# Stored data for abelian variety isogeny class 4.5.ao_dn_any_blk, downloaded from the LMFDB on 30 April 2024.
{"label": "4.5.ao_dn_any_blk", "g": 4, "p": 5, "q": 5, "poly": [1, -14, 91, -362, 972, -1810, 2275, -1750, 625], "poly_str": "1 -14 91 -362 972 -1810 2275 -1750 625 ", "slopes": ["0A", "0B", "0C", "0D", "1A", "1B", "1C", "1D"], "p_rank": 4, "p_rank_deficit": 0, "angles": [0.0512862249088459, 0.147583617650433, 0.147583617650433, 0.384619558242179], "angle_rank": 2, "number_fields": ["2.0.4.1", "4.0.576.2"], "galois_groups": ["2T1", "4T2"], "center_dim": 6, "abvar_counts": [28, 221200, 230463856, 148816281600, 94313975316988, 60307689652537600, 37824215428924710268, 23460952075775882035200, 14573350564538393946716272, 9090913800345378830015530000], "abvar_counts_str": "28 221200 230463856 148816281600 94313975316988 60307689652537600 37824215428924710268 23460952075775882035200 14573350564538393946716272 9090913800345378830015530000 ", "abvar_count": 28, "curve_counts": [-8, 12, 118, 608, 3092, 15810, 79316, 393600, 1955998, 9761292], "curve_counts_str": "-8 12 118 608 3092 15810 79316 393600 1955998 9761292 ", "curve_count": -8, "has_jacobian": -1, "has_principal_polarization": 1, "geometric_extension_degree": 6, "geometric_center_dim": 4, "geometric_number_fields": ["2.0.24.1", "2.0.4.1"], "geometric_galois_groups": ["2T1", "2T1"], "primitive_models": [], "is_primitive": true, "twists": [["4.5.ag_l_g_aca", "4.25.ao_dl_akk_yu", 2], ["4.5.ac_af_k_m", "4.25.ao_dl_akk_yu", 2], ["4.5.c_af_ak_m", "4.25.ao_dl_akk_yu", 2], ["4.5.g_l_ag_aca", "4.25.ao_dl_akk_yu", 2], ["4.5.o_dn_ny_blk", "4.25.ao_dl_akk_yu", 2], ["4.5.ai_bc_ace_dy", "4.125.ai_eu_fg_ajqw", 3], ["4.5.ac_af_k_m", "4.125.ai_eu_fg_ajqw", 3], ["4.5.ac_e_ai_ad", "4.125.ai_eu_fg_ajqw", 3], ["4.5.e_n_bc_cu", "4.125.ai_eu_fg_ajqw", 3], ["4.5.k_ca_hc_sj", "4.125.ai_eu_fg_ajqw", 3], ["4.5.am_ct_akk_bbo", "4.625.as_cll_acbhi_cxnjo", 4], ["4.5.ak_cd_ahu_ui", "4.625.as_cll_acbhi_cxnjo", 4], ["4.5.ai_bf_adi_hw", "4.625.as_cll_acbhi_cxnjo", 4], ["4.5.ag_x_aco_fw", "4.625.as_cll_acbhi_cxnjo", 4], ["4.5.ae_h_c_abk", "4.625.as_cll_acbhi_cxnjo", 4], ["4.5.ac_h_aba_bw", "4.625.as_cll_acbhi_cxnjo", 4], ["4.5.a_ab_ag_ae", "4.625.as_cll_acbhi_cxnjo", 4], ["4.5.a_ab_g_ae", "4.625.as_cll_acbhi_cxnjo", 4], ["4.5.c_h_ba_bw", "4.625.as_cll_acbhi_cxnjo", 4], ["4.5.e_h_ac_abk", "4.625.as_cll_acbhi_cxnjo", 4], ["4.5.g_x_co_fw", "4.625.as_cll_acbhi_cxnjo", 4], ["4.5.i_bf_di_hw", "4.625.as_cll_acbhi_cxnjo", 4], ["4.5.k_cd_hu_ui", "4.625.as_cll_acbhi_cxnjo", 4], ["4.5.m_ct_kk_bbo", "4.625.as_cll_acbhi_cxnjo", 4], ["4.5.ak_ca_ahc_sj", "4.15625.hc_grk_fmwou_clrwrle", 6], ["4.5.ae_n_abc_cu", "4.15625.hc_grk_fmwou_clrwrle", 6], ["4.5.a_ae_a_bm", "4.15625.hc_grk_fmwou_clrwrle", 6], ["4.5.c_e_i_ad", "4.15625.hc_grk_fmwou_clrwrle", 6], ["4.5.i_bc_ce_dy", "4.15625.hc_grk_fmwou_clrwrle", 6], ["4.5.ag_j_s_adi", "4.390625.ekk_ixzcr_lnloabe_lofqmmftc", 8], ["4.5.ag_z_ada_he", "4.390625.ekk_ixzcr_lnloabe_lofqmmftc", 8], ["4.5.g_j_as_adi", "4.390625.ekk_ixzcr_lnloabe_lofqmmftc", 8], ["4.5.g_z_da_he", "4.390625.ekk_ixzcr_lnloabe_lofqmmftc", 8], ["4.5.ai_y_ay_ac", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.ai_bc_acq_fx", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.ag_q_as_o", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.ag_u_abq_di", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.ae_e_u_adj", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.ae_j_am_bc", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.ae_m_am_w", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.ae_q_abc_da", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.ac_ad_ag_ca", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.ac_a_ag_bu", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.ac_b_ao_bw", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.ac_e_ao_cc", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.a_ai_a_ck", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.a_e_a_bm", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.a_i_a_ck", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.c_ad_g_ca", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.