# Stored data for abelian variety isogeny class 2.23.p_dw, downloaded from the LMFDB on 21 September 2025.
{"abvar_count": 990, "abvar_counts": [990, 267300, 146943720, 78532740000, 41412526209450, 21914298860731200, 11592922173349519530, 6132624019126759440000, 3244145114529494192916360, 1716156798949362892960282500], "abvar_counts_str": "990 267300 146943720 78532740000 41412526209450 21914298860731200 11592922173349519530 6132624019126759440000 3244145114529494192916360 1716156798949362892960282500 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.71512261722615, 0.887613658108918], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 39, "curve_counts": [39, 505, 12078, 280633, 6434169, 148033690, 3404850663, 78311158993, 1801149443874, 41426534571025], "curve_counts_str": "39 505 12078 280633 6434169 148033690 3404850663 78311158993 1801149443874 41426534571025 ", "curves": ["y^2=x^6+20*x^5+21*x^4+22*x^3+17*x^2+16*x+4", "y^2=6*x^6+8*x^5+20*x^4+12*x^3+9*x^2+13*x+4", "y^2=4*x^6+3*x^5+3*x^4+4*x^3+18*x^2+11*x+16", "y^2=9*x^6+2*x^5+10*x^4+14*x^3+10*x^2+20*x+13"], "dim1_distinct": 2, "dim1_factors": 2, "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": 4, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.56.1", "2.0.11.1"], "geometric_splitting_field": "4.0.379456.2", "geometric_splitting_polynomials": [[135, -34, 35, -2, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 4, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 4, "label": "2.23.p_dw", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.56.1", "2.0.11.1"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 15, 100, 345, 529], "poly_str": "1 15 100 345 529 ", "primitive_models": [], "q": 23, "real_poly": [1, 15, 54], "simple_distinct": ["1.23.g", "1.23.j"], "simple_factors": ["1.23.gA", "1.23.jA"], "simple_multiplicities": [1, 1], "singular_primes": ["3,4*F-5", "3,-5*F-10"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.379456.2", "splitting_polynomials": [[135, -34, 35, -2, 1]], "twist_count": 4, "twists": [["2.23.ap_dw", "2.529.az_bbg", 2], ["2.23.ad_ai", "2.529.az_bbg", 2], ["2.23.d_ai", "2.529.az_bbg", 2]], "weak_equivalence_count": 4, "zfv_index": 9, "zfv_index_factorization": [[3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 616, "zfv_singular_count": 4, "zfv_singular_primes": ["3,4*F-5", "3,-5*F-10"]}