LMFDB - Abelian variety search results

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End. degree	$p$-rank deficit	(Geom.) Sq.free

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Results (1-50 of 38160 matches)

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Label	Dimension	Base field	Base char.	L-polynomial	$p$-rank	$p$-rank deficit	points on curve	points on variety	Isogeny factors
4.4.aq_ei_arg_brc	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{8}$	$0$	$4$	$-11$	$1$	1.4.ae⁴
4.4.ap_dw_aoy_bky	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{6}( 1 - 3 x + 4 x^{2} )$	$1$	$3$	$-10$	$2$	1.4.ae³ $\times$ 1.4.ad
4.4.ao_dk_amq_beu	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{6}( 1 - 2 x + 4 x^{2} )$	$0$	$4$	$-9$	$3$	1.4.ae³ $\times$ 1.4.ac
4.4.ao_dl_amy_bfs	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{4}( 1 - 3 x + 4 x^{2} )^{2}$	$2$	$2$	$-9$	$4$	1.4.ae² $\times$ 1.4.ad²
4.4.an_cy_aki_yq	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{6}( 1 - x + 4 x^{2} )$	$1$	$3$	$-8$	$4$	1.4.ae³ $\times$ 1.4.ab
4.4.an_cz_akq_zo	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{4}( 1 - 5 x + 13 x^{2} - 20 x^{3} + 16 x^{4} )$	$2$	$2$	$-8$	$5$	1.4.ae² $\times$ 2.4.af_n
4.4.an_da_aky_bam	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{4}( 1 - 3 x + 4 x^{2} )( 1 - 2 x + 4 x^{2} )$	$1$	$3$	$-8$	$6$	1.4.ae² $\times$ 1.4.ad $\times$ 1.4.ac
4.4.an_db_alf_bbg	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{2}( 1 - 3 x + 4 x^{2} )^{3}$	$3$	$1$	$-8$	$8$	1.4.ae $\times$ 1.4.ad³
4.4.am_cm_aia_sm	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{6}( 1 + 4 x^{2} )$	$0$	$4$	$-7$	$5$	1.4.ae³ $\times$ 1.4.a
4.4.am_cn_aii_tk	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{4}( 1 - 4 x + 9 x^{2} - 16 x^{3} + 16 x^{4} )$	$2$	$2$	$-7$	$6$	1.4.ae² $\times$ 2.4.ae_j
4.4.am_cp_aiy_vg	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{4}( 1 - 3 x + 4 x^{2} )( 1 - x + 4 x^{2} )$	$2$	$2$	$-7$	$8$	1.4.ae² $\times$ 1.4.ad $\times$ 1.4.ab
4.4.am_cq_ajg_we	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{4}( 1 - 2 x + 4 x^{2} )^{2}$	$0$	$4$	$-7$	$9$	1.4.ae² $\times$ 1.4.ac²
4.4.am_cq_ajf_wa	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{2}( 1 - 3 x + 4 x^{2} )( 1 - 5 x + 13 x^{2} - 20 x^{3} + 16 x^{4} )$	$3$	$1$	$-7$	$10$	1.4.ae $\times$ 1.4.ad $\times$ 2.4.af_n
4.4.am_cr_ajm_wu	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{2}( 1 - 2 x + 4 x^{2} )( 1 - 3 x + 4 x^{2} )^{2}$	$2$	$2$	$-7$	$12$	1.4.ae $\times$ 1.4.ad² $\times$ 1.4.ac
4.4.am_cs_ajs_xl	$4$	$\F_{2^{2}}$	$2$	$( 1 - 3 x + 4 x^{2} )^{4}$	$4$	$0$	$-7$	$16$	1.4.ad⁴
4.4.al_ca_afs_mi	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{6}( 1 + x + 4 x^{2} )$	$1$	$3$	$-6$	$6$	1.4.ae³ $\times$ 1.4.b
4.4.al_cb_aga_ng	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{4}( 1 - 3 x + 5 x^{2} - 12 x^{3} + 16 x^{4} )$	$2$	$2$	$-6$	$7$	1.4.ae² $\times$ 2.4.ad_f
