Abelian variety search results

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

Results (1-50 of 3510 matches)

 

Label	Dimension	Base field	Base char.	L-polynomial	$p$-rank	$p$-rank deficit	points on curve	points on variety	Isogeny factors
3.9.ak_by_ago	$3$	$\F_{3^{2}}$	$3$	$( 1 - 5 x + 9 x^{2} )( 1 - 5 x + 16 x^{2} - 45 x^{3} + 81 x^{4} )$	$3$	$0$	$0$	$240$	1.9.af $\times$ 2.9.af_q
3.9.ak_cb_ahi	$3$	$\F_{3^{2}}$	$3$	$1 - 10 x + 53 x^{2} - 190 x^{3} + 477 x^{4} - 810 x^{5} + 729 x^{6}$	$3$	$0$	$0$	$250$	simple
3.9.ak_cb_ahg	$3$	$\F_{3^{2}}$	$3$	$( 1 - 4 x + 9 x^{2} )( 1 - 6 x + 20 x^{2} - 54 x^{3} + 81 x^{4} )$	$3$	$0$	$0$	$252$	1.9.ae $\times$ 2.9.ag_u
3.9.ak_cc_ahm	$3$	$\F_{3^{2}}$	$3$	$1 - 10 x + 54 x^{2} - 194 x^{3} + 486 x^{4} - 810 x^{5} + 729 x^{6}$	$3$	$0$	$0$	$256$	simple
3.9.ak_cd_ahs	$3$	$\F_{3^{2}}$	$3$	$1 - 10 x + 55 x^{2} - 200 x^{3} + 495 x^{4} - 810 x^{5} + 729 x^{6}$	$3$	$0$	$0$	$260$	simple
3.9.ak_cd_aho	$3$	$\F_{3^{2}}$	$3$	$( 1 - 4 x + 9 x^{2} )( 1 - 6 x + 22 x^{2} - 54 x^{3} + 81 x^{4} )$	$3$	$0$	$0$	$264$	1.9.ae $\times$ 2.9.ag_w
3.9.ak_ch_aie	$3$	$\F_{3^{2}}$	$3$	$( 1 - 2 x + 9 x^{2} )( 1 - 4 x + 9 x^{2} )^{2}$	$3$	$0$	$0$	$288$	1.9.ae^2 $\times$ 1.9.ac
3.9.aj_bp_afh	$3$	$\F_{3^{2}}$	$3$	$1 - 9 x + 41 x^{2} - 137 x^{3} + 369 x^{4} - 729 x^{5} + 729 x^{6}$	$3$	$0$	$1$	$265$	simple
3.9.aj_bp_afe	$3$	$\F_{3^{2}}$	$3$	$1 - 9 x + 41 x^{2} - 134 x^{3} + 369 x^{4} - 729 x^{5} + 729 x^{6}$	$3$	$0$	$1$	$268$	simple
3.9.aj_bq_afk	$3$	$\F_{3^{2}}$	$3$	$1 - 9 x + 42 x^{2} - 140 x^{3} + 378 x^{4} - 729 x^{5} + 729 x^{6}$	$3$	$0$	$1$	$272$	simple
3.9.aj_bt_agc	$3$	$\F_{3^{2}}$	$3$	$1 - 9 x + 45 x^{2} - 158 x^{3} + 405 x^{4} - 729 x^{5} + 729 x^{6}$	$3$	$0$	$1$	$284$	simple
3.9.aj_bt_agb	$3$	$\F_{3^{2}}$	$3$	$1 - 9 x + 45 x^{2} - 157 x^{3} + 405 x^{4} - 729 x^{5} + 729 x^{6}$	$3$	$0$	$1$	$285$	simple
3.9.aj_bt_afz	$3$	$\F_{3^{2}}$	$3$	$1 - 9 x + 45 x^{2} - 155 x^{3} + 405 x^{4} - 729 x^{5} + 729 x^{6}$	$3$	$0$	$1$	$287$	simple
3.9.aj_bw_agq	$3$	$\F_{3^{2}}$	$3$	$1 - 9 x + 48 x^{2} - 172 x^{3} + 432 x^{4} - 729 x^{5} + 729 x^{6}$	$3$	$0$	$1$	$300$	simple
3.9.ai_y_acc	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 5 x + 9 x^{2} )( 1 + 3 x + 9 x^{2} )$	$1$	$2$	$2$	$260$	1.9.ag $\times$ 1.9.af $\times$ 1.9.d
