Abelian variety search results

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

Results (1-50 of 1324 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_dp_apk	$3$	$\F_{13}$	$13$	$( 1 - 6 x + 13 x^{2} )( 1 - 8 x + 32 x^{2} - 104 x^{3} + 169 x^{4} )$	$3$	$0$	$0$	$720$	1.13.ag $\times$ 2.13.ai_bg
3.13.ao_dr_apw	$3$	$\F_{13}$	$13$	$( 1 - 6 x + 13 x^{2} )( 1 - 8 x + 34 x^{2} - 104 x^{3} + 169 x^{4} )$	$3$	$0$	$0$	$736$	1.13.ag $\times$ 2.13.ai_bi
3.13.ao_dt_aqm	$3$	$\F_{13}$	$13$	$1 - 14 x + 97 x^{2} - 428 x^{3} + 1261 x^{4} - 2366 x^{5} + 2197 x^{6}$	$3$	$0$	$0$	$748$	simple
3.13.ao_dw_arc	$3$	$\F_{13}$	$13$	$( 1 - 5 x + 13 x^{2} )( 1 - 9 x + 42 x^{2} - 117 x^{3} + 169 x^{4} )$	$3$	$0$	$0$	$774$	1.13.af $\times$ 2.13.aj_bq
3.13.ao_dz_ars	$3$	$\F_{13}$	$13$	$( 1 - 6 x + 13 x^{2} )( 1 - 4 x + 13 x^{2} )^{2}$	$3$	$0$	$0$	$800$	1.13.ag $\times$ 1.13.ae^2
3.13.an_dg_anw	$3$	$\F_{13}$	$13$	$1 - 13 x + 84 x^{2} - 360 x^{3} + 1092 x^{4} - 2197 x^{5} + 2197 x^{6}$	$3$	$0$	$1$	$804$	simple
3.13.an_di_aog	$3$	$\F_{13}$	$13$	$1 - 13 x + 86 x^{2} - 370 x^{3} + 1118 x^{4} - 2197 x^{5} + 2197 x^{6}$	$3$	$0$	$1$	$822$	simple
3.13.an_dl_aox	$3$	$\F_{13}$	$13$	$1 - 13 x + 89 x^{2} - 387 x^{3} + 1157 x^{4} - 2197 x^{5} + 2197 x^{6}$	$3$	$0$	$1$	$847$	simple
3.13.am_cm_aji	$3$	$\F_{13}$	$13$	$( 1 - 7 x + 13 x^{2} )( 1 - 5 x + 16 x^{2} - 65 x^{3} + 169 x^{4} )$	$3$	$0$	$2$	$812$	1.13.ah $\times$ 2.13.af_q
3.13.am_cp_akd	$3$	$\F_{13}$	$13$	$( 1 - 7 x + 13 x^{2} )( 1 - 5 x + 19 x^{2} - 65 x^{3} + 169 x^{4} )$	$3$	$0$	$2$	$833$	1.13.ah $\times$ 2.13.af_t
3.13.am_cr_aks	$3$	$\F_{13}$	$13$	$1 - 12 x + 69 x^{2} - 278 x^{3} + 897 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$846$	simple
3.13.am_cr_akq	$3$	$\F_{13}$	$13$	$( 1 - 6 x + 13 x^{2} )( 1 - 6 x + 20 x^{2} - 78 x^{3} + 169 x^{4} )$	$3$	$0$	$2$	$848$	1.13.ag $\times$ 2.13.ag_u
3.13.am_cr_akp	$3$	$\F_{13}$	$13$	$1 - 12 x + 69 x^{2} - 275 x^{3} + 897 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$849$	simple
3.13.am_cs_ala	$3$	$\F_{13}$	$13$	$1 - 12 x + 70 x^{2} - 286 x^{3} + 910 x^{4} - 2028 x^{5} + 2197 x^{6}$	$2$	$1$	$2$	$852$	simple
3.13.am_cs_akw	$3$	$\F_{13}$	$13$	$( 1 - 6 x + 13 x^{2} )( 1 - 6 x + 21 x^{2} - 78 x^{3} + 169 x^{4} )$	$3$	$0$	$2$	$856$	1.13.ag $\times$ 2.13.ag_v
3.13.am_ct_ale	$3$	$\F_{13}$	$13$	$1 - 12 x + 71 x^{2} - 290 x^{3} + 923 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$862$	simple
