# Stored data for abelian variety isogeny class 2.23.ab_aw, downloaded from the LMFDB on 02 January 2026.
{"abvar_count": 484, "abvar_counts": [484, 257488, 146410000, 78582247744, 41410220796604, 21920460691360000, 11593101641419302796, 6132639814235669839104, 3244158718390250206810000, 1716155563440731006854110928], "abvar_counts_str": "484 257488 146410000 78582247744 41410220796604 21920460691360000 11593101641419302796 6132639814235669839104 3244158718390250206810000 1716155563440731006854110928 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.133420151236984, 0.800086817903651], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 23, "curve_counts": [23, 485, 12032, 280809, 6433813, 148075310, 3404903371, 78311360689, 1801156996736, 41426504746925], "curve_counts_str": "23 485 12032 280809 6433813 148075310 3404903371 78311360689 1801156996736 41426504746925 ", "curves": ["y^2=6*x^5+9*x^4+5*x^3+8*x+18", "y^2=7*x^6+3*x^5+16*x^4+21*x^3+18*x^2+3*x", "y^2=4*x^6+2*x^5+x^4+10*x^2+4*x+14", "y^2=6*x^6+2*x^5+19*x^4+8*x^3+7*x^2+13*x+14", "y^2=3*x^6+20*x^5+3*x^4+6*x^3+4*x^2+12*x+16", "y^2=14*x^6+12*x^5+22*x^4+18*x^3+18*x^2+9*x+22", "y^2=3*x^6+18*x^4+12*x^3+6*x^2+8*x", "y^2=11*x^6+3*x^5+17*x^4+21*x^3+17*x^2+9", "y^2=17*x^6+15*x^5+7*x^4+x^3+15*x^2+18*x+20", "y^2=18*x^6+2*x^5+9*x^4+9*x^3+14*x^2+21*x+17"], "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": 3, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.91.1"], "geometric_splitting_field": "2.0.91.1", "geometric_splitting_polynomials": [[23, -1, 1]], "group_structure_count": 4, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 10, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 10, "label": "2.23.ab_aw", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2, 11], "number_fields": ["4.0.74529.4"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2], [1, 7, 1, 12]], "poly": [1, -1, -22, -23, 529], "poly_str": "1 -1 -22 -23 529 ", "primitive_models": [], "principal_polarization_count": 10, "q": 23, "real_poly": [1, -1, -68], "simple_distinct": ["2.23.ab_aw"], "simple_factors": ["2.23.ab_awA"], "simple_multiplicities": [1], "singular_primes": ["2,-F+1", "11,40*F-43*V+58"], "size": 40, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.74529.4", "splitting_polynomials": [[529, -23, -22, -1, 1]], "twist_count": 6, "twists": [["2.23.b_aw", "2.529.abt_cfo", 2], ["2.23.c_bv", "2.12167.afg_bqvu", 3], ["2.23.ac_bv", "2.148035889.cgie_cfqaiqg", 6], ["2.23.a_bt", "2.148035889.cgie_cfqaiqg", 6], ["2.23.a_abt", "2.21914624432020321.apoltge_ogzigoamdumg", 12]], "weak_equivalence_count": 4, "zfv_index": 22, "zfv_index_factorization": [[2, 1], [11, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 24, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 484, "zfv_singular_count": 4, "zfv_singular_primes": ["2,-F+1", "11,40*F-43*V+58"]}