# Stored data for abelian variety isogeny class 6.2.aj_bs_afr_of_abby_bsa, downloaded from the LMFDB on 02 October 2025.
{"abvar_count": 4, "abvar_counts": [4, 30400, 2517424, 27360000, 781873444, 76529689600, 5677561731916, 293676658560000, 16225401053666896, 1096491499131160000], "abvar_counts_str": "4 30400 2517424 27360000 781873444 76529689600 5677561731916 293676658560000 16225401053666896 1096491499131160000 ", "angle_corank": 4, "angle_rank": 2, "angles": [0.123548644960916, 0.25, 0.25, 0.384973271918692, 0.384973271918692, 0.45688197829425], "center_dim": 8, "curve_count": -6, "curve_counts": [-6, 12, 27, 24, 24, 69, 162, 272, 459, 972], "curve_counts_str": "-6 12 27 24 24 69 162 272 459 972 ", "curves": [], "dim1_distinct": 2, "dim1_factors": 4, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 6, "galois_groups": ["2T1", "2T1", "4T2"], "geom_dim1_distinct": 3, "geom_dim1_factors": 6, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 0, "geom_dim3_factors": 0, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 5, "geometric_extension_degree": 12, "geometric_galois_groups": ["1T1", "2T1", "2T1"], "geometric_number_fields": ["1.1.1.1", "2.0.15.1", "2.0.7.1"], "geometric_splitting_field": "16.0.968265199641600000000.1", "geometric_splitting_polynomials": [[4, 0, 11, 0, 1]], "has_geom_ss_factor": true, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 0, "label": "6.2.aj_bs_afr_of_abby_bsa", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 24, "newton_coelevation": 10, "newton_elevation": 2, "number_fields": ["2.0.4.1", "2.0.7.1", "4.0.225.1"], "p": 2, "p_rank": 4, "p_rank_deficit": 2, "poly": [1, -9, 44, -147, 369, -726, 1144, -1452, 1476, -1176, 704, -288, 64], "poly_str": "1 -9 44 -147 369 -726 1144 -1452 1476 -1176 704 -288 64 ", "primitive_models": [], "q": 2, "real_poly": [1, -9, 32, -57, 53, -24, 4], "simple_distinct": ["1.2.ac", "1.2.ab", "2.2.ad_f"], "simple_factors": ["1.2.acA", "1.2.acB", "1.2.abA", "1.2.abB", "2.2.ad_fA"], "simple_multiplicities": [2, 2, 1], "slopes": ["0A", "0B", "0C", "0D", "1/2A", "1/2B", "1/2C", "1/2D", "1A", "1B", "1C", "1D"], "splitting_field": "16.0.968265199641600000000.1", "splitting_polynomials": [[256, 0, 576, 0, 704, 0, 1044, 0, 1029, 0, 261, 0, 44, 0, 9, 0, 1]], "twist_count": 264, "twists": [["6.2.ah_bc_adb_gt_amg_su", "6.4.h_bc_df_hx_qu_bho", 2], ["6.2.af_q_abn_dd_afm_ii", "6.4.h_bc_df_hx_qu_bho", 2], ["6.2.af_q_abj_cj_adm_ey", "6.4.h_bc_df_hx_qu_bho", 2], ["6.2.ad_i_ap_bb_abq_cm", "6.4.h_bc_df_hx_qu_bho", 2], ["6.2.ab_e_ah_n_as_bg", "6.4.h_bc_df_hx_qu_bho", 2], ["6.2.ab_e_ad_j_ao_y", "6.4.h_bc_df_hx_qu_bho", 2], ["6.2.ab_e_ab_h_g_i", "6.4.h_bc_df_hx_qu_bho", 2], ["6.2.b_e_b_h_ag_i", "6.4.h_bc_df_hx_qu_bho", 2], ["6.2.b_e_d_j_o_y", "6.4.h_bc_df_hx_qu_bho", 2], ["6.2.b_e_h_n_s_bg", "6.4.h_bc_df_hx_qu_bho", 2], ["6.2.d_i_j_j_ag_ai", "6.4.h_bc_df_hx_qu_bho", 2], ["6.2.d_i_p_bb_bq_cm", "6.4.h_bc_df_hx_qu_bho", 2], ["6.2.f_q_bj_cj_dm_ey", "6.4.h_bc_df_hx_qu_bho", 2], ["6.2.f_q_bn_dd_fm_ii", "6.4.h_bc_df_hx_qu_bho", 2], ["6.2.h_bc_db_gt_mg_su", "6.4.h_bc_df_hx_qu_bho", 2], ["6.2.j_bs_fr_of_bby_bsa", "6.4.h_bc_df_hx_qu_bho", 2], ["6.2.ag_r_ay_d_ci_aey", "6.8.s_gi_bmc_gpv_xzc_cvga", 3], ["6.2.ag_u_abq_cl_acu_dk", "6.8.s_gi_bmc_gpv_xzc_cvga", 3], ["6.2.ad_c_j_ap_ag_bo", "6.8.s_gi_bmc_gpv_xzc_cvga", 3], ["6.2.ad_i_aj_d_s_abm", "6.8.s_gi_bmc_gpv_xzc_cvga", 3], ["6.2.ad_i_aj_j_g_ai", "6.8.s_gi_bmc_gpv_xzc_cvga", 3], ["6.2.a_ab_g_ad_ag_w", "6.8.s_gi_bmc_gpv_xzc_cvga", 3], ["6.2.a_ab_g_d_a_q", "6.8.s_gi_bmc_gpv_xzc_cvga", 3], ["6.2.a_c_g_d_g_w", "6.8.s_gi_bmc_gpv_xzc_cvga", 3], ["6.2.d_c_d_p_s_k", "6.8.s_gi_bmc_gpv_xzc_cvga", 3], ["6.2.d_i_v_bn_co_ec", "6.8.s_gi_bmc_gpv_xzc_cvga", 3], ["6.2.g_r_bk_cr_ek_gk", "6.8.s_gi_bmc_gpv_xzc_cvga", 