LMFDB - Abelian variety isogeny class 6.2.aj_bm_adt_gk_aig_km over $\F

Invariants

Base field:	$\F_{2}$
Dimension:	$6$
L-polynomial:	$( 1 - 2 x + 2 x^{2} )^{3}( 1 - 3 x + 2 x^{2} + x^{3} + 4 x^{4} - 12 x^{5} + 8 x^{6} )$
	$1 - 9 x + 38 x^{2} - 97 x^{3} + 166 x^{4} - 214 x^{5} + 272 x^{6} - 428 x^{7} + 664 x^{8} - 776 x^{9} + 608 x^{10} - 288 x^{11} + 64 x^{12}$
Frobenius angles:	$\pm0.0992589862044$, $\pm0.186455299510$, $\pm0.250000000000$, $\pm0.250000000000$, $\pm0.250000000000$, $\pm0.757883870938$
Angle rank:	$1$ (numerical)
Jacobians:	$0$

This isogeny class is not simple, primitive, not ordinary, and not supersingular. It is principally polarizable.

Newton polygon

$p$-rank:	$3$
Slopes:	$[0, 0, 0, 1/2, 1/2, 1/2, 1/2, 1/2, 1/2, 1, 1, 1]$

Point counts

Point counts of the abelian variety

$r$	$1$	$2$	$3$	$4$	$5$
$A(\F_{q^r})$	$1$	$3625$	$661297$	$127328125$	$2402654981$

Point counts of the (virtual) curve

$r$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$
$C(\F_{q^r})$	$-6$	$0$	$15$	$52$	$59$	$87$	$120$	$156$	$474$	$1015$

Jacobians and polarizations

This isogeny class is principally polarizable, but does not contain a Jacobian.

Decomposition and endomorphism algebra

All geometric endomorphisms are defined over $\F_{2^{28}}$.

Endomorphism algebra over $\F_{2}$

The isogeny class factors as 1.2.ac³ $\times$ 3.2.ad_c_b and its endomorphism algebra is a direct product of the endomorphism algebras for each isotypic factor. The endomorphism algebra for each factor is:

1.2.ac³ : $\mathrm{M}_{3}($$\Q(\sqrt{-1}) $$)$
3.2.ad_c_b : $\Q(\zeta_{7})$.

Endomorphism algebra over $\overline{\F}_{2}$

The base change of $A$ to $\F_{2^{28}}$ is 1.268435456.blhf³ $\times$ 1.268435456.bwmi³. The endomorphism algebra for each factor is:

1.268435456.blhf³ : $\mathrm{M}_{3}($$\Q(\sqrt{-7}) $$)$
1.268435456.bwmi³ : $\mathrm{M}_{3}(B)$, where $B$ is the quaternion algebra over $\Q$ ramified at $2$ and $\infty$.

Remainder of endomorphism lattice by field

Endomorphism algebra over $\F_{2^{2}}$

The base change of $A$ to $\F_{2^{2}}$ is 1.4.a³ $\times$ 3.4.af_s_abp. The endomorphism algebra for each factor is:

1.4.a³ : $\mathrm{M}_{3}($$\Q(\sqrt{-1}) $$)$
3.4.af_s_abp : $\Q(\zeta_{7})$.

Endomorphism algebra over $\F_{2^{4}}$

The base change of $A$ to $\F_{2^{4}}$ is 1.16.i³ $\times$ 3.16.l_cg_jf. The endomorphism algebra for each factor is:

1.16.i³ : $\mathrm{M}_{3}(B)$, where $B$ is the quaternion algebra over $\Q$ ramified at $2$ and $\infty$.
3.16.l_cg_jf : $\Q(\zeta_{7})$.

Endomorphism algebra over $\F_{2^{7}}$

The base change of $A$ to $\F_{2^{7}}$ is 1.128.aq³ $\times$ 1.128.n³. The endomorphism algebra for each factor is:

1.128.aq³ : $\mathrm{M}_{3}($$\Q(\sqrt{-1}) $$)$
1.128.n³ : $\mathrm{M}_{3}($$\Q(\sqrt{-7}) $$)$

Endomorphism algebra over $\F_{2^{14}}$

The base change of $A$ to $\F_{2^{14}}$ is 1.16384.a³ $\times$ 1.16384.dj³. The endomorphism algebra for each factor is:

1.16384.a³ : $\mathrm{M}_{3}($$\Q(\sqrt{-1}) $$)$
1.16384.dj³ : $\mathrm{M}_{3}($$\Q(\sqrt{-7}) $$)$

Base change

This is a primitive isogeny class.

