# Stored data for abelian variety isogeny class 6.2.ai_bg_adh_gq_ale_qq, downloaded from the LMFDB on 13 August 2026.
{"abvar_count": 2, "abvar_counts": [2, 7600, 333944, 44460000, 2264848282, 96443027200, 6291945767774, 262178930520000, 15623004528210248, 1325604375213190000], "abvar_counts_str": "2 7600 333944 44460000 2264848282 96443027200 6291945767774 262178930520000 15623004528210248 1325604375213190000 ", "angle_corank": 3, "angle_rank": 3, "angles": [0.123548644960916, 0.139386741866476, 0.25, 0.25, 0.45688197829425, 0.686170398078418], "center_dim": 10, "curve_count": -5, "curve_counts": [-5, 5, 10, 33, 55, 86, 177, 241, 442, 1165], "curve_counts_str": "-5 5 10 33 55 86 177 241 442 1165 ", "curves": [], "dim1_distinct": 1, "dim1_factors": 2, "dim2_distinct": 2, "dim2_factors": 2, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 6, "galois_groups": ["2T1", "4T2", "4T3"], "geom_dim1_distinct": 2, "geom_dim1_factors": 4, "geom_dim2_distinct": 1, "geom_dim2_factors": 1, "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": 7, "geometric_extension_degree": 12, "geometric_galois_groups": ["1T1", "2T1", "4T3"], "geometric_number_fields": ["1.1.1.1", "2.0.15.1", "4.0.2312.1"], "geometric_splitting_field": "32.0.845222867573683465013147373404160000000000000000.1", "geometric_splitting_polynomials": [[4, 0, 164, 0, 125, 0, 22, 0, 1]], "has_geom_ss_factor": true, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": true, "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.ai_bg_adh_gq_ale_qq", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 24, "newton_coelevation": 8, "newton_elevation": 4, "noncyclic_primes": [], "number_fields": ["2.0.4.1", "4.0.225.1", "4.0.2312.1"], "p": 2, "p_rank": 3, "p_rank_deficit": 3, "poly": [1, -8, 32, -85, 172, -290, 432, -580, 688, -680, 512, -256, 64], "poly_str": "1 -8 32 -85 172 -290 432 -580 688 -680 512 -256 64 ", "primitive_models": [], "q": 2, "real_poly": [1, -8, 20, -5, -48, 60, -16], "simple_distinct": ["1.2.ac", "2.2.ad_f", "2.2.ab_a"], "simple_factors": ["1.2.acA", "1.2.acB", "2.2.ad_fA", "2.2.ab_aA"], "simple_multiplicities": [2, 1, 1], "slopes": ["0A", "0B", "0C", "1/2A", "1/2B", "1/2C", "1/2D", "1/2E", "1/2F", "1A", "1B", "1C"], "splitting_field": "32.0.845222867573683465013147373404160000000000000000.1", "splitting_polynomials": [[1, 