# Stored data for abelian variety isogeny class 6.2.aj_bq_afd_mh_axm_bkq, downloaded from the LMFDB on 13 August 2026.
{"abvar_count": 2, "abvar_counts": [2, 13300, 796328, 23940000, 2846407042, 148276273600, 4518059688074, 231587611920000, 16942205752799912, 1183511142001982500], "abvar_counts_str": "2 13300 796328 23940000 2846407042 148276273600 4518059688074 231587611920000 16942205752799912 1183511142001982500 ", "angle_corank": 3, "angle_rank": 3, "angles": [0.123548644960916, 0.174442860055106, 0.25, 0.25, 0.45688197829425, 0.546783656211941], "center_dim": 10, "curve_count": -6, "curve_counts": [-6, 8, 15, 24, 64, 113, 134, 208, 483, 1048], "curve_counts_str": "-6 8 15 24 64 113 134 208 483 1048 ", "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", "4.0.1088.2"], "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.aj_bq_afd_mh_axm_bkq", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 24, "newton_coelevation": 10, "newton_elevation": 2, "noncyclic_primes": [], "number_fields": ["2.0.4.1", "4.0.225.1", "4.0.1088.2"], "p": 2, "p_rank": 4, "p_rank_deficit": 2, "poly": [1, -9, 42, -133, 319, -610, 952, -1220, 1276, -1064, 672, -288, 64], "poly_str": "1 -9 42 -133 319 -610 952 -1220 1276 -1064 672 -288 64 ", "primitive_models": [], "q": 2, "real_poly": [1, -9, 30, -43, 19, 8, -4], "simple_distinct": ["1.2.ac", "2.2.ad_f", "2.2.ac_d"], "simple_factors": ["1.2.acA", "1.2.acB", "2.2.ad_fA", "2.2.ac_dA"], "simple_multiplicities": [2, 1, 1], "slopes": ["0A", "0B", "0C", "0D", "1/2A", "1/2B", "1/2C", "1/2D", "1A", "1B", "1C", "1D"], "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.af_o_abd_bz_ada_ei", "6.4.d_i_bf_cj_fc_nw", 2], ["6.2.af_o_az_bf_aba_y", "6.4.d_i_bf_cj_fc_nw", 2], ["6.2.ad_g_ah_h_c_ai", "6.4.d_i_bf_cj_fc_nw", 2], ["6.2.ab_c_af_h_ak_y", "6.4.d_i_bf_cj_fc_nw", 2], ["6.2.ab_c_ab_d_ag_q", "6.4.d_i_bf_cj_fc_nw", 2], ["6.2.b_c_b_d_g_q", "6.4.d_i_bf_cj_fc_nw", 2], ["6.2.b_c_f_h_k_y", "6.4.d_i_bf_cj_fc_nw", 2], ["6.2.d_g_h_h_ac_ai", "6.4.d_i_bf_cj_fc_nw", 2], ["6.2.f_o_z_bf_ba_y", "6.4.d_i_bf_cj_fc_nw", 2], ["6.2.f_o_bd_bz_da_ei", "6.4.d_i_bf_cj_fc_nw", 2], ["6.2.j_bq_fd_mh_xm_bkq", "6.4.d_i_bf_cj_fc_nw", 2], ["6.2.ag_s_abi_bx_acm_dk", "6.8.g_bq_go_bdd_dmu_lpo", 3], ["6.2.ad_g_ah_b_o_aba", "6.8.g_bq_go_bdd_dmu_lpo", 