Twists

Below are some of the twists of this isogeny class.

Twist	Extension degree	Common base change
6.2.af_k_aj_k_abm_dc	$2$	(not in LMFDB)
6.2.ad_c_j_ao_ak_bw	$2$	(not in LMFDB)
6.2.ab_ac_ab_o_ag_aq	$2$	(not in LMFDB)
6.2.b_ac_b_o_g_aq	$2$	(not in LMFDB)
6.2.d_c_aj_ao_k_bw	$2$	(not in LMFDB)
6.2.f_k_j_k_bm_dc	$2$	(not in LMFDB)
6.2.j_bm_dt_gk_ig_km	$2$	(not in LMFDB)
6.2.ad_c_f_ai_ae_u	$3$	(not in LMFDB)

Below is a list of all twists of this isogeny class.

Twist	Extension degree	Common base change
6.2.af_k_aj_k_abm_dc	$2$	(not in LMFDB)
6.2.ad_c_j_ao_ak_bw	$2$	(not in LMFDB)
6.2.ab_ac_ab_o_ag_aq	$2$	(not in LMFDB)
6.2.b_ac_b_o_g_aq	$2$	(not in LMFDB)
6.2.d_c_aj_ao_k_bw	$2$	(not in LMFDB)
6.2.f_k_j_k_bm_dc	$2$	(not in LMFDB)
6.2.j_bm_dt_gk_ig_km	$2$	(not in LMFDB)
6.2.ad_c_f_ai_ae_u	$3$	(not in LMFDB)
6.2.ah_w_abr_cq_aee_gi	$6$	(not in LMFDB)
6.2.ad_c_ad_q_au_m	$6$	(not in LMFDB)
6.2.ab_ac_d_e_ae_ae	$6$	(not in LMFDB)
6.2.b_ac_ad_e_e_ae	$6$	(not in LMFDB)
6.2.d_c_af_ai_e_u	$6$	(not in LMFDB)
6.2.d_c_d_q_u_m	$6$	(not in LMFDB)
6.2.h_w_br_cq_ee_gi	$6$	(not in LMFDB)
6.2.aj_bt_afx_pa_abdu_bvc	$7$	(not in LMFDB)
6.2.ac_d_b_ac_k_ai	$7$	(not in LMFDB)
6.2.ah_y_acb_dk_aew_gu	$8$	(not in LMFDB)
6.2.af_g_l_abe_ac_ce	$8$	(not in LMFDB)
6.2.af_o_abd_by_acw_ea	$8$	(not in LMFDB)
6.2.ad_a_h_ae_ac_a	$8$	(not in LMFDB)
6.2.ad_e_af_m_aw_bg	$8$	(not in LMFDB)
6.2.ad_i_ar_bc_abq_cm	$8$	(not in LMFDB)
6.2.ab_ag_d_w_ac_ace	$8$	(not in LMFDB)
6.2.ab_a_f_a_ac_q	$8$	(not in LMFDB)
6.2.ab_c_af_g_ak_y	$8$	(not in LMFDB)
6.2.b_ag_ad_w_c_ace	$8$	(not in LMFDB)
6.2.b_a_af_a_c_q	$8$	(not in LMFDB)
6.2.b_c_f_g_k_y	$8$	(not in LMFDB)
6.2.d_a_ah_ae_c_a	$8$	(not in LMFDB)
6.2.d_e_f_m_w_bg	$8$	(not in LMFDB)
6.2.d_i_r_bc_bq_cm	$8$	(not in LMFDB)
6.2.f_g_al_abe_c_ce	$8$	(not in LMFDB)
6.2.f_o_bd_by_cw_ea	$8$	(not in LMFDB)
6.2.h_y_cb_dk_ew_gu	$8$	(not in LMFDB)
6.2.ak_bz_agr_qs_abgs_bzk	$14$	(not in LMFDB)
6.2.ah_bd_adf_he_ana_ua	$14$	(not in LMFDB)
6.2.ag_t_abp_cs_aec_fw	$14$	(not in LMFDB)
6.2.af_r_abp_di_afu_iy	$14$	(not in LMFDB)
6.2.af_r_abl_co_adq_fg	$14$	(not in LMFDB)
