# Stored data for abelian variety isogeny class 6.2.ag_p_at_g_bb_acj, downloaded from the LMFDB on 07 October 2026.
{"abvar_count": 1, "abvar_counts": [1, 577, 195301, 6045229, 891243181, 79220139931, 4189948510987, 345796535402469, 18850357195339609, 1179133611232275847], "abvar_counts_str": "1 577 195301 6045229 891243181 79220139931 4189948510987 345796535402469 18850357195339609 1179133611232275847 ", "angle_corank": 3, "angle_rank": 3, "angles": [0.0163720992762045, 0.0955680481607934, 0.157549204067168, 0.37977142628939, 0.540012492605238, 0.905260988165093], "center_dim": 12, "curve_count": -3, "curve_counts": [-3, -1, 6, -1, 27, 74, 123, 311, 537, 1049], "curve_counts_str": "-3 -1 6 -1 27 74 123 311 537 1049 ", "curves": [], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 6, "galois_groups": ["12T25"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 1, "geom_dim3_factors": 2, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 6, "geometric_extension_degree": 9, "geometric_galois_groups": ["6T6"], "geometric_number_fields": ["6.0.1305639.1"], "geometric_splitting_field": "12.0.15342238784889.1", "geometric_splitting_polynomials": [[8, 0, 6, -1, 3, 0, 1]], "has_geom_ss_factor": false, "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": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 0, "label": "6.2.ag_p_at_g_bb_acj", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 36, "newton_coelevation": 12, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["12.0.15342238784889.1"], "p": 2, "p_rank": 6, "p_rank_deficit": 0, "poly": [1, -6, 15, -19, 6, 27, -61, 54, 24, -152, 240, -192, 64], "poly_str": "1 -6 15 -19 6 27 -61 54 24 -152 240 -192 64 ", "primitive_models": [], "q": 2, "real_poly": [1, -6, 3, 41, -78, 21, 19], "simple_distinct": ["6.2.ag_p_at_g_bb_acj"], "simple_factors": ["6.2.ag_p_at_g_bb_acjA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "0C", "0D", "0E", "0F", "1A", "1B", "1C", "1D", "1E", "1F"], "splitting_field": "12.0.15342238784889.1", "splitting_polynomials": [[1, 0, 12, 0, 48, 0, 77, 0, 48, 0, 12, 0, 1]], "twist_count": 12, "twists": [["6.2.g_p_t_g_abb_acj", "6.4.ag_j_v_acu_abh_nd", 2], ["6.2.d_g_i_g_a_ah", "6.8.ad_j_ak_p_ahk_sf", 3], ["6.2.d_g_i_p_bb_bv", "6.8.ad_j_ak_p_ahk_sf", 3], ["6.2.ad_g_ai_g_a_ah", "6.64.j_bz_abk_adof_kfe_jafh", 6], ["6.2.ad_g_ai_p_abb_bv", "6.64.j_bz_abk_adof_kfe_jafh", 6], ["6.2.a_ad_c_d_ad_ab", "6.512.y_adm_ayko_apjzz_odhoc_bibvrfl", 9], ["6.2.a_g_c_v_g_cb", "6.512.y_adm_ayko_apjzz_odhoc_bibvrfl", 9], ["6.2.a_ad_ac_d_d_ab", "6.262144.abdc_otlm_xgmncs_akwdydbfn_aigurjttdju_wqmfvnfmvwrx", 18], ["6.2.a_g_ac_v_ag_cb", "6.262144.abdc_otlm_xgmncs_akwdydbfn_aigurjttdju_wqmfvnfmvwrx", 18], ["6.2.a_g_a_v_a_bz", "6.262144.abdc_otlm_xgmncs_akwdydbfn_aigurjttdju_wqmfvnfmvwrx", 18], ["6.2.a_ag_a_v_a_abz", "6.68719476736.adapg_bmrfxunni_agicpyoiqzqbu_bbgfbwmxnaeulaqyn_aecessqzmwkjeqdngeqfy_llquthhokfmpkneocsegvaon", 36]]}