# Stored data for abelian variety isogeny class 2.23.a_abq, downloaded from the LMFDB on 16 September 2025.
{"abvar_count": 488, "abvar_counts": [488, 238144, 148028456, 77916906496, 41426517718568, 21912423785743936, 11592836331211559912, 6132620008310580854784, 3244150909898138946474344, 1716156370286828451651970624], "abvar_counts_str": "488 238144 148028456 77916906496 41426517718568 21912423785743936 11592836331211559912 6132620008310580854784 3244150909898138946474344 1716156370286828451651970624 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.0668628183960181, 0.933137181603982], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 24, "curve_counts": [24, 446, 12168, 278430, 6436344, 148021022, 3404825448, 78311107774, 1801152661464, 41426524223486], "curve_counts_str": "24 446 12168 278430 6436344 148021022 3404825448 78311107774 1801152661464 41426524223486 ", "curves": ["y^2=5*x^6+8*x^4+11*x^3+22*x^2+12*x+13", "y^2=21*x^6+8*x^5+7*x^4+6*x^3+14*x^2+3*x+21", "y^2=9*x^6+10*x^5+6*x^4+4*x^2+16*x+18"], "dim1_distinct": 0, "dim1_factors": 0, "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": 4, "g": 2, "galois_groups": ["4T2"], "geom_dim1_distinct": 1, "geom_dim1_factors": 2, "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": 2, "geometric_extension_degree": 2, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.88.1"], "geometric_splitting_field": "2.0.88.1", "geometric_splitting_polynomials": [[22, 0, 1]], "group_structure_count": 3, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 3, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 3, "label": "2.23.a_abq", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.30976.2"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, -42, 0, 529], "poly_str": "1 0 -42 0 529 ", "primitive_models": [], "q": 23, "real_poly": [1, 0, -88], "simple_distinct": ["2.23.a_abq"], "simple_factors": ["2.23.a_abqA"], "simple_multiplicities": [1], "singular_primes": ["2,-4*F+V-3"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.30976.2", "splitting_polynomials": [[121, 0, 0, 0, 1]], "twist_count": 6, "twists": [["2.23.ae_by", "2.279841.acci_cifgw", 4], ["2.23.a_bq", "2.279841.acci_cifgw", 4], ["2.23.e_by", "2.279841.acci_cifgw", 4], ["2.23.ac_at", "2.21914624432020321.bonxvzw_bbtgqipupyuag", 12], ["2.23.c_at", "2.21914624432020321.bonxvzw_bbtgqipupyuag", 12]], "weak_equivalence_count": 5, "zfv_index": 8, "zfv_index_factorization": [[2, 3]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 16, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-4*F+V-3"]}