3.9.ai_bb_act	$3$	$\F_{3^{2}}$	$3$	$1 - 8 x + 27 x^{2} - 71 x^{3} + 243 x^{4} - 648 x^{5} + 729 x^{6}$	$3$	$0$	$2$	$273$	simple
3.9.ai_bb_acs	$3$	$\F_{3^{2}}$	$3$	$1 - 8 x + 27 x^{2} - 70 x^{3} + 243 x^{4} - 648 x^{5} + 729 x^{6}$	$3$	$0$	$2$	$274$	simple
3.9.ai_bc_acw	$3$	$\F_{3^{2}}$	$3$	$( 1 - 5 x + 9 x^{2} )( 1 - 3 x + 4 x^{2} - 27 x^{3} + 81 x^{4} )$	$3$	$0$	$2$	$280$	1.9.af $\times$ 2.9.ad_e
3.9.ai_bd_ade	$3$	$\F_{3^{2}}$	$3$	$1 - 8 x + 29 x^{2} - 82 x^{3} + 261 x^{4} - 648 x^{5} + 729 x^{6}$	$3$	$0$	$2$	$282$	simple
3.9.ai_bd_adc	$3$	$\F_{3^{2}}$	$3$	$1 - 8 x + 29 x^{2} - 80 x^{3} + 261 x^{4} - 648 x^{5} + 729 x^{6}$	$3$	$0$	$2$	$284$	simple
3.9.ai_be_adk	$3$	$\F_{3^{2}}$	$3$	$1 - 8 x + 30 x^{2} - 88 x^{3} + 270 x^{4} - 648 x^{5} + 729 x^{6}$	$3$	$0$	$2$	$286$	simple
3.9.ai_be_adi	$3$	$\F_{3^{2}}$	$3$	$1 - 8 x + 30 x^{2} - 86 x^{3} + 270 x^{4} - 648 x^{5} + 729 x^{6}$	$3$	$0$	$2$	$288$	simple
3.9.ai_bf_ads	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 4 x + 9 x^{2} )( 1 + 2 x + 9 x^{2} )$	$2$	$1$	$2$	$288$	1.9.ag $\times$ 1.9.ae $\times$ 1.9.c
3.9.ai_bg_adu	$3$	$\F_{3^{2}}$	$3$	$1 - 8 x + 32 x^{2} - 98 x^{3} + 288 x^{4} - 648 x^{5} + 729 x^{6}$	$3$	$0$	$2$	$296$	simple
3.9.ai_bg_adq	$3$	$\F_{3^{2}}$	$3$	$( 1 + 2 x + 9 x^{2} )( 1 - 5 x + 9 x^{2} )^{2}$	$3$	$0$	$2$	$300$	1.9.af^2 $\times$ 1.9.c
3.9.ai_bh_aee	$3$	$\F_{3^{2}}$	$3$	$( 1 - 3 x )^{2}( 1 - 2 x + 12 x^{2} - 18 x^{3} + 81 x^{4} )$	$1$	$2$	$2$	$296$	1.9.ag $\times$ 2.9.ac_m
3.9.ai_bh_adw	$3$	$\F_{3^{2}}$	$3$	$1 - 8 x + 33 x^{2} - 100 x^{3} + 297 x^{4} - 648 x^{5} + 729 x^{6}$	$3$	$0$	$2$	$304$	simple
3.9.ai_bi_aec	$3$	$\F_{3^{2}}$	$3$	$1 - 8 x + 34 x^{2} - 106 x^{3} + 306 x^{4} - 648 x^{5} + 729 x^{6}$	$3$	$0$	$2$	$308$	simple
3.9.ai_bj_aep	$3$	$\F_{3^{2}}$	$3$	$1 - 8 x + 35 x^{2} - 119 x^{3} + 315 x^{4} - 648 x^{5} + 729 x^{6}$	$3$	$0$	$2$	$305$	simple
3.9.ai_bj_aeo	$3$	$\F_{3^{2}}$	$3$	$1 - 8 x + 35 x^{2} - 118 x^{3} + 315 x^{4} - 648 x^{5} + 729 x^{6}$	$3$	$0$	$2$	$306$	simple
3.9.ai_bj_ael	$3$	$\F_{3^{2}}$	$3$	$1 - 8 x + 35 x^{2} - 115 x^{3} + 315 x^{4} - 648 x^{5} + 729 x^{6}$	$3$	$0$	$2$	$309$	simple
3.9.ai_bk_aeo	$3$	$\F_{3^{2}}$	$3$	$1 - 8 x + 36 x^{2} - 118 x^{3} + 324 x^{4} - 648 x^{5} + 729 x^{6}$	$3$	$0$	$2$	$316$	simple
3.9.ai_bl_afb	$3$	$\F_{3^{2}}$	$3$	$1 - 8 x + 37 x^{2} - 131 x^{3} + 333 x^{4} - 648 x^{5} + 729 x^{6}$	$3$	$0$	$2$	$313$	simple
