# Stored data for abelian variety isogeny class 2.13.ae_bc, downloaded from the LMFDB on 03 October 2025.
{"abvar_count": 142, "abvar_counts": [142, 36068, 5088286, 810375824, 137397711982, 23295954208100, 3937608137329918, 665411854934872064, 112456050299639564014, 19005056443717366401828], "abvar_counts_str": "142 36068 5088286 810375824 137397711982 23295954208100 3937608137329918 665411854934872064 112456050299639564014 19005056443717366401828 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.343002591536762, 0.474113902873317], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 10, "curve_counts": [10, 210, 2314, 28374, 370050, 4826370, 62752210, 815724894, 10604560042, 137859164050], "curve_counts_str": "10 210 2314 28374 370050 4826370 62752210 815724894 10604560042 137859164050 ", "curves": ["y^2=7*x^6+8*x^5+2*x^4+3*x^2+11*x+6", "y^2=7*x^6+6*x^5+7*x^4+x^3+8*x^2+5", "y^2=11*x^5+2*x^4+10*x^3+7*x^2+5*x+10", "y^2=5*x^6+9*x^4+7*x^3+10*x^2+7*x+4", "y^2=7*x^6+7*x^5+11*x^4+3*x^2+5*x+11", "y^2=6*x^6+11*x^5+2*x^4+9*x^3+8*x^2+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": 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": ["4.0.133376.1"], "geometric_splitting_field": "4.0.133376.1", "geometric_splitting_polynomials": [[142, -4, 22, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 6, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 6, "label": "2.13.ae_bc", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.133376.1"], "p": 13, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -4, 28, -52, 169], "poly_str": "1 -4 28 -52 169 ", "primitive_models": [], "q": 13, "real_poly": [1, -4, 2], "simple_distinct": ["2.13.ae_bc"], "simple_factors": ["2.13.ae_bcA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.133376.1", "splitting_polynomials": [[142, -4, 22, 0, 1]], "twist_count": 2, "twists": [["2.13.e_bc", "2.169.bo_bbe", 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": 2084, "zfv_singular_count": 0, "zfv_singular_primes": []}