0, -6, -64, 18, 120, 884, 1360, 2453, -592, 11300, 12152, -15370, 39248, 6590, -25344, 75876, -25344, 6590, 39248, -15370, 12152, 11300, -592, 2453, 1360, 884, 120, 18, -64, -6, 0, 1]], "twist_count": 88, "twists": [["6.2.ag_s_abf_bc_c_abg", "6.4.a_i_h_bc_dg_ds", 2], ["6.2.ae_i_an_y_abq_cm", "6.4.a_i_h_bc_dg_ds", 2], ["6.2.ac_c_ab_e_ac_a", "6.4.a_i_h_bc_dg_ds", 2], ["6.2.ac_c_b_a_ag_q", "6.4.a_i_h_bc_dg_ds", 2], ["6.2.a_a_af_e_ac_q", "6.4.a_i_h_bc_dg_ds", 2], ["6.2.a_a_f_e_c_q", "6.4.a_i_h_bc_dg_ds", 2], ["6.2.c_c_ab_a_g_q", "6.4.a_i_h_bc_dg_ds", 2], ["6.2.c_c_b_e_c_a", "6.4.a_i_h_bc_dg_ds", 2], ["6.2.e_i_n_y_bq_cm", "6.4.a_i_h_bc_dg_ds", 2], ["6.2.g_s_bf_bc_ac_abg", "6.4.a_i_h_bc_dg_ds", 2], ["6.2.i_bg_dh_gq_le_qq", "6.4.a_i_h_bc_dg_ds", 2], ["6.2.af_l_an_q_abm_cu", "6.8.b_l_an_cm_apc_a", 3], ["6.2.ac_c_ab_ac_e_a", "6.8.b_l_an_cm_apc_a", 3], ["6.2.ac_c_ab_e_ac_a", "6.8.b_l_an_cm_apc_a", 3], ["6.2.b_ab_ab_e_e_a", "6.8.b_l_an_cm_apc_a", 3], ["6.2.e_i_l_k_e_a", "6.8.b_l_an_cm_apc_a", 3], ["6.2.ag_s_abp_de_afk_ia", "6.64.v_kp_czv_mjw_acjqm_ablkmy", 6], ["6.2.ae_i_al_k_ae_a", "6.64.v_kp_czv_mjw_acjqm_ablkmy", 6], ["6.2.ad_d_af_q_au_q", "6.64.v_kp_czv_mjw_acjqm_ablkmy", 6], ["6.2.ad_d_f_ai_ak_bo", "6.64.v_kp_czv_mjw_acjqm_ablkmy", 6], ["6.2.ab_ab_ab_m_ag_ai", "6.64.v_kp_czv_mjw_acjqm_ablkmy", 6], ["6.2.ab_ab_b_e_ae_a", "6.64.v_kp_czv_mjw_acjqm_ablkmy", 6], ["6.2.a_a_af_ac_e_q", "6.64.v_kp_czv_mjw_acjqm_ablkmy", 6], ["6.2.a_a_f_ac_ae_q", "6.64.v_kp_czv_mjw_acjqm_ablkmy", 6], ["6.2.b_ab_b_m_g_ai", "6.64.v_kp_czv_mjw_acjqm_ablkmy", 6], ["6.2.c_c_b_ac_ae_a", "6.64.v_kp_czv_mjw_acjqm_ablkmy", 6], ["6.2.d_d_af_ai_k_bo", "6.64.v_kp_czv_mjw_acjqm_ablkmy", 6], ["6.2.d_d_f_q_u_q", "6.64.v_kp_czv_mjw_acjqm_ablkmy", 6], ["6.2.f_l_n_q_bm_cu", "6.64.v_kp_czv_mjw_acjqm_ablkmy", 6], ["6.2.g_s_bp_de_fk_ia", "6.64.v_kp_czv_mjw_acjqm_ablkmy", 6], ["6.2.ag_u_abx_du_agk_jo", "6.256.aq_aqq_nrr_acwce_acxgtc_ecwvoq", 8], ["6.2.ae_e_d_ai_k_aq", "6.256.aq_aqq_nrr_acwce_acxgtc_ecwvoq", 8], ["6.2.ae_k_ap_o_ac_ai", "6.256.aq_aqq_nrr_acwce_acxgtc_ecwvoq", 8], ["6.2.ae_m_abd_ce_adq_fo", "6.256.aq_aqq_nrr_acwce_acxgtc_ecwvoq", 8], ["6.2.ac_ac_j_ai_ak_bg", "6.256.aq_aqq_nrr_acwce_acxgtc_ecwvoq", 