# Stored data for abelian variety isogeny class 3.5.b_l_j, downloaded from the LMFDB on 09 October 2026.
{"abvar_count": 227, "abvar_counts": [227, 35639, 1866167, 238389271, 30052498447, 3772809296063, 479721286275136, 59631558316161543, 7450152696940713083, 931936929390599865959], "abvar_counts_str": "227 35639 1866167 238389271 30052498447 3772809296063 479721286275136 59631558316161543 7450152696940713083 931936929390599865959 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.375907326846404, 0.517028019697687, 0.685443043629336], "center_dim": 6, "cohen_macaulay_max": 1, "curve_count": 7, "curve_counts": [7, 47, 121, 611, 3077, 15455, 78596, 390803, 1953013, 9772067], "curve_counts_str": "7 47 121 611 3077 15455 78596 390803 1953013 9772067 ", "curves": ["y^2=x^7+4*x^5+4*x^3+2*x^2+4*x+2", "2*x^4+3*x^3*z+x^2*y^2+3*x^2*y*z+4*x^2*z^2+x*y*z^2+x*z^3+y^3*z=0"], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 1, "dim3_factors": 1, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 1, "g": 3, "galois_groups": ["6T11"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 1, "geom_dim3_factors": 1, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 6, "geometric_extension_degree": 1, "geometric_galois_groups": ["6T11"], "geometric_number_fields": ["6.0.490372119.1"], "geometric_splitting_field": "6.0.490372119.1", "geometric_splitting_polynomials": [[125, -25, 55, -9, 11, -1, 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": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 2, "label": "3.5.b_l_j", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["6.0.490372119.1"], "p": 5, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, 1, 11, 9, 55, 25, 125], "poly_str": "1 1 11 9 55 25 125 ", "primitive_models": [], "q": 5, "real_poly": [1, 1, -4, -1], "simple_distinct": ["3.5.b_l_j"], "simple_factors": ["3.5.b_l_jA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.490372119.1", "splitting_polynomials": [[125, -25, 55, -9, 11, -1, 1]], "twist_count": 2, "twists": [["3.5.ab_l_aj", "3.25.v_if_bzd", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 4759, "zfv_singular_count": 0, "zfv_singular_primes": []}