# Stored data for abelian variety isogeny class 2.5.ad_g, downloaded from the LMFDB on 19 December 2025.
{"abvar_count": 14, "abvar_counts": [14, 700, 13664, 380800, 10332854, 248684800, 6103126694, 153113587200, 3822403993184, 95333494217500], "abvar_counts_str": "14 700 13664 380800 10332854 248684800 6103126694 153113587200 3822403993184 95333494217500 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.147583617650433, 0.571783146564353], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 3, "curve_counts": [3, 29, 108, 609, 3303, 15914, 78123, 391969, 1957068, 9762149], "curve_counts_str": "3 29 108 609 3303 15914 78123 391969 1957068 9762149 ", "curves": ["y^2=2*x^6+2*x^5+2*x^4+x+1"], "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": ["2.0.4.1", "2.0.19.1"], "geometric_splitting_field": "4.0.5776.1", "geometric_splitting_polynomials": [[25, 0, -9, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 1, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 1, "label": "2.5.ad_g", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["2.0.4.1", "2.0.19.1"], "p": 5, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 4]], "poly": [1, -3, 6, -15, 25], "poly_str": "1 -3 6 -15 25 ", "primitive_models": [], "principal_polarization_count": 2, "q": 5, "real_poly": [1, -3, -4], "simple_distinct": ["1.5.ae", "1.5.b"], "simple_factors": ["1.5.aeA", "1.5.bA"], "simple_multiplicities": [1, 1], "singular_primes": ["5,-4*F-V+4", "5,9*F-21"], "size": 7, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.5776.1", "splitting_polynomials": [[25, 0, -9, 0, 1]], "twist_count": 8, "twists": [["2.5.af_o", "2.25.d_ae", 2], ["2.5.d_g", "2.25.d_ae", 2], ["2.5.f_o", "2.25.d_ae", 2], ["2.5.ad_m", "2.625.ar_bfk", 4], ["2.5.ab_i", "2.625.ar_bfk", 4], ["2.5.b_i", "2.625.ar_bfk", 4], ["2.5.d_m", "2.625.ar_bfk", 4]], "weak_equivalence_count": 4, "zfv_index": 25, "zfv_index_factorization": [[5, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 4, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 76, "zfv_singular_count": 4, "zfv_singular_primes": ["5,-4*F-V+4", "5,9*F-21"]}