6.2.ad_j_at_bq_aco_ea	$14$	(not in LMFDB)
6.2.ad_j_ap_be_abq_cu	$14$	(not in LMFDB)
6.2.ac_d_af_k_as_y	$14$	(not in LMFDB)
6.2.ab_f_af_s_ao_bo	$14$	(not in LMFDB)
6.2.ab_f_ab_o_ag_bo	$14$	(not in LMFDB)
6.2.b_f_b_o_g_bo	$14$	(not in LMFDB)
6.2.b_f_f_s_o_bo	$14$	(not in LMFDB)
6.2.c_d_ab_ac_ak_ai	$14$	(not in LMFDB)
6.2.c_d_f_k_s_y	$14$	(not in LMFDB)
6.2.d_j_p_be_bq_cu	$14$	(not in LMFDB)
6.2.d_j_t_bq_co_ea	$14$	(not in LMFDB)
6.2.f_r_bl_co_dq_fg	$14$	(not in LMFDB)
6.2.f_r_bp_di_fu_iy	$14$	(not in LMFDB)
6.2.g_t_bp_cs_ec_fw	$14$	(not in LMFDB)
6.2.h_bd_df_he_na_ua	$14$	(not in LMFDB)
6.2.j_bt_fx_pa_bdu_bvc	$14$	(not in LMFDB)
6.2.k_bz_gr_qs_bgs_bzk	$14$	(not in LMFDB)
6.2.ag_s_abb_g_co_afo	$21$	(not in LMFDB)
6.2.ad_j_aj_g_y_abk	$21$	(not in LMFDB)
6.2.a_a_j_a_a_bk	$21$	(not in LMFDB)
6.2.e_j_t_bi_ca_cy	$21$	(not in LMFDB)
6.2.af_i_b_ak_au_cq	$24$	(not in LMFDB)
6.2.af_m_ax_bq_acm_dk	$24$	(not in LMFDB)
6.2.af_m_at_be_ace_do	$24$	(not in LMFDB)
6.2.ad_c_b_e_am_q	$24$	(not in LMFDB)
6.2.ad_g_al_u_abg_bw	$24$	(not in LMFDB)
6.2.ab_ae_b_s_ae_abk	$24$	(not in LMFDB)
6.2.ab_a_ad_k_ai_e	$24$	(not in LMFDB)
6.2.ab_a_b_ac_a_i	$24$	(not in LMFDB)
6.2.b_ae_ab_s_e_abk	$24$	(not in LMFDB)
6.2.b_a_ab_ac_a_i	$24$	(not in LMFDB)
6.2.b_a_d_k_i_e	$24$	(not in LMFDB)
6.2.d_c_ab_e_m_q	$24$	(not in LMFDB)
6.2.d_g_l_u_bg_bw	$24$	(not in LMFDB)
6.2.f_i_ab_ak_u_cq	$24$	(not in LMFDB)
6.2.f_m_t_be_ce_do	$24$	(not in LMFDB)
6.2.f_m_x_bq_cm_dk	$24$	(not in LMFDB)
6.2.ah_x_abp_be_bi_aea	$28$	(not in LMFDB)
6.2.af_l_al_c_g_ai	$28$	(not in LMFDB)
6.2.ad_d_d_ag_ag_y	$28$	(not in LMFDB)
6.2.ab_ab_b_g_ac_ai	$28$	(not in LMFDB)
6.2.b_ab_ab_g_c_ai	$28$	(not in LMFDB)
6.2.d_d_ad_ag_g_y	$28$	(not in LMFDB)
6.2.f_l_l_c_ag_ai	$28$	(not in LMFDB)
6.2.h_x_bp_be_abi_aea	$28$	(not in LMFDB)
6.2.ai_bg_adf_gc_ajm_no	$42$	(not in LMFDB)
6.2.ai_bh_adr_ig_apg_xo	$42$	(not in LMFDB)
6.2.ah_bd_adh_hm_anw_vk	$42$	(not in LMFDB)
6.2.ag_s_abn_cu_aeq_gy	$42$	(not in LMFDB)
6.2.ag_s_abl_co_aek_gu	$42$	(not in LMFDB)
6.2.af_r_abr_dm_age_jk	$42$	(not in LMFDB)
6.2.ae_i_ar_bk_ace_cy	$42$	(not in LMFDB)