3], ["6.2.ah_w_abl_z_be_adk", "6.16.h_bg_ix_yb_cii_roq", 4], ["6.2.ad_c_d_ad_ag_q", "6.16.h_bg_ix_yb_cii_roq", 4], ["6.2.ab_ac_f_b_ag_i", "6.16.h_bg_ix_yb_cii_roq", 4], ["6.2.b_ac_af_b_g_i", "6.16.h_bg_ix_yb_cii_roq", 4], ["6.2.d_c_ad_ad_g_q", "6.16.h_bg_ix_yb_cii_roq", 4], ["6.2.h_w_bl_z_abe_adk", "6.16.h_bg_ix_yb_cii_roq", 4], ["6.2.ai_bf_ada_fr_aiy_my", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.ah_bc_add_hb_ana_uc", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.ag_r_abk_cr_aek_gk", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.af_k_aj_j_abi_cu", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.af_q_abp_dh_afu_iw", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.ae_h_ak_t_abk_ce", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.ae_h_ag_ad_w_abq", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.ae_k_as_bb_abm_cc", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.ae_k_aq_z_abk_ce", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.ad_c_ad_p_as_k", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.ad_i_av_bn_aco_ec", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.ac_b_a_ad_c_g", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.ac_b_a_d_ae_a", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.ac_b_e_af_a_i", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.ac_e_ai_n_as_ba", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.ac_e_ag_p_aq_y", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.ac_e_ac_h_am_bg", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.ab_ac_ab_n_ag_aq", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.ab_ac_d_d_ac_ag", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.ab_e_ad_d_ac_ag", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.ab_e_ab_b_g_ak", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.a_ab_ag_ad_g_w", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.a_ab_ag_d_a_q", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.a_ab_g_ad_ag_w", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.a_c_ag_d_ag_w", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.a_c_a_j_a_q", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.b_ac_ad_d_c_ag", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.b_ac_b_n_g_aq", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.b_e_b_b_ag_ak", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.b_e_d_d_c_ag", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.c_b_ae_af_a_i", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.c_b_a_ad_ac_g", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.c_b_a_d_e_a", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.c_e_c_h_m_bg", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.c_e_g_p_q_y", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.c_e_i_n_s_ba", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.d_c_aj_ap_g_bo", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.d_i_j_d_as_abm", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.e_h_g_ad_aw_abq", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.e_h_k_t_bk_ce", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.e_k_q_z_bk_ce", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.e_k_s_bb_bm_cc", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.f_k_j_j_bi_cu", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.f_q_bp_dh_fu_iw", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.g_r_y_d_aci_aey", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.g_u_bq_cl_cu_dk", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.h_bc_dd_hb_na_uc", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.i_bf_da_fr_iy_my", "6.64.e_hi_bia_bfxx_ezxg_dukro", 