# Stored data for abelian variety isogeny class 2.23.ae_ah, downloaded from the LMFDB on 05 September 2025.
{"abvar_count": 427, "abvar_counts": [427, 264313, 142945936, 78266515369, 41399206944907, 21908523113478400, 11592887979375811003, 6132568541595182982729, 3244144462078119995916304, 1716156044219198474457306553], "abvar_counts_str": "427 264313 142945936 78266515369 41399206944907 21908523113478400 11592887979375811003 6132568541595182982729 3244144462078119995916304 1716156044219198474457306553 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.0297380745306707, 0.696404741197337], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 20, "curve_counts": [20, 500, 11744, 279684, 6432100, 147994670, 3404840620, 78310450564, 1801149081632, 41426516352500], "curve_counts_str": "20 500 11744 279684 6432100 147994670 3404840620 78310450564 1801149081632 41426516352500 ", "curves": [], "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": ["2.0.19.1"], "geometric_splitting_field": "2.0.19.1", "geometric_splitting_polynomials": [[5, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": -1, "has_principal_polarization": -1, "hyp_count": 0, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 0, "label": "2.23.ae_ah", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.3249.1"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 7, 1, 3]], "poly": [1, -4, -7, -92, 529], "poly_str": "1 -4 -7 -92 529 ", "primitive_models": [], "principal_polarization_count": 0, "q": 23, "real_poly": [1, -4, -53], "simple_distinct": ["2.23.ae_ah"], "simple_factors": ["2.23.ae_ahA"], "simple_multiplicities": [1], "singular_primes": ["2,5*F-9*V+31", "7,-2*F-3*V+13"], "size": 8, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.3249.1", "splitting_polynomials": [[25, -5, -4, -1, 1]], "twist_count": 6, "twists": [["2.23.e_ah", "2.529.abe_oh", 2], ["2.23.i_ck", "2.12167.aqi_dymo", 3], ["2.23.ai_ck", "2.148035889.acizk_cirkzco", 6], ["2.23.a_be", "2.148035889.acizk_cirkzco", 6], ["2.23.a_abe", "2.21914624432020321.avrhaeu_qlvddfrfmrry", 12]], "weak_equivalence_count": 4, "zfv_index": 28, "zfv_index_factorization": [[2, 2], [7, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 3, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 49, "zfv_singular_count": 4, "zfv_singular_primes": ["2,5*F-9*V+31", "7,-2*F-3*V+13"]}