3], ["6.2.ad_g_ah_h_c_ai", "6.8.g_bq_go_bdd_dmu_lpo", 3], ["6.2.a_a_c_b_c_k", "6.8.g_bq_go_bdd_dmu_lpo", 3], ["6.2.d_g_l_n_o_w", "6.8.g_bq_go_bdd_dmu_lpo", 3], ["6.2.ah_ba_act_gb_ala_qw", "6.64.bw_bvq_bgqa_rbcz_hcxyu_ckwhqu", 6], ["6.2.ae_i_ao_z_abi_bq", "6.64.bw_bvq_bgqa_rbcz_hcxyu_ckwhqu", 6], ["6.2.ad_g_al_n_ao_w", "6.64.bw_bvq_bgqa_rbcz_hcxyu_ckwhqu", 6], ["6.2.ac_c_ac_j_am_q", "6.64.bw_bvq_bgqa_rbcz_hcxyu_ckwhqu", 6], ["6.2.ac_c_c_b_ai_y", "6.64.bw_bvq_bgqa_rbcz_hcxyu_ckwhqu", 6], ["6.2.ab_c_af_b_c_g", "6.64.bw_bvq_bgqa_rbcz_hcxyu_ckwhqu", 6], ["6.2.a_a_ac_b_ac_k", "6.64.bw_bvq_bgqa_rbcz_hcxyu_ckwhqu", 6], ["6.2.b_c_f_b_ac_g", "6.64.bw_bvq_bgqa_rbcz_hcxyu_ckwhqu", 6], ["6.2.c_c_ac_b_i_y", "6.64.bw_bvq_bgqa_rbcz_hcxyu_ckwhqu", 6], ["6.2.c_c_c_j_m_q", "6.64.bw_bvq_bgqa_rbcz_hcxyu_ckwhqu", 6], ["6.2.d_g_h_b_ao_aba", "6.64.bw_bvq_bgqa_rbcz_hcxyu_ckwhqu", 6], ["6.2.e_i_o_z_bi_bq", "6.64.bw_bvq_bgqa_rbcz_hcxyu_ckwhqu", 6], ["6.2.g_s_bi_bx_cm_dk", "6.64.bw_bvq_bgqa_rbcz_hcxyu_ckwhqu", 6], ["6.2.h_ba_ct_gb_la_qw", "6.64.bw_bvq_bgqa_rbcz_hcxyu_ckwhqu", 6], ["6.2.ah_bc_add_hd_ang_um", "6.256.abx_bky_algj_ahccl_ldxxg_ahxbbiu", 8], ["6.2.af_k_aj_af_bm_acy", "6.256.abx_bky_algj_ahccl_ldxxg_ahxbbiu", 8], ["6.2.af_s_abx_ed_ahm_lo", "6.256.abx_bky_algj_ahccl_ldxxg_ahxbbiu", 8], ["6.2.ad_i_ar_bd_abs_cq", "6.256.abx_bky_algj_ahccl_ldxxg_ahxbbiu", 8], ["6.2.ad_i_an_r_aq_u", "6.256.abx_bky_algj_ahccl_ldxxg_ahxbbiu", 8], ["6.2.ab_ac_d_af_ac_u", "6.256.abx_bky_algj_ahccl_ldxxg_ahxbbiu", 8], ["6.2.ab_e_ad_f_e_e", "6.256.abx_bky_algj_ahccl_ldxxg_ahxbbiu", 8], ["6.2.ab_g_af_l_ak_m", "6.256.abx_bky_algj_ahccl_ldxxg_ahxbbiu", 8], ["6.2.b_ac_ad_af_c_u", "6.256.abx_bky_algj_ahccl_ldxxg_ahxbbiu", 8], ["6.2.b_e_d_f_ae_e", "6.256.abx_bky_algj_ahccl_ldxxg_ahxbbiu", 8], ["6.2.b_g_f_l_k_m", "6.256.abx_bky_algj_ahccl_ldxxg_ahxbbiu", 8], ["6.2.d_i_n_r_q_u", "6.256.abx_bky_algj_ahccl_ldxxg_ahxbbiu", 8], ["6.2.d_i_r_bd_bs_cq", "6.256.abx_bky_algj_ahccl_ldxxg_ahxbbiu", 8], ["6.2.f_k_j_af_abm_acy", "6.256.abx_bky_algj_ahccl_ldxxg_ahxbbiu", 8], ["6.2.f_s_bx_ed_hm_lo", "6.256.abx_bky_algj_ahccl_ldxxg_ahxbbiu", 8], ["6.2.h_bc_dd_hd_ng_um", "6.256.abx_bky_algj_ahccl_ldxxg_ahxbbiu", 8], ["6.2.ag_u_abu_dj_afo_ii", "6.4096.gq_wju_cejwm_bebjbl_ajxjysyy_abgjspbasu", 