Abelian variety search results

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

Results (1-50 of 15507 matches)

 

Label	Dimension	Base field	Base char.	L-polynomial	$p$-rank	$p$-rank deficit	points on curve	points on variety	Isogeny factors
3.13.ak_bx_ahc	$3$	$\F_{13}$	$13$	$1 - 10 x + 49 x^{2} - 184 x^{3} + 637 x^{4} - 1690 x^{5} + 2197 x^{6}$	$3$	$0$	$4$	$1000$	simple
3.13.ak_by_ahi	$3$	$\F_{13}$	$13$	$( 1 - 7 x + 13 x^{2} )( 1 - 5 x + 13 x^{2} )( 1 + 2 x + 13 x^{2} )$	$3$	$0$	$4$	$1008$	1.13.ah $\times$ 1.13.af $\times$ 1.13.c
3.13.ak_by_ahe	$3$	$\F_{13}$	$13$	$1 - 10 x + 50 x^{2} - 186 x^{3} + 650 x^{4} - 1690 x^{5} + 2197 x^{6}$	$3$	$0$	$4$	$1012$	simple
3.13.ak_bz_aho	$3$	$\F_{13}$	$13$	$1 - 10 x + 51 x^{2} - 196 x^{3} + 663 x^{4} - 1690 x^{5} + 2197 x^{6}$	$3$	$0$	$4$	$1016$	simple
3.13.ak_bz_ahg	$3$	$\F_{13}$	$13$	$( 1 + 2 x + 13 x^{2} )( 1 - 6 x + 13 x^{2} )^{2}$	$3$	$0$	$4$	$1024$	1.13.ag^2 $\times$ 1.13.c
3.13.ak_cc_aig	$3$	$\F_{13}$	$13$	$1 - 10 x + 54 x^{2} - 214 x^{3} + 702 x^{4} - 1690 x^{5} + 2197 x^{6}$	$3$	$0$	$4$	$1040$	simple
3.13.ak_cc_aic	$3$	$\F_{13}$	$13$	$( 1 - 5 x + 13 x^{2} )( 1 - 5 x + 16 x^{2} - 65 x^{3} + 169 x^{4} )$	$3$	$0$	$4$	$1044$	1.13.af $\times$ 2.13.af_q
3.13.ak_cd_aiu	$3$	$\F_{13}$	$13$	$( 1 - 4 x + 13 x^{2} )( 1 - 6 x + 18 x^{2} - 78 x^{3} + 169 x^{4} )$	$3$	$0$	$4$	$1040$	1.13.ae $\times$ 2.13.ag_s
3.13.ak_cd_aii	$3$	$\F_{13}$	$13$	$1 - 10 x + 55 x^{2} - 216 x^{3} + 715 x^{4} - 1690 x^{5} + 2197 x^{6}$	$3$	$0$	$4$	$1052$	simple
3.13.ak_cf_aiy	$3$	$\F_{13}$	$13$	$1 - 10 x + 57 x^{2} - 232 x^{3} + 741 x^{4} - 1690 x^{5} + 2197 x^{6}$	$3$	$0$	$4$	$1064$	simple
3.13.ak_cg_aje	$3$	$\F_{13}$	$13$	$1 - 10 x + 58 x^{2} - 238 x^{3} + 754 x^{4} - 1690 x^{5} + 2197 x^{6}$	$3$	$0$	$4$	$1072$	simple
3.13.ak_cg_aja	$3$	$\F_{13}$	$13$	$1 - 10 x + 58 x^{2} - 234 x^{3} + 754 x^{4} - 1690 x^{5} + 2197 x^{6}$	$2$	$1$	$4$	$1076$	simple
3.13.ak_ch_ajs	$3$	$\F_{13}$	$13$	$1 - 10 x + 59 x^{2} - 252 x^{3} + 767 x^{4} - 1690 x^{5} + 2197 x^{6}$	$3$	$0$	$4$	$1072$	simple
3.13.ak_ch_ajk	$3$	$\F_{13}$	$13$	$( 1 - 4 x + 13 x^{2} )( 1 - 6 x + 22 x^{2} - 78 x^{3} + 169 x^{4} )$	$3$	$0$	$4$	$1080$	1.13.ae $\times$ 2.13.ag_w
3.13.ak_ch_ajg	$3$	$\F_{13}$	$13$	$1 - 10 x + 59 x^{2} - 240 x^{3} + 767 x^{4} - 1690 x^{5} + 2197 x^{6}$	$3$	$0$	$4$	$1084$	simple