3.13.am_ct_ald	$3$	$\F_{13}$	$13$	$1 - 12 x + 71 x^{2} - 289 x^{3} + 923 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$863$	simple
3.13.am_cv_alw	$3$	$\F_{13}$	$13$	$1 - 12 x + 73 x^{2} - 308 x^{3} + 949 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$872$	simple
3.13.am_cv_alt	$3$	$\F_{13}$	$13$	$( 1 - 7 x + 13 x^{2} )( 1 - 5 x + 25 x^{2} - 65 x^{3} + 169 x^{4} )$	$3$	$0$	$2$	$875$	1.13.ah $\times$ 2.13.af_z
3.13.am_cx_amc	$3$	$\F_{13}$	$13$	$1 - 12 x + 75 x^{2} - 314 x^{3} + 975 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$894$	simple
3.13.am_cx_amb	$3$	$\F_{13}$	$13$	$1 - 12 x + 75 x^{2} - 313 x^{3} + 975 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$895$	simple
3.13.am_cy_amm	$3$	$\F_{13}$	$13$	$1 - 12 x + 76 x^{2} - 324 x^{3} + 988 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$898$	simple
3.13.am_cz_amy	$3$	$\F_{13}$	$13$	$( 1 - 4 x + 13 x^{2} )( 1 - 8 x + 32 x^{2} - 104 x^{3} + 169 x^{4} )$	$3$	$0$	$2$	$900$	1.13.ae $\times$ 2.13.ai_bg
3.13.am_cz_ams	$3$	$\F_{13}$	$13$	$1 - 12 x + 77 x^{2} - 330 x^{3} + 1001 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$906$	simple
3.13.am_da_anc	$3$	$\F_{13}$	$13$	$( 1 - 7 x + 13 x^{2} )( 1 - 4 x + 13 x^{2} )( 1 - x + 13 x^{2} )$	$3$	$0$	$2$	$910$	1.13.ah $\times$ 1.13.ae $\times$ 1.13.ab
3.13.am_db_ank	$3$	$\F_{13}$	$13$	$1 - 12 x + 79 x^{2} - 348 x^{3} + 1027 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$916$	simple
3.13.am_db_ane	$3$	$\F_{13}$	$13$	$1 - 12 x + 79 x^{2} - 342 x^{3} + 1027 x^{4} - 2028 x^{5} + 2197 x^{6}$	$3$	$0$	$2$	$922$	simple
3.13.am_db_and	$3$	$\F_{13}$	$13$	$( 1 - x + 13 x^{2} )( 1 - 11 x + 55 x^{2} - 143 x^{3} + 169 x^{4} )$	$3$	$0$	$2$	$923$	1.13.ab $\times$ 2.13.al_cd
3.13.am_dd_ank	$3$	$\F_{13}$	$13$	$( 1 - 6 x + 13 x^{2} )( 1 - 6 x + 32 x^{2} - 78 x^{3} + 169 x^{4} )$	$3$	$0$	$2$	$944$	1.13.ag $\times$ 2.13.ag_bg
3.13.am_de_ans	$3$	$\F_{13}$	$13$	$( 1 - 4 x + 13 x^{2} )( 1 - 8 x + 37 x^{2} - 104 x^{3} + 169 x^{4} )$	$3$	$0$	$2$	$950$	1.13.ae $\times$ 2.13.ai_bl
3.13.am_de_anq	$3$	$\F_{13}$	$13$	$( 1 - 6 x + 13 x^{2} )( 1 - 6 x + 33 x^{2} - 78 x^{3} + 169 x^{4} )$	$3$	$0$	$2$	$952$	1.13.ag $\times$ 2.13.ag_bh
3.13.am_de_ano	$3$	$\F_{13}$	$13$	$( 1 - 5 x + 13 x^{2} )( 1 - 7 x + 34 x^{2} - 91 x^{3} + 169 x^{4} )$	$3$	$0$	$2$	$954$	1.13.af $\times$ 2.13.ah_bi