12], ["6.2.ae_k_aw_br_acs_dy", "6.4096.gq_wju_cejwm_bebjbl_ajxjysyy_abgjspbasu", 12], ["6.2.ac_e_ag_p_au_bg", "6.4096.gq_wju_cejwm_bebjbl_ajxjysyy_abgjspbasu", 12], ["6.2.ac_e_ac_h_ai_y", "6.4096.gq_wju_cejwm_bebjbl_ajxjysyy_abgjspbasu", 12], ["6.2.a_c_ac_d_ag_g", "6.4096.gq_wju_cejwm_bebjbl_ajxjysyy_abgjspbasu", 12], ["6.2.a_c_c_d_g_g", "6.4096.gq_wju_cejwm_bebjbl_ajxjysyy_abgjspbasu", 12], ["6.2.c_e_c_h_i_y", "6.4096.gq_wju_cejwm_bebjbl_ajxjysyy_abgjspbasu", 12], ["6.2.c_e_g_p_u_bg", "6.4096.gq_wju_cejwm_bebjbl_ajxjysyy_abgjspbasu", 12], ["6.2.e_k_w_br_cs_dy", "6.4096.gq_wju_cejwm_bebjbl_ajxjysyy_abgjspbasu", 12], ["6.2.g_u_bu_dj_fo_ii", "6.4096.gq_wju_cejwm_bebjbl_ajxjysyy_abgjspbasu", 12], ["6.2.af_m_at_x_au_s", "6.16777216.zs_ahdehqo_aehvndkkq_wirqzoazidl_ecpdbowlqbheu_abohwlfbtaajrthtlo", 24], ["6.2.af_q_abn_db_afg_hy", "6.16777216.zs_ahdehqo_aehvndkkq_wirqzoazidl_ecpdbowlqbheu_abohwlfbtaajrthtlo", 24], ["6.2.ae_k_as_bd_abm_ca", "6.16777216.zs_ahdehqo_aehvndkkq_wirqzoazidl_ecpdbowlqbheu_abohwlfbtaajrthtlo", 24], ["6.2.ae_m_aba_bz_ade_eu", "6.16777216.zs_ahdehqo_aehvndkkq_wirqzoazidl_ecpdbowlqbheu_abohwlfbtaajrthtlo", 24], ["6.2.ac_ac_g_b_ae_ae", "6.16777216.zs_ahdehqo_aehvndkkq_wirqzoazidl_ecpdbowlqbheu_abohwlfbtaajrthtlo", 24], ["6.2.ac_a_c_ab_e_am", "6.16777216.zs_ahdehqo_aehvndkkq_wirqzoazidl_ecpdbowlqbheu_abohwlfbtaajrthtlo", 24], ["6.2.ac_a_c_f_ai_g", "6.16777216.zs_ahdehqo_aehvndkkq_wirqzoazidl_ecpdbowlqbheu_abohwlfbtaajrthtlo", 24], ["6.2.ac_c_ac_h_ai_k", "6.16777216.zs_ahdehqo_aehvndkkq_wirqzoazidl_ecpdbowlqbheu_abohwlfbtaajrthtlo", 24], ["6.2.ac_e_ag_n_aq_ba", "6.16777216.zs_ahdehqo_aehvndkkq_wirqzoazidl_ecpdbowlqbheu_abohwlfbtaajrthtlo", 24], ["6.2.ac_g_ak_r_au_bk", "6.16777216.zs_ahdehqo_aehvndkkq_wirqzoazidl_ecpdbowlqbheu_abohwlfbtaajrthtlo", 24], ["6.2.ac_g_ak_x_abg_cc", "6.16777216.zs_ahdehqo_aehvndkkq_wirqzoazidl_ecpdbowlqbheu_abohwlfbtaajrthtlo", 24], ["6.2.ac_i_ao_bf_abs_cy", "6.16777216.zs_ahdehqo_aehvndkkq_wirqzoazidl_ecpdbowlqbheu_abohwlfbtaajrthtlo", 24], ["6.2.ab_a_b_ab_ae_s", "6.16777216.zs_ahdehqo_aehvndkkq_wirqzoazidl_ecpdbowlqbheu_abohwlfbtaajrthtlo", 24], ["6.2.ab_e_ad_h_ai_o", 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"6.16777216.zs_ahdehqo_aehvndkkq_wirqzoazidl_ecpdbowlqbheu_abohwlfbtaajrthtlo", 24]]}