4.4.al_cc_agi_oe	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{4}( 1 - 3 x + 6 x^{2} - 12 x^{3} + 16 x^{4} )$	$1$	$3$	$-6$	$8$	1.4.ae² $\times$ 2.4.ad_g
4.4.al_cd_agq_pc	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{4}( 1 - 3 x + 7 x^{2} - 12 x^{3} + 16 x^{4} )$	$2$	$2$	$-6$	$9$	1.4.ae² $\times$ 2.4.ad_h
4.4.al_ce_agy_qa	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{4}( 1 - 3 x + 4 x^{2} )( 1 + 4 x^{2} )$	$1$	$3$	$-6$	$10$	1.4.ae² $\times$ 1.4.ad $\times$ 1.4.a
4.4.al_cf_ahg_qy	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{4}( 1 - 3 x + 9 x^{2} - 12 x^{3} + 16 x^{4} )$	$2$	$2$	$-6$	$11$	1.4.ae² $\times$ 2.4.ad_j
4.4.al_cf_ahf_qu	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{2}( 1 - 3 x + 4 x^{2} )( 1 - 4 x + 9 x^{2} - 16 x^{3} + 16 x^{4} )$	$3$	$1$	$-6$	$12$	1.4.ae $\times$ 1.4.ad $\times$ 2.4.ae_j
4.4.al_cg_aho_rw	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{4}( 1 - 2 x + 4 x^{2} )( 1 - x + 4 x^{2} )$	$1$	$3$	$-6$	$12$	1.4.ae² $\times$ 1.4.ac $\times$ 1.4.ab
4.4.al_cg_ahn_rs	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{2}( 1 - 7 x + 26 x^{2} - 63 x^{3} + 104 x^{4} - 112 x^{5} + 64 x^{6} )$	$3$	$1$	$-6$	$13$	1.4.ae $\times$ 3.4.ah_ba_acl
4.4.al_ch_ahu_sm	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{2}( 1 - 2 x + 4 x^{2} )( 1 - 5 x + 13 x^{2} - 20 x^{3} + 16 x^{4} )$	$2$	$2$	$-6$	$15$	1.4.ae $\times$ 1.4.ac $\times$ 2.4.af_n
4.4.al_ch_aht_si	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{2}( 1 - x + 4 x^{2} )( 1 - 3 x + 4 x^{2} )^{2}$	$3$	$1$	$-6$	$16$	1.4.ae $\times$ 1.4.ad² $\times$ 1.4.ab
4.4.al_ci_aia_tc	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{2}( 1 - 3 x + 4 x^{2} )( 1 - 2 x + 4 x^{2} )^{2}$	$1$	$3$	$-6$	$18$	1.4.ae $\times$ 1.4.ad $\times$ 1.4.ac²
4.4.al_ci_ahz_sz	$4$	$\F_{2^{2}}$	$2$	$( 1 - 3 x + 4 x^{2} )^{2}( 1 - 5 x + 13 x^{2} - 20 x^{3} + 16 x^{4} )$	$4$	$0$	$-6$	$20$	1.4.ad² $\times$ 2.4.af_n
4.4.al_cj_aif_tq	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x + 4 x^{2} )( 1 - 3 x + 4 x^{2} )^{3}$	$3$	$1$	$-6$	$24$	1.4.ad³ $\times$ 1.4.ac
4.4.ak_bo_adk_ge	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{6}( 1 + 2 x + 4 x^{2} )$	$0$	$4$	$-5$	$7$	1.4.ae³ $\times$ 1.4.c
4.4.ak_bp_ads_hc	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{4}( 1 - 2 x + x^{2} - 8 x^{3} + 16 x^{4} )$	$2$	$2$	$-5$	$8$	1.4.ae² $\times$ 2.4.ac_b
4.4.ak_br_aei_iy	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{4}( 1 - 2 x + 3 x^{2} - 8 x^{3} + 16 x^{4} )$	$2$	$2$	$-5$	$10$	1.4.ae² $\times$ 2.4.ac_d
4.4.ak_bs_aeq_jw	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{4}( 1 - 2 x + 4 x^{2} - 8 x^{3} + 16 x^{4} )$	$0$	$4$	$-5$	$11$	1.4.ae² $\times$ 2.4.ac_e
4.4.ak_bt_aey_ku	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{4}( 1 - 3 x + 4 x^{2} )( 1 + x + 4 x^{2} )$	$2$	$2$	$-5$	$12$	1.4.ae² $\times$ 1.4.ad $\times$ 1.4.b
4.4.ak_bt_aex_kq	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{2}( 1 - 6 x + 17 x^{2} - 35 x^{3} + 68 x^{4} - 96 x^{5} + 64 x^{6} )$	$3$	$1$	$-5$	$13$	1.4.ae $\times$ 3.4.ag_r_abj