6.2.ae_i_al_s_abm_cm	$42$	(not in LMFDB)
6.2.ae_i_ah_ae_y_abs	$42$	(not in LMFDB)
6.2.ae_i_af_ag_w_abg	$42$	(not in LMFDB)
6.2.ae_j_at_bi_aca_cy	$42$	(not in LMFDB)
6.2.ae_j_al_c_u_abs	$42$	(not in LMFDB)
6.2.ad_j_av_bq_acu_ee	$42$	(not in LMFDB)
6.2.ad_j_ar_be_abw_cq	$42$	(not in LMFDB)
6.2.ac_c_ah_m_aq_bc	$42$	(not in LMFDB)
6.2.ac_c_af_o_as_q	$42$	(not in LMFDB)
6.2.ac_c_ab_a_i_au	$42$	(not in LMFDB)
6.2.ac_c_b_ae_a_e	$42$	(not in LMFDB)
6.2.ac_c_f_ag_c_q	$42$	(not in LMFDB)
6.2.ab_f_al_s_abg_ca	$42$	(not in LMFDB)
6.2.ab_f_ah_o_ay_bc	$42$	(not in LMFDB)
6.2.ab_f_b_g_q_e	$42$	(not in LMFDB)
6.2.a_a_aj_a_a_bk	$42$	(not in LMFDB)
6.2.a_a_ad_g_ag_a	$42$	(not in LMFDB)
6.2.a_a_ab_a_a_ae	$42$	(not in LMFDB)
6.2.a_a_b_a_a_ae	$42$	(not in LMFDB)
6.2.a_a_d_g_g_a	$42$	(not in LMFDB)
6.2.a_b_ab_ac_e_ae	$42$	(not in LMFDB)
6.2.a_b_b_ac_ae_ae	$42$	(not in LMFDB)
6.2.b_f_ab_g_aq_e	$42$	(not in LMFDB)
6.2.b_f_h_o_y_bc	$42$	(not in LMFDB)
6.2.b_f_l_s_bg_ca	$42$	(not in LMFDB)
6.2.c_c_af_ag_ac_q	$42$	(not in LMFDB)
6.2.c_c_ab_ae_a_e	$42$	(not in LMFDB)
6.2.c_c_b_a_ai_au	$42$	(not in LMFDB)
6.2.c_c_f_o_s_q	$42$	(not in LMFDB)
6.2.c_c_h_m_q_bc	$42$	(not in LMFDB)
6.2.d_j_j_g_ay_abk	$42$	(not in LMFDB)
6.2.d_j_r_be_bw_cq	$42$	(not in LMFDB)
6.2.d_j_v_bq_cu_ee	$42$	(not in LMFDB)
6.2.e_i_f_ag_aw_abg	$42$	(not in LMFDB)
6.2.e_i_h_ae_ay_abs	$42$	(not in LMFDB)
6.2.e_i_l_s_bm_cm	$42$	(not in LMFDB)
6.2.e_i_r_bk_ce_cy	$42$	(not in LMFDB)
6.2.e_j_l_c_au_abs	$42$	(not in LMFDB)
6.2.f_r_br_dm_ge_jk	$42$	(not in LMFDB)
6.2.g_s_bb_g_aco_afo	$42$	(not in LMFDB)
6.2.g_s_bl_co_ek_gu	$42$	(not in LMFDB)
6.2.g_s_bn_cu_eq_gy	$42$	(not in LMFDB)
6.2.h_bd_dh_hm_nw_vk	$42$	(not in LMFDB)
6.2.i_bg_df_gc_jm_no	$42$	(not in LMFDB)
6.2.i_bh_dr_ig_pg_xo	$42$	(not in LMFDB)
6.2.ai_bj_aed_js_ask_bcq	$56$	(not in LMFDB)
6.2.ah_bf_adr_iu_aqs_bae	$56$	(not in LMFDB)
6.2.ag_p_ar_ag_cg_aei	$56$	(not in LMFDB)
6.2.ag_x_acn_fq_akk_qa	$56$	(not in LMFDB)
6.2.af_n_at_m_o_abo	$56$	(not in LMFDB)
6.2.af_n_ar_ac_cc_aei	$56$	(not in LMFDB)
6.2.af_t_abx_ee_ahi_lk	$56$	(not in LMFDB)
6.2.af_v_acf_fe_aji_ou	$56$	(not in LMFDB)
