# Stored data for abelian variety isogeny class 2.23.ae_bw, downloaded from the LMFDB on 19 October 2025.
{"abvar_count": 482, "abvar_counts": [482, 324868, 150939746, 77990411024, 41385055791682, 21915915283101700, 11593223572118545538, 6132614394706143494144, 3244149028104479656192034, 1716155799535559942496945028], "abvar_counts_str": "482 324868 150939746 77990411024 41385055791682 21915915283101700 11593223572118545538 6132614394706143494144 3244149028104479656192034 1716155799535559942496945028 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.384155169532384, 0.480547927870025], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 20, "curve_counts": [20, 610, 12404, 278694, 6429900, 148044610, 3404939180, 78311036094, 1801151616692, 41426510446050], "curve_counts_str": "20 610 12404 278694 6429900 148044610 3404939180 78311036094 1801151616692 41426510446050 ", "curves": ["y^2=13*x^6+19*x^5+10*x^4+15*x^3+10*x^2+10", "y^2=10*x^6+4*x^5+10*x^4+7*x^3+16*x^2+8*x+11", "y^2=8*x^6+21*x^5+9*x^4+2*x^3+10*x^2+9*x+12", "y^2=16*x^5+13*x^4+21*x^3+3*x^2+4*x+9", "y^2=18*x^6+13*x^5+6*x^4+12*x^3+7*x^2+22*x+19", "y^2=21*x^6+12*x^4+7*x^3+20*x^2+9*x+20", "y^2=15*x^6+8*x^5+8*x^4+11*x^3+6*x^2+9*x+7", "y^2=10*x^6+19*x^4+7*x^3+5*x^2+9*x+1", "y^2=16*x^6+2*x^5+9*x^4+21*x^3+2*x^2+17*x+21", "y^2=2*x^6+2*x^5+10*x^4+5*x^3+6*x^2+x+11", "y^2=11*x^6+8*x^5+2*x^4+15*x^3+22*x^2+11*x+12", "y^2=16*x^6+16*x^5+x^4+12*x^3+9*x^2+15*x+14"], "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": 1, "g": 2, "galois_groups": ["4T3"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["4T3"], "geometric_number_fields": ["4.0.471296.1"], "geometric_splitting_field": "4.0.471296.1", "geometric_splitting_polynomials": [[482, -4, 42, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 12, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 12, "label": "2.23.ae_bw", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.471296.1"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -4, 48, -92, 529], "poly_str": "1 -4 48 -92 529 ", "primitive_models": [], "q": 23, "real_poly": [1, -4, 2], "simple_distinct": ["2.23.ae_bw"], "simple_factors": ["2.23.ae_bwA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.471296.1", "splitting_polynomials": [[482, -4, 42, 0, 1]], "twist_count": 2, "twists": [["2.23.e_bw", "2.529.dc_dxa", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 7364, "zfv_singular_count": 0, "zfv_singular_primes": []}