3.9.ai_bl_aex	$3$	$\F_{3^{2}}$	$3$	$1 - 8 x + 37 x^{2} - 127 x^{3} + 333 x^{4} - 648 x^{5} + 729 x^{6}$	$3$	$0$	$2$	$317$	simple
3.9.ai_bl_aev	$3$	$\F_{3^{2}}$	$3$	$( 1 + x + 9 x^{2} )( 1 - 9 x + 37 x^{2} - 81 x^{3} + 81 x^{4} )$	$3$	$0$	$2$	$319$	1.9.b $\times$ 2.9.aj_bl
3.9.ai_bl_aer	$3$	$\F_{3^{2}}$	$3$	$1 - 8 x + 37 x^{2} - 121 x^{3} + 333 x^{4} - 648 x^{5} + 729 x^{6}$	$3$	$0$	$2$	$323$	simple
3.9.ai_bm_afg	$3$	$\F_{3^{2}}$	$3$	$1 - 8 x + 38 x^{2} - 136 x^{3} + 342 x^{4} - 648 x^{5} + 729 x^{6}$	$3$	$0$	$2$	$318$	simple
3.9.ai_bm_afe	$3$	$\F_{3^{2}}$	$3$	$1 - 8 x + 38 x^{2} - 134 x^{3} + 342 x^{4} - 648 x^{5} + 729 x^{6}$	$3$	$0$	$2$	$320$	simple
3.9.ai_bm_afa	$3$	$\F_{3^{2}}$	$3$	$1 - 8 x + 38 x^{2} - 130 x^{3} + 342 x^{4} - 648 x^{5} + 729 x^{6}$	$3$	$0$	$2$	$324$	simple
3.9.ai_bm_aeu	$3$	$\F_{3^{2}}$	$3$	$( 1 - 5 x + 9 x^{2} )( 1 - 4 x + 9 x^{2} )( 1 + x + 9 x^{2} )$	$3$	$0$	$2$	$330$	1.9.af $\times$ 1.9.ae $\times$ 1.9.b
3.9.ai_bn_afd	$3$	$\F_{3^{2}}$	$3$	$1 - 8 x + 39 x^{2} - 133 x^{3} + 351 x^{4} - 648 x^{5} + 729 x^{6}$	$3$	$0$	$2$	$331$	simple
3.9.ai_bo_afq	$3$	$\F_{3^{2}}$	$3$	$( 1 - 2 x + 9 x^{2} )( 1 - 6 x + 19 x^{2} - 54 x^{3} + 81 x^{4} )$	$3$	$0$	$2$	$328$	1.9.ac $\times$ 2.9.ag_t
3.9.ai_bo_afm	$3$	$\F_{3^{2}}$	$3$	$1 - 8 x + 40 x^{2} - 142 x^{3} + 360 x^{4} - 648 x^{5} + 729 x^{6}$	$3$	$0$	$2$	$332$	simple
3.9.ai_bp_afp	$3$	$\F_{3^{2}}$	$3$	$1 - 8 x + 41 x^{2} - 145 x^{3} + 369 x^{4} - 648 x^{5} + 729 x^{6}$	$3$	$0$	$2$	$339$	simple
3.9.ai_bp_afm	$3$	$\F_{3^{2}}$	$3$	$1 - 8 x + 41 x^{2} - 142 x^{3} + 369 x^{4} - 648 x^{5} + 729 x^{6}$	$3$	$0$	$2$	$342$	simple
3.9.ai_bp_afk	$3$	$\F_{3^{2}}$	$3$	$1 - 8 x + 41 x^{2} - 140 x^{3} + 369 x^{4} - 648 x^{5} + 729 x^{6}$	$3$	$0$	$2$	$344$	simple
3.9.ai_bp_afj	$3$	$\F_{3^{2}}$	$3$	$( 1 - 5 x + 9 x^{2} )( 1 - 3 x + 17 x^{2} - 27 x^{3} + 81 x^{4} )$	$3$	$0$	$2$	$345$	1.9.af $\times$ 2.9.ad_r
3.9.ai_bp_afg	$3$	$\F_{3^{2}}$	$3$	$( 1 - 4 x + 9 x^{2} )( 1 - 4 x + 16 x^{2} - 36 x^{3} + 81 x^{4} )$	$3$	$0$	$2$	$348$	1.9.ae $\times$ 2.9.ae_q
3.9.ai_bq_afq	$3$	$\F_{3^{2}}$	$3$	$1 - 8 x + 42 x^{2} - 146 x^{3} + 378 x^{4} - 648 x^{5} + 729 x^{6}$	$3$	$0$	$2$	$348$	simple
3.9.ai_bq_afm	$3$	$\F_{3^{2}}$	$3$	$1 - 8 x + 42 x^{2} - 142 x^{3} + 378 x^{4} - 648 x^{5} + 729 x^{6}$	$3$	$0$	$2$	$352$	simple