6.2.ae_h_ah_ae_be_ace	$56$	(not in LMFDB)
6.2.ae_l_ax_bo_ack_dk	$56$	(not in LMFDB)
6.2.ae_p_abn_dg_afy_iy	$56$	(not in LMFDB)
6.2.ad_ab_p_as_as_cm	$56$	(not in LMFDB)
6.2.ad_f_af_e_c_ai	$56$	(not in LMFDB)
6.2.ad_f_ad_ag_s_abg	$56$	(not in LMFDB)
6.2.ad_h_aj_g_g_aq	$56$	(not in LMFDB)
6.2.ad_h_ah_ae_ba_ace	$56$	(not in LMFDB)
6.2.ad_l_ax_ca_ade_fg	$56$	(not in LMFDB)
6.2.ad_l_at_bo_aby_dk	$56$	(not in LMFDB)
6.2.ad_n_abb_co_ady_gu	$56$	(not in LMFDB)
6.2.ad_p_abf_dg_aew_iy	$56$	(not in LMFDB)
6.2.ac_ab_d_ac_c_a	$56$	(not in LMFDB)
6.2.ac_h_an_w_abm_bw	$56$	(not in LMFDB)
6.2.ab_af_f_k_ag_aq	$56$	(not in LMFDB)
6.2.ab_ad_f_ae_ag_y	$56$	(not in LMFDB)
6.2.ab_b_ab_ac_g_aq	$56$	(not in LMFDB)
6.2.ab_b_b_a_ac_i	$56$	(not in LMFDB)
6.2.ab_b_d_ag_ac_a	$56$	(not in LMFDB)
6.2.ab_d_ad_c_c_a	$56$	(not in LMFDB)
6.2.ab_d_ab_ae_g_ay	$56$	(not in LMFDB)
6.2.ab_f_ad_e_c_ai	$56$	(not in LMFDB)
6.2.ab_h_aj_bc_abe_cu	$56$	(not in LMFDB)
6.2.ab_h_af_y_ao_ce	$56$	(not in LMFDB)
6.2.ab_j_aj_bm_abi_ds	$56$	(not in LMFDB)
6.2.ab_j_af_bi_ak_dc	$56$	(not in LMFDB)
6.2.ab_l_aj_ca_abi_fg	$56$	(not in LMFDB)
6.2.a_d_ad_e_ao_i	$56$	(not in LMFDB)
6.2.a_d_d_e_o_i	$56$	(not in LMFDB)
6.2.b_af_af_k_g_aq	$56$	(not in LMFDB)
6.2.b_ad_af_ae_g_y	$56$	(not in LMFDB)
6.2.b_b_ad_ag_c_a	$56$	(not in LMFDB)
6.2.b_b_ab_a_c_i	$56$	(not in LMFDB)
6.2.b_b_b_ac_ag_aq	$56$	(not in LMFDB)
6.2.b_d_b_ae_ag_ay	$56$	(not in LMFDB)
6.2.b_d_d_c_ac_a	$56$	(not in LMFDB)
6.2.b_f_d_e_ac_ai	$56$	(not in LMFDB)
6.2.b_h_f_y_o_ce	$56$	(not in LMFDB)
6.2.b_h_j_bc_be_cu	$56$	(not in LMFDB)
6.2.b_j_f_bi_k_dc	$56$	(not in LMFDB)
6.2.b_j_j_bm_bi_ds	$56$	(not in LMFDB)
6.2.b_l_j_ca_bi_fg	$56$	(not in LMFDB)
6.2.c_ab_ad_ac_ac_a	$56$	(not in LMFDB)
6.2.c_h_n_w_bm_bw	$56$	(not in LMFDB)
6.2.d_ab_ap_as_s_cm	$56$	(not in LMFDB)
6.2.d_f_d_ag_as_abg	$56$	(not in LMFDB)
6.2.d_f_f_e_ac_ai	$56$	(not in LMFDB)
6.2.d_h_h_ae_aba_ace	$56$	(not in LMFDB)
6.2.d_h_j_g_ag_aq	$56$	(not in LMFDB)
6.2.d_l_t_bo_by_dk	$56$	(not in LMFDB)
6.2.d_l_x_ca_de_fg	$56$	(not in LMFDB)
6.2.d_n_bb_co_dy_gu	$56$	(not in LMFDB)
