2} )( 1 - 5 x + 13 x^{2} - 65 x^{3} + 169 x^{4} )$	$2$	$1$	$3$	$904$	1.13.ag $\times$ 2.13.af_n
3.13.al_cf_aii	$3$	$\F_{13}$	$13$	$( 1 - 7 x + 13 x^{2} )( 1 - 4 x + 16 x^{2} - 52 x^{3} + 169 x^{4} )$	$3$	$0$	$3$	$910$	1.13.ah $\times$ 2.13.ae_q
3.13.al_cf_aih	$3$	$\F_{13}$	$13$	$1 - 11 x + 57 x^{2} - 215 x^{3} + 741 x^{4} - 1859 x^{5} + 2197 x^{6}$	$3$	$0$	$3$	$911$	simple
3.13.al_cg_aiq	$3$	$\F_{13}$	$13$	$1 - 11 x + 58 x^{2} - 224 x^{3} + 754 x^{4} - 1859 x^{5} + 2197 x^{6}$	$3$	$0$	$3$	$916$	simple
3.13.al_cg_aio	$3$	$\F_{13}$	$13$	$1 - 11 x + 58 x^{2} - 222 x^{3} + 754 x^{4} - 1859 x^{5} + 2197 x^{6}$	$3$	$0$	$3$	$918$	simple
3.13.al_ch_aix	$3$	$\F_{13}$	$13$	$1 - 11 x + 59 x^{2} - 231 x^{3} + 767 x^{4} - 1859 x^{5} + 2197 x^{6}$	$3$	$0$	$3$	$923$	simple
3.13.al_ch_aiw	$3$	$\F_{13}$	$13$	$( 1 - 7 x + 13 x^{2} )( 1 - 4 x + 18 x^{2} - 52 x^{3} + 169 x^{4} )$	$3$	$0$	$3$	$924$	1.13.ah $\times$ 2.13.ae_s
3.13.al_ch_aiv	$3$	$\F_{13}$	$13$	$1 - 11 x + 59 x^{2} - 229 x^{3} + 767 x^{4} - 1859 x^{5} + 2197 x^{6}$	$3$	$0$	$3$	$925$	simple