Abelian variety search results

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

Results (1-50 of 1204 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_do_apc	$3$	$\F_{13}$	$13$	$( 1 - 7 x + 13 x^{2} )( 1 - 7 x + 30 x^{2} - 91 x^{3} + 169 x^{4} )$	$3$	$0$	$0$	$714$	1.13.ah $\times$ 2.13.ah_be
3.13.ao_dq_apq	$3$	$\F_{13}$	$13$	$( 1 - 7 x + 13 x^{2} )( 1 - 6 x + 13 x^{2} )( 1 - x + 13 x^{2} )$	$3$	$0$	$0$	$728$	1.13.ah $\times$ 1.13.ag $\times$ 1.13.ab
3.13.ao_dr_apx	$3$	$\F_{13}$	$13$	$( 1 - 7 x + 13 x^{2} )( 1 - 7 x + 33 x^{2} - 91 x^{3} + 169 x^{4} )$	$3$	$0$	$0$	$735$	1.13.ah $\times$ 2.13.ah_bh
3.13.ao_ds_aqg	$3$	$\F_{13}$	$13$	$1 - 14 x + 96 x^{2} - 422 x^{3} + 1248 x^{4} - 2366 x^{5} + 2197 x^{6}$	$3$	$0$	$0$	$740$	simple
3.13.ao_ds_aqe	$3$	$\F_{13}$	$13$	$( 1 - 7 x + 13 x^{2} )( 1 - 7 x + 34 x^{2} - 91 x^{3} + 169 x^{4} )$	$3$	$0$	$0$	$742$	1.13.ah $\times$ 2.13.ah_bi
3.13.ao_dt_aqi	$3$	$\F_{13}$	$13$	$( 1 - 6 x + 13 x^{2} )( 1 - 8 x + 36 x^{2} - 104 x^{3} + 169 x^{4} )$	$3$	$0$	$0$	$752$	1.13.ag $\times$ 2.13.ai_bk
3.13.ao_dv_aqy	$3$	$\F_{13}$	$13$	$1 - 14 x + 99 x^{2} - 440 x^{3} + 1287 x^{4} - 2366 x^{5} + 2197 x^{6}$	$3$	$0$	$0$	$764$	simple
3.13.ao_dw_are	$3$	$\F_{13}$	$13$	$1 - 14 x + 100 x^{2} - 446 x^{3} + 1300 x^{4} - 2366 x^{5} + 2197 x^{6}$	$3$	$0$	$0$	$772$	simple
3.13.ao_dx_ark	$3$	$\F_{13}$	$13$	$( 1 - 4 x + 13 x^{2} )( 1 - 10 x + 48 x^{2} - 130 x^{3} + 169 x^{4} )$	$3$	$0$	$0$	$780$	1.13.ae $\times$ 2.13.ak_bw
3.13.ao_dy_arm	$3$	$\F_{13}$	$13$	$( 1 - 6 x + 13 x^{2} )( 1 - 5 x + 13 x^{2} )( 1 - 3 x + 13 x^{2} )$	$3$	$0$	$0$	$792$	1.13.ag $\times$ 1.13.af $\times$ 1.13.ad
3.13.an_db_amm	$3$	$\F_{13}$	$13$	$( 1 - 7 x + 13 x^{2} )( 1 - 6 x + 24 x^{2} - 78 x^{3} + 169 x^{4} )$	$3$	$0$	$1$	$770$	1.13.ah $\times$ 2.13.ag_y
3.13.an_dd_anb	$3$	$\F_{13}$	$13$	$1 - 13 x + 81 x^{2} - 339 x^{3} + 1053 x^{4} - 2197 x^{5} + 2197 x^{6}$	$3$	$0$	$1$	$783$	simple
3.13.an_dd_ana	$3$	$\F_{13}$	$13$	$( 1 - 7 x + 13 x^{2} )( 1 - 6 x + 13 x^{2} )( 1 + 13 x^{2} )$	$2$	$1$	$1$	$784$	1.13.ah $\times$ 1.13.ag $\times$ 1.13.a
3.13.an_dd_amz	$3$	$\F_{13}$	$13$	$1 - 13 x + 81 x^{2} - 337 x^{3} + 1053 x^{4} - 2197 x^{5} + 2197 x^{6}$	$3$	$0$	$1$	$785$	simple
3.13.an_de_ang	$3$	$\F_{13}$	$13$	$( 1 - 6 x + 13 x^{2} )( 1 - 7 x + 27 x^{2} - 91 x^{3} + 169 x^{4} )$	$3$	$0$	$1$	$792$	1.13.ag $\times$ 2.13.ah_bb