8], ["6.2.ac_e_aj_o_aw_bo", "6.256.aq_aqq_nrr_acwce_acxgtc_ecwvoq", 8], ["6.2.ac_g_ah_i_ac_a", "6.256.aq_aqq_nrr_acwce_acxgtc_ecwvoq", 8], ["6.2.a_c_ab_c_c_i", "6.256.aq_aqq_nrr_acwce_acxgtc_ecwvoq", 8], ["6.2.a_c_b_c_ac_i", "6.256.aq_aqq_nrr_acwce_acxgtc_ecwvoq", 8], ["6.2.c_ac_aj_ai_k_bg", "6.256.aq_aqq_nrr_acwce_acxgtc_ecwvoq", 8], ["6.2.c_e_j_o_w_bo", "6.256.aq_aqq_nrr_acwce_acxgtc_ecwvoq", 8], ["6.2.c_g_h_i_c_a", "6.256.aq_aqq_nrr_acwce_acxgtc_ecwvoq", 8], ["6.2.e_e_ad_ai_ak_aq", "6.256.aq_aqq_nrr_acwce_acxgtc_ecwvoq", 8], ["6.2.e_k_p_o_c_ai", "6.256.aq_aqq_nrr_acwce_acxgtc_ecwvoq", 8], ["6.2.e_m_bd_ce_dq_fo", "6.256.aq_aqq_nrr_acwce_acxgtc_ecwvoq", 8], ["6.2.g_u_bx_du_gk_jo", "6.256.aq_aqq_nrr_acwce_acxgtc_ecwvoq", 8], ["6.2.af_n_ax_bo_acw_eq", "6.4096.ef_kyl_cbtvz_evzfkq_mmnyzsy_btondbgls", 12], ["6.2.ad_f_al_y_abk_bw", "6.4096.ef_kyl_cbtvz_evzfkq_mmnyzsy_btondbgls", 12], ["6.2.ad_f_ab_a_ag_y", "6.4096.ef_kyl_cbtvz_evzfkq_mmnyzsy_btondbgls", 12], ["6.2.ab_b_ad_m_ak_i", "6.4096.ef_kyl_cbtvz_evzfkq_mmnyzsy_btondbgls", 12], ["6.2.ab_b_ab_e_ae_a", "6.4096.ef_kyl_cbtvz_evzfkq_mmnyzsy_btondbgls", 12], ["6.2.b_b_b_e_e_a", 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["6.2.ab_af_d_q_ac_abo", "6.16777216.ehx_adbeovt_assofrvoj_anmswhltljc_rvnpxmdviyyyq_hzqgbeeckcddscng", 24], ["6.2.ab_ad_b_i_c_ay", "6.16777216.ehx_adbeovt_assofrvoj_anmswhltljc_rvnpxmdviyyyq_hzqgbeeckcddscng", 24], ["6.2.ab_ad_b_o_ae_ay", "6.16777216.ehx_adbeovt_assofrvoj_anmswhltljc_rvnpxmdviyyyq_hzqgbeeckcddscng", 24], ["6.2.ab_ab_ab_k_ae_ai", "6.16777216.ehx_adbeovt_assofrvoj_anmswhltljc_rvnpxmdviyyyq_hzqgbeeckcddscng", 24], ["6.2.ab_b_ad_k_ai_i", "6.16777216.ehx_adbeovt_assofrvoj_anmswhltljc_rvnpxmdviyyyq_hzqgbeeckcddscng", 24], ["6.2.ab_b_d_c_ac_q", "6.16777216.ehx_adbeovt_assofrvoj_anmswhltljc_rvnpxmdviyyyq_hzqgbeeckcddscng", 24], ["6.2.ab_d_af_i_ak_y", "6.16777216.ehx_adbeovt_assofrvoj_anmswhltljc_rvnpxmdviyyyq_hzqgbeeckcddscng", 24], ["6.2.ab_d_af_o_aq_y", "6.16777216.ehx_adbeovt_assofrvoj_anmswhltljc_rvnpxmdviyyyq_hzqgbeeckcddscng", 24], ["6.2.ab_d_b_g_c_q", "6.16777216.ehx_adbeovt_assofrvoj_anmswhltljc_rvnpxmdviyyyq_hzqgbeeckcddscng", 24], ["6.2.ab_f_ah_q_aw_bo", 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