3.13.am_dg_any	$3$	$\F_{13}$	$13$	$( 1 - 2 x + 13 x^{2} )( 1 - 5 x + 13 x^{2} )^{2}$	$3$	$0$	$2$	$972$	1.13.af^2 $\times$ 1.13.ac
3.13.am_dj_aom	$3$	$\F_{13}$	$13$	$( 1 - 4 x + 13 x^{2} )^{3}$	$3$	$0$	$2$	$1000$	1.13.ae^3
3.13.al_bx_agf	$3$	$\F_{13}$	$13$	$1 - 11 x + 49 x^{2} - 161 x^{3} + 637 x^{4} - 1859 x^{5} + 2197 x^{6}$	$3$	$0$	$3$	$853$	simple
3.13.al_cb_ahg	$3$	$\F_{13}$	$13$	$( 1 - 7 x + 13 x^{2} )( 1 - 4 x + 12 x^{2} - 52 x^{3} + 169 x^{4} )$	$3$	$0$	$3$	$882$	1.13.ah $\times$ 2.13.ae_m
3.13.al_ce_aic	$3$	$\F_{13}$	$13$	$1 - 11 x + 56 x^{2} - 210 x^{3} + 728 x^{4} - 1859 x^{5} + 2197 x^{6}$	$3$	$0$	$3$	$902$	simple
3.13.al_cf_aik	$3$	$\F_{13}$	$13$	$1 - 11 x + 57 x^{2} - 218 x^{3} + 741 x^{4} - 1859 x^{5} + 2197 x^{6}$	$3$	$0$	$3$	$908$	simple
3.13.al_cf_aij	$3$	$\F_{13}$	$13$	$1 - 11 x + 57 x^{2} - 217 x^{3} + 741 x^{4} - 1859 x^{5} + 2197 x^{6}$	$3$	$0$	$3$	$909$	simple
3.13.al_cf_aig	$3$	$\F_{13}$	$13$	$( 1 - 6 x + 13 x^{2} )( 1 - 5 x + 14 x^{2} - 65 x^{3} + 169 x^{4} )$	$3$	$0$	$3$	$912$	1.13.ag $\times$ 2.13.af_o
3.13.al_cj_ajl	$3$	$\F_{13}$	$13$	$1 - 11 x + 61 x^{2} - 245 x^{3} + 793 x^{4} - 1859 x^{5} + 2197 x^{6}$	$3$	$0$	$3$	$937$	simple
3.13.al_cj_ajf	$3$	$\F_{13}$	$13$	$1 - 11 x + 61 x^{2} - 239 x^{3} + 793 x^{4} - 1859 x^{5} + 2197 x^{6}$	$3$	$0$	$3$	$943$	simple
3.13.al_ck_aju	$3$	$\F_{13}$	$13$	$1 - 11 x + 62 x^{2} - 254 x^{3} + 806 x^{4} - 1859 x^{5} + 2197 x^{6}$	$3$	$0$	$3$	$942$	simple
3.13.al_ck_ajq	$3$	$\F_{13}$	$13$	$1 - 11 x + 62 x^{2} - 250 x^{3} + 806 x^{4} - 1859 x^{5} + 2197 x^{6}$	$3$	$0$	$3$	$946$	simple
3.13.al_cl_aka	$3$	$\F_{13}$	$13$	$1 - 11 x + 63 x^{2} - 260 x^{3} + 819 x^{4} - 1859 x^{5} + 2197 x^{6}$	$2$	$1$	$3$	$950$	simple
3.13.al_cl_ajz	$3$	$\F_{13}$	$13$	$1 - 11 x + 63 x^{2} - 259 x^{3} + 819 x^{4} - 1859 x^{5} + 2197 x^{6}$	$3$	$0$	$3$	$951$	simple
3.13.al_cl_ajw	$3$	$\F_{13}$	$13$	$( 1 - 5 x + 13 x^{2} )( 1 - 6 x + 20 x^{2} - 78 x^{3} + 169 x^{4} )$	$3$	$0$	$3$	$954$	1.13.af $\times$ 2.13.ag_u
3.13.al_cl_ajs	$3$	$\F_{13}$	$13$	$1 - 11 x + 63 x^{2} - 252 x^{3} + 819 x^{4} - 1859 x^{5} + 2197 x^{6}$	$3$	$0$	$3$	$958$	simple
3.13.al_cm_akc	$3$	$\F_{13}$	$13$	$1 - 11 x + 64 x^{2} - 262 x^{3} + 832 x^{4} - 1859 x^{5} + 2197 x^{6}$	$3$	$0$	$3$	$962$	simple
3.13.al_cn_ako	$3$	$\F_{13}$	$13$	$1 - 11 x + 65 x^{2} - 274 x^{3} + 845 x^{4} - 1859 x^{5} + 2197 x^{6}$	$3$	$0$	$3$	$964$	simple