3.13.an_df_anp	$3$	$\F_{13}$	$13$	$1 - 13 x + 83 x^{2} - 353 x^{3} + 1079 x^{4} - 2197 x^{5} + 2197 x^{6}$	$3$	$0$	$1$	$797$	simple
3.13.an_dh_aoa	$3$	$\F_{13}$	$13$	$1 - 13 x + 85 x^{2} - 364 x^{3} + 1105 x^{4} - 2197 x^{5} + 2197 x^{6}$	$2$	$1$	$1$	$814$	simple
3.13.an_dh_anz	$3$	$\F_{13}$	$13$	$1 - 13 x + 85 x^{2} - 363 x^{3} + 1105 x^{4} - 2197 x^{5} + 2197 x^{6}$	$3$	$0$	$1$	$815$	simple
3.13.an_di_aok	$3$	$\F_{13}$	$13$	$1 - 13 x + 86 x^{2} - 374 x^{3} + 1118 x^{4} - 2197 x^{5} + 2197 x^{6}$	$3$	$0$	$1$	$818$	simple
3.13.an_di_aoi	$3$	$\F_{13}$	$13$	$1 - 13 x + 86 x^{2} - 372 x^{3} + 1118 x^{4} - 2197 x^{5} + 2197 x^{6}$	$3$	$0$	$1$	$820$	simple
3.13.an_dj_aos	$3$	$\F_{13}$	$13$	$1 - 13 x + 87 x^{2} - 382 x^{3} + 1131 x^{4} - 2197 x^{5} + 2197 x^{6}$	$3$	$0$	$1$	$824$	simple
3.13.an_dj_aoo	$3$	$\F_{13}$	$13$	$( 1 - 5 x + 13 x^{2} )( 1 - 8 x + 34 x^{2} - 104 x^{3} + 169 x^{4} )$	$3$	$0$	$1$	$828$	1.13.af $\times$ 2.13.ai_bi
3.13.an_dj_aon	$3$	$\F_{13}$	$13$	$1 - 13 x + 87 x^{2} - 377 x^{3} + 1131 x^{4} - 2197 x^{5} + 2197 x^{6}$	$2$	$1$	$1$	$829$	simple
3.13.an_dj_aom	$3$	$\F_{13}$	$13$	$1 - 13 x + 87 x^{2} - 376 x^{3} + 1131 x^{4} - 2197 x^{5} + 2197 x^{6}$	$3$	$0$	$1$	$830$	simple
3.13.an_dj_aol	$3$	$\F_{13}$	$13$	$1 - 13 x + 87 x^{2} - 375 x^{3} + 1131 x^{4} - 2197 x^{5} + 2197 x^{6}$	$3$	$0$	$1$	$831$	simple
3.13.an_dk_aoy	$3$	$\F_{13}$	$13$	$1 - 13 x + 88 x^{2} - 388 x^{3} + 1144 x^{4} - 2197 x^{5} + 2197 x^{6}$	$3$	$0$	$1$	$832$	simple
3.13.an_dk_aou	$3$	$\F_{13}$	$13$	$1 - 13 x + 88 x^{2} - 384 x^{3} + 1144 x^{4} - 2197 x^{5} + 2197 x^{6}$	$3$	$0$	$1$	$836$	simple
3.13.an_dl_apf	$3$	$\F_{13}$	$13$	$1 - 13 x + 89 x^{2} - 395 x^{3} + 1157 x^{4} - 2197 x^{5} + 2197 x^{6}$	$3$	$0$	$1$	$839$	simple
3.13.an_dl_ape	$3$	$\F_{13}$	$13$	$( 1 - 7 x + 13 x^{2} )( 1 - 4 x + 13 x^{2} )( 1 - 2 x + 13 x^{2} )$	$3$	$0$	$1$	$840$	1.13.ah $\times$ 1.13.ae $\times$ 1.13.ac
3.13.an_dl_apd	$3$	$\F_{13}$	$13$	$1 - 13 x + 89 x^{2} - 393 x^{3} + 1157 x^{4} - 2197 x^{5} + 2197 x^{6}$	$3$	$0$	$1$	$841$	simple
3.13.an_dl_apa	$3$	$\F_{13}$	$13$	$1 - 13 x + 89 x^{2} - 390 x^{3} + 1157 x^{4} - 2197 x^{5} + 2197 x^{6}$	$2$	$1$	$1$	$844$	simple
3.13.an_dl_aoz	$3$	$\F_{13}$	$13$	$1 - 13 x + 89 x^{2} - 389 x^{3} + 1157 x^{4} - 2197 x^{5} + 2197 x^{6}$	$3$	$0$	$1$	$845$	simple
3.13.an_dl_aoy	$3$	$\F_{13}$	$13$	$( 1 - 5 x + 13 x^{2} )( 1 - 8 x + 36 x^{2} - 104 x^{3} + 169 x^{4} )$	$3$	$0$	$1$	$846$	1.13.af $\times$ 2.13.ai_bk
