# Stored data for abelian variety isogeny class 3.7.ak_ca_ago, downloaded from the LMFDB on 03 August 2026.
{"abvar_count": 90, "abvar_counts": [90, 128700, 46539360, 14131260000, 4677800643450, 1617462425779200, 558824103126708390, 191865363956838000000, 65755545242320535283360, 22542577064915201368717500], "abvar_counts_str": "90 128700 46539360 14131260000 4677800643450 1617462425779200 558824103126708390 191865363956838000000 65755545242320535283360 22542577064915201368717500 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 3, "angles": [0.106147807504828, 0.308124534521218, 0.376624142785575], "center_dim": 6, "cohen_macaulay_max": 1, "curve_count": -2, "curve_counts": [-2, 54, 394, 2450, 16558, 116856, 823954, 5773346, 40380118, 282515814], "curve_counts_str": "-2 54 394 2450 16558 116856 823954 5773346 40380118 282515814 ", "curves": [], "dim1_distinct": 3, "dim1_factors": 3, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 6, "g": 3, "galois_groups": ["2T1", "2T1", "2T1"], "geom_dim1_distinct": 3, "geom_dim1_factors": 3, "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": 6, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1", "2T1"], "geometric_number_fields": ["2.0.3.1", "2.0.19.1", "2.0.24.1"], "geometric_splitting_field": "8.0.43237380096.5", "geometric_splitting_polynomials": [[343, -252, 436, -392, 257, -76, 30, -4, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "label": "3.7.ak_ca_ago", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [3], "number_fields": ["2.0.3.1", "2.0.19.1", "2.0.24.1"], "p": 7, "p_rank": 3, "p_rank_deficit": 0, "pic_prime_gens": [[3, 2, 1, 2], [2, 5, 1, 3]], "poly": [1, -10, 52, -170, 364, -490, 343], "poly_str": "1 -10 52 -170 364 -490 343 ", "primitive_models": [], "principal_polarization_count": 8, "q": 7, "real_poly": [1, -10, 31, -30], "simple_distinct": ["1.7.af", "1.7.ad", "1.7.ac"], "simple_factors": ["1.7.afA", "1.7.adA", "1.7.acA"], "simple_multiplicities": [1, 1, 1], "singular_primes": ["3,-3*F+V^2-6*V+23", "2,-4*F^2+6*F+V^2-9*V-11"], "size": 16, "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "8.0.43237380096.5", "splitting_polynomials": [[343, -252, 436, -392, 257, -76, 30, -4, 1]], "twist_count": 24, "twists": [["3.7.ag_u_acc", "3.49.e_bg_agc", 2], ["3.7.ae_k_aba", "3.49.e_bg_agc", 2], ["3.7.a_c_abe", "3.49.e_bg_agc", 2], ["3.7.a_c_be", "3.49.e_bg_agc", 2], ["3.7.e_k_ba", "3.49.e_bg_agc", 2], ["3.7.g_u_cc", "3.49.e_bg_agc", 2], ["3.7.k_ca_go", "3.49.e_bg_agc", 2], ["3.7.ae_w_aby", "3.343.by_bgv_ons", 3], ["3.7.ab_h_k", "3.343.by_bgv_ons", 3], ["3.7.aj_bv_afu", "3.117649.abeo_svhv_aivkkoy", 6], ["3.7.ag_bg_adm", "3.117649.abeo_svhv_aivkkoy", 6], ["3.7.af_t_abu", "3.117649.abeo_svhv_aivkkoy", 6], ["3.7.ad_l_as", "3.117649.abeo_svhv_aivkkoy", 6], ["3.7.ac_q_aw", "3.117649.abeo_svhv_aivkkoy", 6], ["3.7.a_o_ag", "3.117649.abeo_svhv_aivkkoy", 6], ["3.7.a_o_g", "3.117649.abeo_svhv_aivkkoy", 6], ["3.7.b_h_ak", "3.117649.abeo_svhv_aivkkoy", 6], ["3.7.c_q_w", "3.117649.abeo_svhv_aivkkoy", 6], ["3.7.d_l_s", "3.117649.abeo_svhv_aivkkoy", 6], ["3.7.e_w_by", "3.117649.abeo_svhv_aivkkoy", 6], ["3.7.f_t_bu", "3.117649.abeo_svhv_aivkkoy", 6], ["3.7.g_bg_dm", "3.117649.abeo_svhv_aivkkoy", 6], ["3.7.j_bv_fu", "3.117649.abeo_svhv_aivkkoy", 6]], "weak_equivalence_count": 6, "zfv_index": 36, "zfv_index_factorization": [[2, 2], [3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 6, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 1368, "zfv_singular_count": 4, "zfv_singular_primes": ["3,-3*F+V^2-6*V+23", "2,-4*F^2+6*F+V^2-9*V-11"]}