c_a_g_bu", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.c_b_o_bw", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.c_e_o_cc", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.e_e_au_adj", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.e_j_m_bc", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.e_m_m_w", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.e_q_bc_da", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.g_q_s_o", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.g_u_bq_di", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.i_y_y_ac", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.i_bc_cq_fx", "4.244140625.abktk_bzicebc_acedgimwvum_cpdgyhwfcnrdm", 12], ["4.5.am_co_aiu_wg", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.ak_by_ago_qs", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.ai_bj_aem_lm", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.ai_bm_aey_mk", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.ag_p_abq_es", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.ag_s_acc_fq", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.ae_a_m_ao", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.ae_c_e_c", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.ae_c_u_ack", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.ae_o_abs_du", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.ae_q_aca_ek", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.ac_ab_k_abm", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.ac_c_ac_ao", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.ac_c_o_abu", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.a_ak_a_co", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.a_ag_a_bi", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.a_d_am_aw", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.a_d_m_aw", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.a_g_ay_c", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.a_g_a_bi", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.a_g_y_c", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.a_k_a_co", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.c_ab_ak_abm", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.c_c_ao_abu", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.c_c_c_ao", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.e_a_am_ao", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.e_c_au_ack", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.e_c_ae_c", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.e_o_bs_du", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.e_q_ca_ek", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.g_p_bq_es", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.g_s_cc_fq", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.i_bj_em_lm", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.i_bm_ey_mk", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.k_by_go_qs", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24], ["4.5.m_co_iu_wg", "4.59604644775390625.byryeii_cywrknqypqcdw_denhzclxkwigdngdxdg_czifadyxoehdjkzwvthpmuive", 24]], "twist_count": 96, "max_twist_degree": 24, "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "is_simple": false, "is_geometrically_simple": false, "simple_distinct": ["1.5.ae", "2.5.ag_r"], "simple_multiplicities": [2, 1], "simple_factors": ["1.5.aeA", "1.5.aeB", "2.5.ag_rA"], "dim1_factors": 2, "dim2_factors": 1, "dim3_factors": 0, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 1, "dim2_distinct": 1, "dim3_distinct": 0, "dim4_distinct": 0, "dim5_distinct": 0, "geom_dim1_factors": 4, "geom_dim2_factors": 0, "geom_dim3_factors": 0, "geom_dim4_factors": 0, "geom_dim5_factors": 0, "geom_dim1_distinct": 2, "geom_dim2_distinct": 0, "geom_dim3_distinct": 0, "geom_dim4_distinct": 0, "geom_dim5_distinct": 0, "has_geom_ss_factor": false, "real_poly": [1, -14, 71, -152, 112], "geometric_splitting_field": "4.0.2304.2", "splitting_field": "8.0.5308416.1", "geometric_splitting_polynomials": [[9, 0, 0, 0, 1]], "splitting_polynomials": [[1, 0, 0, 0, -1, 0, 0, 0, 1]], "is_squarefree": false, "is_geometrically_squarefree": false}