6], ["6.2.ah_be_adn_ih_aps_ym", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.af_m_ar_l_m_abk", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.af_m_ap_ad_by_adw", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.af_s_abv_dx_agy_kq", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.af_u_acd_ev_aiw_ns", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.ad_ac_p_al_as_bs", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.ad_e_ad_af_s_abc", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.ad_g_aj_f_g_am", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.ad_k_ax_bv_adc_eu", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.ad_k_at_bj_aca_cy", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.ad_m_abb_ch_ady_ga", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.ab_a_ad_ad_k_ae", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.ab_a_ab_ab_a_m", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.ab_g_ah_r_ay_bk", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.ab_g_ab_l_m_m", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.ab_i_al_bd_abu_cq", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.b_a_b_ab_a_m", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.b_a_d_ad_ak_ae", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.b_g_b_l_am_m", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.b_g_h_r_y_bk", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.b_i_l_bd_bu_cq", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.d_ac_ap_al_s_bs", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.d_e_d_af_as_abc", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.d_g_j_f_ag_am", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.d_k_t_bj_ca_cy", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.d_k_x_bv_dc_eu", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.d_m_bb_ch_dy_ga", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.f_m_p_ad_aby_adw", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.f_m_r_l_am_abk", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.f_s_bv_dx_gy_kq", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.f_u_cd_ev_iw_ns", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.h_be_dn_ih_ps_ym", "6.256.p_abky_arcz_wmab_eiowm_ajgkesm", 8], ["6.2.ag_w_acc_eb_agm_jo", "6.4096.oa_ecug_wgxhk_donuzdp_lvwgvnae_bgfcqhzppg", 12], ["6.2.af_k_al_h_g_aw", "6.4096.oa_ecug_wgxhk_donuzdp_lvwgvnae_bgfcqhzppg", 12], ["6.2.af_m_at_bf_ack_ea", "6.4096.oa_ecug_wgxhk_donuzdp_lvwgvnae_bgfcqhzppg", 12], ["6.2.ae_e_i_ar_am_ce", "6.4096.oa_ecug_wgxhk_donuzdp_lvwgvnae_bgfcqhzppg", 12], ["6.2.ae_g_a_ah_ae_y", "6.4096.oa_ecug_wgxhk_donuzdp_lvwgvnae_bgfcqhzppg", 12], ["6.2.ae_m_aba_bx_ade_es", "6.4096.oa_ecug_wgxhk_donuzdp_lvwgvnae_bgfcqhzppg", 12], ["6.2.ae_m_ay_bv_acy_eq", "6.4096.oa_ecug_wgxhk_donuzdp_lvwgvnae_bgfcqhzppg", 12], ["6.2.ad_e_aj_v_abe_bm", "6.4096.oa_ecug_wgxhk_donuzdp_lvwgvnae_bgfcqhzppg", 12], ["6.2.ad_e_d_aj_g_i", "6.4096.oa_ecug_wgxhk_donuzdp_lvwgvnae_bgfcqhzppg", 12], ["6.2.ac_ac_e_h_ag_ak", "6.4096.oa_ecug_wgxhk_donuzdp_lvwgvnae_bgfcqhzppg", 12], ["6.2.ac_a_a_f_ac_ag", "6.4096.oa_ecug_wgxhk_donuzdp_lvwgvnae_bgfcqhzppg", 12], ["6.2.ac_g_am_x_abm_cc", "6.4096.oa_ecug_wgxhk_donuzdp_lvwgvnae_bgfcqhzppg", 12], ["6.2.ac_g_ak_z_abg_ce", "6.4096.oa_ecug_wgxhk_donuzdp_lvwgvnae_bgfcqhzppg", 12], ["6.2.ac_g_ag_r_au_bw", "6.4096.oa_ecug_wgxhk_donuzdp_lvwgvnae_bgfcqhzppg", 12], ["6.2.ab_ac_f_af_ag_ba", "6.4096.oa_ecug_wgxhk_donuzdp_lvwgvnae_bgfcqhzppg", 12], ["6.2.ab_a_ad_l_ak_a", "6.4096.oa_ecug_wgxhk_donuzdp_lvwgvnae_bgfcqhzppg", 12], ["6.2.ab_a_b_b_c_ak", "6.4096.oa_ecug_wgxhk_donuzdp_lvwgvnae_bgfcqhzppg", 12], ["6.2.a_ae_a_p_a_abg", 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