3.13.ak_cj_ake	$3$	$\F_{13}$	$13$	$1 - 10 x + 61 x^{2} - 264 x^{3} + 793 x^{4} - 1690 x^{5} + 2197 x^{6}$	$3$	$0$	$4$	$1088$	simple
3.13.ak_cj_aka	$3$	$\F_{13}$	$13$	$( 1 + 13 x^{2} )( 1 - 10 x + 48 x^{2} - 130 x^{3} + 169 x^{4} )$	$2$	$1$	$4$	$1092$	1.13.a $\times$ 2.13.ak_bw
3.13.ak_cj_ajs	$3$	$\F_{13}$	$13$	$( 1 - 4 x + 13 x^{2} )( 1 - 6 x + 24 x^{2} - 78 x^{3} + 169 x^{4} )$	$3$	$0$	$4$	$1100$	1.13.ae $\times$ 2.13.ag_y
3.13.ak_ck_akc	$3$	$\F_{13}$	$13$	$1 - 10 x + 62 x^{2} - 262 x^{3} + 806 x^{4} - 1690 x^{5} + 2197 x^{6}$	$3$	$0$	$4$	$1104$	simple
3.13.ak_ck_ajy	$3$	$\F_{13}$	$13$	$1 - 10 x + 62 x^{2} - 258 x^{3} + 806 x^{4} - 1690 x^{5} + 2197 x^{6}$	$3$	$0$	$4$	$1108$	simple
3.13.ak_cl_aka	$3$	$\F_{13}$	$13$	$( 1 - 6 x + 13 x^{2} )( 1 - 4 x + 13 x^{2} )( 1 + 13 x^{2} )$	$2$	$1$	$4$	$1120$	1.13.ag $\times$ 1.13.ae $\times$ 1.13.a
3.13.ak_cm_ako	$3$	$\F_{13}$	$13$	$1 - 10 x + 64 x^{2} - 274 x^{3} + 832 x^{4} - 1690 x^{5} + 2197 x^{6}$	$3$	$0$	$4$	$1120$	simple
3.13.ak_cp_aky	$3$	$\F_{13}$	$13$	$( 1 - 6 x + 13 x^{2} )( 1 - 2 x + 13 x^{2} )^{2}$	$3$	$0$	$4$	$1152$	1.13.ag $\times$ 1.13.ac^2
3.13.aj_bn_afe	$3$	$\F_{13}$	$13$	$( 1 - 5 x + 13 x^{2} )( 1 - 4 x + 6 x^{2} - 52 x^{3} + 169 x^{4} )$	$3$	$0$	$5$	$1080$	1.13.af $\times$ 2.13.ae_g
3.13.aj_br_agk	$3$	$\F_{13}$	$13$	$1 - 9 x + 43 x^{2} - 166 x^{3} + 559 x^{4} - 1521 x^{5} + 2197 x^{6}$	$3$	$0$	$5$	$1104$	simple
3.13.aj_br_agj	$3$	$\F_{13}$	$13$	$1 - 9 x + 43 x^{2} - 165 x^{3} + 559 x^{4} - 1521 x^{5} + 2197 x^{6}$	$3$	$0$	$5$	$1105$	simple
3.13.aj_br_afz	$3$	$\F_{13}$	$13$	$1 - 9 x + 43 x^{2} - 155 x^{3} + 559 x^{4} - 1521 x^{5} + 2197 x^{6}$	$3$	$0$	$5$	$1115$	simple
3.13.aj_bs_agi	$3$	$\F_{13}$	$13$	$1 - 9 x + 44 x^{2} - 164 x^{3} + 572 x^{4} - 1521 x^{5} + 2197 x^{6}$	$3$	$0$	$5$	$1120$	simple
3.13.aj_bt_agk	$3$	$\F_{13}$	$13$	$1 - 9 x + 45 x^{2} - 166 x^{3} + 585 x^{4} - 1521 x^{5} + 2197 x^{6}$	$3$	$0$	$5$	$1132$	simple
3.13.aj_bu_agw	$3$	$\F_{13}$	$13$	$1 - 9 x + 46 x^{2} - 178 x^{3} + 598 x^{4} - 1521 x^{5} + 2197 x^{6}$	$3$	$0$	$5$	$1134$	simple
3.13.aj_bv_ahi	$3$	$\F_{13}$	$13$	$1 - 9 x + 47 x^{2} - 190 x^{3} + 611 x^{4} - 1521 x^{5} + 2197 x^{6}$	$3$	$0$	$5$	$1136$	simple
3.13.aj_bx_ahu	$3$	$\F_{13}$	$13$	$1 - 9 x + 49 x^{2} - 202 x^{3} + 637 x^{4} - 1521 x^{5} + 2197 x^{6}$	$3$	$0$	$5$	$1152$	simple