6.2.d_p_bf_dg_ew_iy	$56$	(not in LMFDB)
6.2.e_h_h_ae_abe_ace	$56$	(not in LMFDB)
6.2.e_l_x_bo_ck_dk	$56$	(not in LMFDB)
6.2.e_p_bn_dg_fy_iy	$56$	(not in LMFDB)
6.2.f_n_r_ac_acc_aei	$56$	(not in LMFDB)
6.2.f_n_t_m_ao_abo	$56$	(not in LMFDB)
6.2.f_t_bx_ee_hi_lk	$56$	(not in LMFDB)
6.2.f_v_cf_fe_ji_ou	$56$	(not in LMFDB)
6.2.g_p_r_ag_acg_aei	$56$	(not in LMFDB)
6.2.g_x_cn_fq_kk_qa	$56$	(not in LMFDB)
6.2.h_bf_dr_iu_qs_bae	$56$	(not in LMFDB)
6.2.i_bj_ed_js_sk_bcq	$56$	(not in LMFDB)
6.2.af_l_an_g_i_au	$84$	(not in LMFDB)
6.2.ad_d_ad_g_a_am	$84$	(not in LMFDB)
6.2.ab_ab_ab_c_a_e	$84$	(not in LMFDB)
6.2.ab_ab_h_ag_ai_bc	$84$	(not in LMFDB)
6.2.b_ab_ah_ag_i_bc	$84$	(not in LMFDB)
6.2.b_ab_b_c_a_e	$84$	(not in LMFDB)
6.2.d_d_d_g_a_am	$84$	(not in LMFDB)
6.2.f_l_n_g_ai_au	$84$	(not in LMFDB)
6.2.ag_r_abd_bg_ay_u	$168$	(not in LMFDB)
6.2.ag_u_abv_dk_afm_ia	$168$	(not in LMFDB)
6.2.ag_v_acf_eu_aiq_ng	$168$	(not in LMFDB)
6.2.ag_v_acb_ee_ahg_ky	$168$	(not in LMFDB)
6.2.af_p_abb_bg_au_m	$168$	(not in LMFDB)
6.2.af_t_abz_ei_ahw_ma	$168$	(not in LMFDB)
6.2.af_t_abv_dw_agm_ka	$168$	(not in LMFDB)
6.2.ae_e_f_ao_g_i	$168$	(not in LMFDB)
6.2.ae_g_ad_c_aq_bk	$168$	(not in LMFDB)
6.2.ae_j_ap_s_aq_q	$168$	(not in LMFDB)
6.2.ae_k_ax_bq_acq_ea	$168$	(not in LMFDB)
6.2.ae_k_av_bo_aco_ds	$168$	(not in LMFDB)
6.2.ae_k_at_bi_aci_do	$168$	(not in LMFDB)
6.2.ae_k_al_a_bi_acm	$168$	(not in LMFDB)
6.2.ae_m_abb_by_ade_eq	$168$	(not in LMFDB)
6.2.ae_n_abf_ck_aee_ge	$168$	(not in LMFDB)
6.2.ad_b_j_am_am_bs	$168$	(not in LMFDB)
6.2.ad_f_ah_e_e_ai	$168$	(not in LMFDB)
6.2.ad_f_ad_a_a_e	$168$	(not in LMFDB)
6.2.ad_h_aj_m_am_u	$168$	(not in LMFDB)
6.2.ad_j_an_s_am_q	$168$	(not in LMFDB)
6.2.ad_l_az_ca_ado_fg	$168$	(not in LMFDB)
6.2.ad_l_av_bw_acu_eu	$168$	(not in LMFDB)
6.2.ad_n_az_ck_adk_ge	$168$	(not in LMFDB)
6.2.ac_ac_d_g_c_ay	$168$	(not in LMFDB)
6.2.ac_ac_n_ao_as_ce	$168$	(not in LMFDB)
6.2.ac_a_ab_k_ai_ae	$168$	(not in LMFDB)
6.2.ac_a_b_ae_g_a	$168$	(not in LMFDB)
6.2.ac_a_j_ak_ai_bk	$168$	(not in LMFDB)
6.2.ac_b_ab_e_ai_m	$168$	(not in LMFDB)
6.2.ac_c_ad_e_ai_q	$168$	(not in LMFDB)
