# Stored data for abelian variety isogeny class 3.7.ak_ca_agm, downloaded from the LMFDB on 03 August 2026.
{"abvar_count": 92, "abvar_counts": [92, 131376, 47653424, 14599026624, 4812245621132, 1638894270843648, 559965643297751972, 191574865005304225536, 65673071043379567114256, 22532485782908781704677296], "abvar_counts_str": "92 131376 47653424 14599026624 4812245621132 1638894270843648 559965643297751972 191574865005304225536 65673071043379567114256 22532485782908781704677296 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.185925252552296, 0.227185525828505, 0.403118263530947], "center_dim": 6, "cohen_macaulay_max": 1, "curve_count": -2, "curve_counts": [-2, 54, 400, 2530, 17038, 118404, 825634, 5764610, 40329472, 282389334], "curve_counts_str": "-2 54 400 2530 17038 118404 825634 5764610 40329472 282389334 ", "curves": [], "dim1_distinct": 1, "dim1_factors": 1, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 2, "g": 3, "galois_groups": ["2T1", "4T3"], "geom_dim1_distinct": 1, "geom_dim1_factors": 1, "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": 6, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "4T3"], "geometric_number_fields": ["2.0.3.1", "4.0.13888.1"], "geometric_splitting_field": "8.0.15623000064.25", "geometric_splitting_polynomials": [[289, -34, -149, 50, 60, -14, -5, -2, 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_agm", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 3, "newton_elevation": 1, "noncyclic_primes": [2], "number_fields": ["2.0.3.1", "4.0.13888.1"], "p": 7, "p_rank": 2, "p_rank_deficit": 1, "poly": [1, -10, 52, -168, 364, -490, 343], "poly_str": "1 -10 52 -168 364 -490 343 ", "primitive_models": [], "q": 7, "real_poly": [1, -10, 31, -28], "simple_distinct": ["1.7.ae", "2.7.ag_v"], "simple_factors": ["1.7.aeA", "2.7.ag_vA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,-8*F^2+46*F-7*V^2+43*V-158"], "slopes": ["0A", "0B", "1/2A", "1/2B", "1A", "1B"], "splitting_field": "8.0.15623000064.25", "splitting_polynomials": [[289, -34, -149, 50, 60, -14, -5, -2, 1]], "twist_count": 12, "twists": [["3.7.ac_e_a", "3.49.e_cu_ty", 2], ["3.7.c_e_a", "3.49.e_cu_ty", 2], ["3.7.k_ca_gm", "3.49.e_cu_ty", 2], ["3.7.ah_bi_aeb", "3.343.ce_cwv_ckqi", 3], ["3.7.ab_ac_v", "3.343.ce_cwv_ckqi", 3], ["3.7.al_cg_ahh", "3.117649.bda_vjsp_mgruka", 6], ["3.7.af_w_acl", "3.117649.bda_vjsp_mgruka", 6], ["3.7.b_ac_av", "3.117649.bda_vjsp_mgruka", 6], ["3.7.f_w_cl", "3.117649.bda_vjsp_mgruka", 6], ["3.7.h_bi_eb", "3.117649.bda_vjsp_mgruka", 6], ["3.7.l_cg_hh", "3.117649.bda_vjsp_mgruka", 6]], "weak_equivalence_count": 2, "zfv_index": 2, "zfv_index_factorization": [[2, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 2604, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-8*F^2+46*F-7*V^2+43*V-158"]}