3.13.aj_bx_ahq	$3$	$\F_{13}$	$13$	$1 - 9 x + 49 x^{2} - 198 x^{3} + 637 x^{4} - 1521 x^{5} + 2197 x^{6}$	$3$	$0$	$5$	$1156$	simple
3.13.aj_bz_aig	$3$	$\F_{13}$	$13$	$1 - 9 x + 51 x^{2} - 214 x^{3} + 663 x^{4} - 1521 x^{5} + 2197 x^{6}$	$3$	$0$	$5$	$1168$	simple
3.13.aj_ca_aia	$3$	$\F_{13}$	$13$	$1 - 9 x + 52 x^{2} - 208 x^{3} + 676 x^{4} - 1521 x^{5} + 2197 x^{6}$	$1$	$2$	$5$	$1188$	simple
3.13.aj_cb_aim	$3$	$\F_{13}$	$13$	$1 - 9 x + 53 x^{2} - 220 x^{3} + 689 x^{4} - 1521 x^{5} + 2197 x^{6}$	$3$	$0$	$5$	$1190$	simple
3.13.aj_cb_aik	$3$	$\F_{13}$	$13$	$1 - 9 x + 53 x^{2} - 218 x^{3} + 689 x^{4} - 1521 x^{5} + 2197 x^{6}$	$3$	$0$	$5$	$1192$	simple
3.13.aj_cb_aih	$3$	$\F_{13}$	$13$	$1 - 9 x + 53 x^{2} - 215 x^{3} + 689 x^{4} - 1521 x^{5} + 2197 x^{6}$	$3$	$0$	$5$	$1195$	simple
3.13.aj_cb_aic	$3$	$\F_{13}$	$13$	$( 1 - 6 x + 13 x^{2} )( 1 - 4 x + 13 x^{2} )( 1 + x + 13 x^{2} )$	$3$	$0$	$5$	$1200$	1.13.ag $\times$ 1.13.ae $\times$ 1.13.b
3.13.ai_t_au	$3$	$\F_{13}$	$13$	$1 - 8 x + 19 x^{2} - 20 x^{3} + 247 x^{4} - 1352 x^{5} + 2197 x^{6}$	$3$	$0$	$6$	$1084$	simple
3.13.ai_x_abw	$3$	$\F_{13}$	$13$	$1 - 8 x + 23 x^{2} - 48 x^{3} + 299 x^{4} - 1352 x^{5} + 2197 x^{6}$	$3$	$0$	$6$	$1112$	simple
3.13.ai_x_abs	$3$	$\F_{13}$	$13$	$1 - 8 x + 23 x^{2} - 44 x^{3} + 299 x^{4} - 1352 x^{5} + 2197 x^{6}$	$3$	$0$	$6$	$1116$	simple
3.13.ai_y_acc	$3$	$\F_{13}$	$13$	$( 1 - 7 x + 13 x^{2} )( 1 - x + 4 x^{2} - 13 x^{3} + 169 x^{4} )$	$3$	$0$	$6$	$1120$	1.13.ah $\times$ 2.13.ab_e
3.13.ai_y_aby	$3$	$\F_{13}$	$13$	$1 - 8 x + 24 x^{2} - 50 x^{3} + 312 x^{4} - 1352 x^{5} + 2197 x^{6}$	$3$	$0$	$6$	$1124$	simple
3.13.ai_z_aci	$3$	$\F_{13}$	$13$	$1 - 8 x + 25 x^{2} - 60 x^{3} + 325 x^{4} - 1352 x^{5} + 2197 x^{6}$	$3$	$0$	$6$	$1128$	simple
3.13.ai_bb_acy	$3$	$\F_{13}$	$13$	$1 - 8 x + 27 x^{2} - 76 x^{3} + 351 x^{4} - 1352 x^{5} + 2197 x^{6}$	$3$	$0$	$6$	$1140$	simple
3.13.ai_bb_acu	$3$	$\F_{13}$	$13$	$1 - 8 x + 27 x^{2} - 72 x^{3} + 351 x^{4} - 1352 x^{5} + 2197 x^{6}$	$3$	$0$	$6$	$1144$	simple
3.13.ai_bb_acq	$3$	$\F_{13}$	$13$	$1 - 8 x + 27 x^{2} - 68 x^{3} + 351 x^{4} - 1352 x^{5} + 2197 x^{6}$	$3$	$0$	$6$	$1148$	simple
3.13.ai_bb_acm	$3$	$\F_{13}$	$13$	$( 1 + 4 x + 13 x^{2} )( 1 - 6 x + 13 x^{2} )^{2}$	$3$	$0$	$6$	$1152$	1.13.ag^2 $\times$ 1.13.e
3.13.ai_bc_adi	$3$	$\F_{13}$	$13$	$1 - 8 x + 28 x^{2} - 86 x^{3} + 364 x^{4} - 1352 x^{5} + 2197 x^{6}$	$3$	$0$	$6$	$1144$	simple