6.2.ac_e_an_s_abc_ce	$168$	(not in LMFDB)
6.2.ac_e_aj_s_abc_bk	$168$	(not in LMFDB)
6.2.ac_e_ah_m_aw_bg	$168$	(not in LMFDB)
6.2.ac_e_ad_ac_m_ay	$168$	(not in LMFDB)
6.2.ac_e_ab_a_o_aq	$168$	(not in LMFDB)
6.2.ac_e_b_ac_m_ae	$168$	(not in LMFDB)
6.2.ac_f_aj_q_abc_bk	$168$	(not in LMFDB)
6.2.ac_f_af_a_i_ay	$168$	(not in LMFDB)
6.2.ac_g_an_w_abm_ce	$168$	(not in LMFDB)
6.2.ac_g_al_u_abk_bw	$168$	(not in LMFDB)
6.2.ac_g_ad_c_w_ay	$168$	(not in LMFDB)
6.2.ac_i_ap_bc_aby_cm	$168$	(not in LMFDB)
6.2.ab_ad_d_i_ae_am	$168$	(not in LMFDB)
6.2.ab_ab_d_ac_ae_q	$168$	(not in LMFDB)
6.2.ab_b_af_a_e_i	$168$	(not in LMFDB)
6.2.ab_b_ab_e_a_ae	$168$	(not in LMFDB)
6.2.ab_d_ad_i_ae_m	$168$	(not in LMFDB)
6.2.ab_d_ab_c_a_a	$168$	(not in LMFDB)
6.2.ab_d_b_e_ae_u	$168$	(not in LMFDB)
6.2.ab_f_ad_k_ae_q	$168$	(not in LMFDB)
6.2.ab_h_al_y_abs_ce	$168$	(not in LMFDB)
6.2.ab_h_ah_bc_ay_cq	$168$	(not in LMFDB)
6.2.ab_h_ad_y_ai_ci	$168$	(not in LMFDB)
6.2.ab_h_b_m_bc_i	$168$	(not in LMFDB)
6.2.ab_j_ah_bm_ay_ds	$168$	(not in LMFDB)
6.2.a_ae_ad_g_g_ai	$168$	(not in LMFDB)
6.2.a_ae_d_g_ag_ai	$168$	(not in LMFDB)
6.2.a_ac_af_ae_k_q	$168$	(not in LMFDB)
6.2.a_ac_ad_g_a_ae	$168$	(not in LMFDB)
6.2.a_ac_d_g_a_ae	$168$	(not in LMFDB)
6.2.a_ac_f_ae_ak_q	$168$	(not in LMFDB)
6.2.a_a_af_a_a_q	$168$	(not in LMFDB)
6.2.a_a_f_a_a_q	$168$	(not in LMFDB)
6.2.a_c_af_e_ak_q	$168$	(not in LMFDB)
6.2.a_c_ad_g_am_e	$168$	(not in LMFDB)
6.2.a_c_ab_ac_e_ai	$168$	(not in LMFDB)
6.2.a_c_b_ac_ae_ai	$168$	(not in LMFDB)
6.2.a_c_d_g_m_e	$168$	(not in LMFDB)
6.2.a_c_f_e_k_q	$168$	(not in LMFDB)
6.2.a_e_af_i_au_q	$168$	(not in LMFDB)
6.2.a_e_ad_g_as_i	$168$	(not in LMFDB)
6.2.a_e_d_g_s_i	$168$	(not in LMFDB)
6.2.a_e_f_i_u_q	$168$	(not in LMFDB)
6.2.a_g_af_m_abe_q	$168$	(not in LMFDB)
6.2.a_g_f_m_be_q	$168$	(not in LMFDB)
6.2.b_ad_ad_i_e_am	$168$	(not in LMFDB)
6.2.b_ab_ad_ac_e_q	$168$	(not in LMFDB)
6.2.b_b_b_e_a_ae	$168$	(not in LMFDB)
6.2.b_b_f_a_ae_i	$168$	(not in LMFDB)
6.2.b_d_ab_e_e_u	$168$	(not in LMFDB)
6.2.b_d_b_c_a_a	$168$	(not in LMFDB)
6.2.b_d_d_i_e_m	$168$	(not in LMFDB)
