# Stored data for abelian variety isogeny class 2.5.b_j, downloaded from the LMFDB on 29 April 2026.
{"abvar_count": 41, "abvar_counts": [41, 1189, 14309, 362645, 9876736, 244412029, 6116740349, 152850878405, 3808493585081, 95326937288704], "abvar_counts_str": "41 1189 14309 362645 9876736 244412029 6116740349 152850878405 3808493585081 95326937288704 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.455869418110625, 0.617838834988402], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 7, "curve_counts": [7, 43, 115, 579, 3162, 15643, 78295, 391299, 1949947, 9761478], "curve_counts_str": "7 43 115 579 3162 15643 78295 391299 1949947 9761478 ", "curves": ["y^2=3*x^6+3*x^5+4*x^4+4*x^3+4*x+4", "y^2=4*x^6+4*x^5+2*x^4+3*x^3+3*x^2+2"], "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": 1, "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": ["4.0.8525.1"], "geometric_splitting_field": "4.0.8525.1", "geometric_splitting_polynomials": [[25, -5, 9, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 2, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 2, "label": "2.5.b_j", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.8525.1"], "p": 5, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 5, 1, 2]], "poly": [1, 1, 9, 5, 25], "poly_str": "1 1 9 5 25 ", "primitive_models": [], "principal_polarization_count": 2, "q": 5, "real_poly": [1, 1, -1], "simple_distinct": ["2.5.b_j"], "simple_factors": ["2.5.b_jA"], "simple_multiplicities": [1], "singular_primes": [], "size": 2, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.8525.1", "splitting_polynomials": [[25, -5, 9, -1, 1]], "twist_count": 2, "twists": [["2.5.ab_j", "2.25.r_er", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 2, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 341, "zfv_singular_count": 0, "zfv_singular_primes": []}