4.4.ak_bu_aff_lo	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{2}( 1 - 3 x + 4 x^{2} )( 1 - 3 x + 5 x^{2} - 12 x^{3} + 16 x^{4} )$	$3$	$1$	$-5$	$14$	1.4.ae $\times$ 1.4.ad $\times$ 2.4.ad_f
4.4.ak_bv_afo_mq	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{4}( 1 - 2 x + 7 x^{2} - 8 x^{3} + 16 x^{4} )$	$2$	$2$	$-5$	$14$	1.4.ae² $\times$ 2.4.ac_h
4.4.ak_bv_afn_mm	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{2}( 1 - 6 x + 19 x^{2} - 43 x^{3} + 76 x^{4} - 96 x^{5} + 64 x^{6} )$	$3$	$1$	$-5$	$15$	1.4.ae $\times$ 3.4.ag_t_abr
4.4.ak_bv_afm_mi	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{2}( 1 - 3 x + 4 x^{2} )( 1 - 3 x + 6 x^{2} - 12 x^{3} + 16 x^{4} )$	$2$	$2$	$-5$	$16$	1.4.ae $\times$ 1.4.ad $\times$ 2.4.ad_g
4.4.ak_bw_afw_no	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{4}( 1 - 2 x + 4 x^{2} )( 1 + 4 x^{2} )$	$0$	$4$	$-5$	$15$	1.4.ae² $\times$ 1.4.ac $\times$ 1.4.a
4.4.ak_bw_afv_nk	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{2}( 1 - 6 x + 20 x^{2} - 47 x^{3} + 80 x^{4} - 96 x^{5} + 64 x^{6} )$	$3$	$1$	$-5$	$16$	1.4.ae $\times$ 3.4.ag_u_abv
4.4.ak_bw_aft_nc	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{2}( 1 - 3 x + 4 x^{2} )( 1 - 3 x + 7 x^{2} - 12 x^{3} + 16 x^{4} )$	$3$	$1$	$-5$	$18$	1.4.ae $\times$ 1.4.ad $\times$ 2.4.ad_h
4.4.ak_bx_age_om	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{4}( 1 - x + 4 x^{2} )^{2}$	$2$	$2$	$-5$	$16$	1.4.ae² $\times$ 1.4.ab²
4.4.ak_bx_agd_oi	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{2}( 1 - 6 x + 21 x^{2} - 51 x^{3} + 84 x^{4} - 96 x^{5} + 64 x^{6} )$	$3$	$1$	$-5$	$17$	1.4.ae $\times$ 3.4.ag_v_abz
4.4.ak_bx_agc_oe	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{2}( 1 - 2 x + 4 x^{2} )( 1 - 4 x + 9 x^{2} - 16 x^{3} + 16 x^{4} )$	$2$	$2$	$-5$	$18$	1.4.ae $\times$ 1.4.ac $\times$ 2.4.ae_j
4.4.ak_bx_agb_oa	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{2}( 1 - 6 x + 21 x^{2} - 49 x^{3} + 84 x^{4} - 96 x^{5} + 64 x^{6} )$	$3$	$1$	$-5$	$19$	1.4.ae $\times$ 3.4.ag_v_abx
4.4.ak_bx_aga_nw	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{2}( 1 + 4 x^{2} )( 1 - 3 x + 4 x^{2} )^{2}$	$2$	$2$	$-5$	$20$	1.4.ae $\times$ 1.4.ad² $\times$ 1.4.a
4.4.ak_by_agj_oy	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{2}( 1 - x + 4 x^{2} )( 1 - 5 x + 13 x^{2} - 20 x^{3} + 16 x^{4} )$	$3$	$1$	$-5$	$20$	1.4.ae $\times$ 1.4.ab $\times$ 2.4.af_n
4.4.ak_by_agh_oq	$4$	$\F_{2^{2}}$	$2$	$( 1 - 2 x )^{2}( 1 - 3 x + 4 x^{2} )( 1 - 3 x + 9 x^{2} - 12 x^{3} + 16 x^{4} )$	$3$	$1$	$-5$	$22$	1.4.ae $\times$ 1.4.ad $\times$ 2.4.ad_j
4.4.ak_by_agg_on	$4$	$\F_{2^{2}}$	$2$	$( 1 - 3 x + 4 x^{2} )^{2}( 1 - 4 x + 9 x^{2} - 16 x^{3} + 16 x^{4} )$	$4$	$0$	$-5$	$24$	1.4.ad² $\times$ 2.4.ae_j

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Results (1-50 of 38160 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

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