6.2.b_f_d_k_e_q	$168$	(not in LMFDB)
6.2.b_h_ab_m_abc_i	$168$	(not in LMFDB)
6.2.b_h_d_y_i_ci	$168$	(not in LMFDB)
6.2.b_h_h_bc_y_cq	$168$	(not in LMFDB)
6.2.b_h_l_y_bs_ce	$168$	(not in LMFDB)
6.2.b_j_h_bm_y_ds	$168$	(not in LMFDB)
6.2.c_ac_an_ao_s_ce	$168$	(not in LMFDB)
6.2.c_ac_ad_g_ac_ay	$168$	(not in LMFDB)
6.2.c_a_aj_ak_i_bk	$168$	(not in LMFDB)
6.2.c_a_ab_ae_ag_a	$168$	(not in LMFDB)
6.2.c_a_b_k_i_ae	$168$	(not in LMFDB)
6.2.c_b_b_e_i_m	$168$	(not in LMFDB)
6.2.c_c_d_e_i_q	$168$	(not in LMFDB)
6.2.c_e_ab_ac_am_ae	$168$	(not in LMFDB)
6.2.c_e_b_a_ao_aq	$168$	(not in LMFDB)
6.2.c_e_d_ac_am_ay	$168$	(not in LMFDB)
6.2.c_e_h_m_w_bg	$168$	(not in LMFDB)
6.2.c_e_j_s_bc_bk	$168$	(not in LMFDB)
6.2.c_e_n_s_bc_ce	$168$	(not in LMFDB)
6.2.c_f_f_a_ai_ay	$168$	(not in LMFDB)
6.2.c_f_j_q_bc_bk	$168$	(not in LMFDB)
6.2.c_g_d_c_aw_ay	$168$	(not in LMFDB)
6.2.c_g_l_u_bk_bw	$168$	(not in LMFDB)
6.2.c_g_n_w_bm_ce	$168$	(not in LMFDB)
6.2.c_i_p_bc_by_cm	$168$	(not in LMFDB)
6.2.d_b_aj_am_m_bs	$168$	(not in LMFDB)
6.2.d_f_d_a_a_e	$168$	(not in LMFDB)
6.2.d_f_h_e_ae_ai	$168$	(not in LMFDB)
6.2.d_h_j_m_m_u	$168$	(not in LMFDB)
6.2.d_j_n_s_m_q	$168$	(not in LMFDB)
6.2.d_l_v_bw_cu_eu	$168$	(not in LMFDB)
6.2.d_l_z_ca_do_fg	$168$	(not in LMFDB)
6.2.d_n_z_ck_dk_ge	$168$	(not in LMFDB)
6.2.e_e_af_ao_ag_i	$168$	(not in LMFDB)
6.2.e_g_d_c_q_bk	$168$	(not in LMFDB)
6.2.e_j_p_s_q_q	$168$	(not in LMFDB)
6.2.e_k_l_a_abi_acm	$168$	(not in LMFDB)
6.2.e_k_t_bi_ci_do	$168$	(not in LMFDB)
6.2.e_k_v_bo_co_ds	$168$	(not in LMFDB)
6.2.e_k_x_bq_cq_ea	$168$	(not in LMFDB)
6.2.e_m_bb_by_de_eq	$168$	(not in LMFDB)
6.2.e_n_bf_ck_ee_ge	$168$	(not in LMFDB)
6.2.f_p_bb_bg_u_m	$168$	(not in LMFDB)
6.2.f_t_bv_dw_gm_ka	$168$	(not in LMFDB)
6.2.f_t_bz_ei_hw_ma	$168$	(not in LMFDB)
6.2.g_r_bd_bg_y_u	$168$	(not in LMFDB)
6.2.g_u_bv_dk_fm_ia	$168$	(not in LMFDB)
6.2.g_v_cb_ee_hg_ky	$168$	(not in LMFDB)
6.2.g_v_cf_eu_iq_ng	$168$	(not in LMFDB)

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Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Downloads

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