# Stored data for abelian variety isogeny class 2.5.b_a, downloaded from the LMFDB on 21 November 2025.
{"abvar_count": 32, "abvar_counts": [32, 640, 17792, 442880, 9461152, 244817920, 6038282912, 152338319360, 3820359462272, 95369358275200], "abvar_counts_str": "32 640 17792 442880 9461152 244817920 6038282912 152338319360 3820359462272 95369358275200 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.293537673822758, 0.810347921094738], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 7, "curve_counts": [7, 25, 142, 705, 3027, 15670, 77287, 389985, 1956022, 9765825], "curve_counts_str": "7 25 142 705 3027 15670 77287 389985 1956022 9765825 ", "curves": ["y^2=x^5+2*x^2+3", "y^2=2*x^5+3*x^2+4", "y^2=3*x^6+4*x^5+x^3+3*x+4", "y^2=x^6+x^4+2*x^3+3*x+3"], "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": 3, "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": ["4.0.8405.1"], "geometric_splitting_field": "4.0.1025.1", "geometric_splitting_polynomials": [[4, -2, 3, -1, 1]], "group_structure_count": 3, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 4, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 4, "label": "2.5.b_a", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 1, "number_fields": ["4.0.8405.1"], "p": 5, "p_rank": 1, "p_rank_deficit": 1, "poly": [1, 1, 0, 5, 25], "poly_str": "1 1 0 5 25 ", "primitive_models": [], "q": 5, "real_poly": [1, 1, -10], "simple_distinct": ["2.5.b_a"], "simple_factors": ["2.5.b_aA"], "simple_multiplicities": [1], "singular_primes": ["2,F+2*V+1"], "slopes": ["0A", "1/2A", "1/2B", "1A"], "splitting_field": "4.0.1025.1", "splitting_polynomials": [[4, -2, 3, -1, 1]], "twist_count": 2, "twists": [["2.5.ab_a", "2.25.ab_bo", 2]], "weak_equivalence_count": 3, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 80, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F+2*V+1"]}