# Stored data for abelian variety isogeny class 2.23.ap_dw, downloaded from the LMFDB on 28 May 2026.
{"abvar_count": 270, "abvar_counts": [270, 267300, 149133960, 78532740000, 41440524305850, 21914298860731200, 11592750468002176890, 6132624019126759440000, 3244156705271078192819880, 1716156798949362892960282500], "abvar_counts_str": "270 267300 149133960 78532740000 41440524305850 21914298860731200 11592750468002176890 6132624019126759440000 3244156705271078192819880 1716156798949362892960282500 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.112386341891082, 0.28487738277385], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 9, "curve_counts": [9, 505, 12258, 280633, 6438519, 148033690, 3404800233, 78311158993, 1801155879054, 41426534571025], "curve_counts_str": "9 505 12258 280633 6438519 148033690 3404800233 78311158993 1801155879054 41426534571025 ", "curves": ["y^2=5*x^6+8*x^5+13*x^4+18*x^3+16*x^2+11*x+20", "y^2=7*x^6+17*x^5+8*x^4+14*x^3+22*x^2+19*x+20", "y^2=20*x^6+15*x^5+15*x^4+20*x^3+21*x^2+9*x+11", "y^2=22*x^6+10*x^5+4*x^4+x^3+4*x^2+8*x+19"], "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": ["2.0.11.1", "2.0.56.1"], "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_cyclic": false, "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.ap_dw", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [3], "number_fields": ["2.0.11.1", "2.0.56.1"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[2, 2, 1, 2], [1, 5, 1, 2], [2, 5, 1, 4]], "poly": [1, -15, 100, -345, 529], "poly_str": "1 -15 100 -345 529 ", "primitive_models": [], "principal_polarization_count": 8, "q": 23, "real_poly": [1, -15, 54], "simple_distinct": ["1.23.aj", "1.23.ag"], "simple_factors": ["1.23.ajA", "1.23.agA"], "simple_multiplicities": [1, 1], "singular_primes": ["3,-V+19", "3,-V+5"], "size": 20, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.379456.2", "splitting_polynomials": [[135, -34, 35, -2, 1]], "twist_count": 4, "twists": [["2.23.ad_ai", "2.529.az_bbg", 2], ["2.23.d_ai", "2.529.az_bbg", 2], ["2.23.p_dw", "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_pic_size": 8, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 616, "zfv_singular_count": 4, "zfv_singular_primes": ["3,-V+19", "3,-V+5"]}