3.13.an_dm_apk	$3$	$\F_{13}$	$13$	$1 - 13 x + 90 x^{2} - 400 x^{3} + 1170 x^{4} - 2197 x^{5} + 2197 x^{6}$	$3$	$0$	$1$	$848$	simple
3.13.an_dn_apm	$3$	$\F_{13}$	$13$	$( 1 - 4 x + 13 x^{2} )( 1 - 9 x + 42 x^{2} - 117 x^{3} + 169 x^{4} )$	$3$	$0$	$1$	$860$	1.13.ae $\times$ 2.13.aj_bq
3.13.an_dn_apl	$3$	$\F_{13}$	$13$	$1 - 13 x + 91 x^{2} - 401 x^{3} + 1183 x^{4} - 2197 x^{5} + 2197 x^{6}$	$3$	$0$	$1$	$861$	simple
3.13.am_ci_aig	$3$	$\F_{13}$	$13$	$( 1 + 2 x + 13 x^{2} )( 1 - 7 x + 13 x^{2} )^{2}$	$3$	$0$	$2$	$784$	1.13.ah^2 $\times$ 1.13.c
3.13.am_cl_ajc	$3$	$\F_{13}$	$13$	$1 - 12 x + 63 x^{2} - 236 x^{3} + 819 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$804$	simple
3.13.am_cn_ajq	$3$	$\F_{13}$	$13$	$1 - 12 x + 65 x^{2} - 250 x^{3} + 845 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$818$	simple
3.13.am_cn_ajp	$3$	$\F_{13}$	$13$	$( 1 - 7 x + 13 x^{2} )( 1 - 5 x + 17 x^{2} - 65 x^{3} + 169 x^{4} )$	$3$	$0$	$2$	$819$	1.13.ah $\times$ 2.13.af_r
3.13.am_ct_alh	$3$	$\F_{13}$	$13$	$1 - 12 x + 71 x^{2} - 293 x^{3} + 923 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$859$	simple
3.13.am_cu_alk	$3$	$\F_{13}$	$13$	$1 - 12 x + 72 x^{2} - 296 x^{3} + 936 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$870$	simple
3.13.am_cu_ali	$3$	$\F_{13}$	$13$	$( 1 - 6 x + 13 x^{2} )( 1 - 6 x + 23 x^{2} - 78 x^{3} + 169 x^{4} )$	$3$	$0$	$2$	$872$	1.13.ag $\times$ 2.13.ag_x
3.13.am_cv_alv	$3$	$\F_{13}$	$13$	$( 1 - 5 x + 13 x^{2} )( 1 - 7 x + 25 x^{2} - 91 x^{3} + 169 x^{4} )$	$3$	$0$	$2$	$873$	1.13.af $\times$ 2.13.ah_z
3.13.am_cv_alu	$3$	$\F_{13}$	$13$	$1 - 12 x + 73 x^{2} - 306 x^{3} + 949 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$874$	simple
3.13.am_cv_alr	$3$	$\F_{13}$	$13$	$1 - 12 x + 73 x^{2} - 303 x^{3} + 949 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$877$	simple
3.13.am_cv_alp	$3$	$\F_{13}$	$13$	$1 - 12 x + 73 x^{2} - 301 x^{3} + 949 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$879$	simple
3.13.am_cw_ama	$3$	$\F_{13}$	$13$	$( 1 - 7 x + 13 x^{2} )( 1 - 5 x + 13 x^{2} )( 1 + 13 x^{2} )$	$2$	$1$	$2$	$882$	1.13.ah $\times$ 1.13.af $\times$ 1.13.a
3.13.am_cx_amj	$3$	$\F_{13}$	$13$	$1 - 12 x + 75 x^{2} - 321 x^{3} + 975 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$887$	simple
3.13.am_cx_amh	$3$	$\F_{13}$	$13$	$( 1 - 7 x + 13 x^{2} )( 1 - 5 x + 27 x^{2} - 65 x^{3} + 169 x^{4} )$	$3$	$0$	$2$	$889$	1.13.ah $\times$ 2.13.af_bb