# Stored data for abelian variety isogeny class 2.13.e_m, downloaded from the LMFDB on 15 September 2025.
{"abvar_count": 238, "abvar_counts": [238, 29988, 4998238, 817712784, 137015457838, 23312491781796, 3937313338174174, 665477847412051968, 112454783979964545742, 19004809661772946431588], "abvar_counts_str": "238 29988 4998238 817712784 137015457838 23312491781796 3937313338174174 665477847412051968 112454783979964545742 19004809661772946431588 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.399336647682987, 0.833125339852102], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 18, "curve_counts": [18, 178, 2274, 28630, 369018, 4829794, 62747514, 815805790, 10604440626, 137857373938], "curve_counts_str": "18 178 2274 28630 369018 4829794 62747514 815805790 10604440626 137857373938 ", "curves": ["y^2=9*x^6+3*x^5+9*x^4+3*x^3+8*x^2+5*x+11", "y^2=x^6+12*x^5+4*x^4+10*x^3+12*x^2+1", "y^2=4*x^6+10*x^5+9*x^4+5*x^3+3*x^2+2*x+5", "y^2=5*x^6+6*x^5+5*x^3+9*x^2+2*x+2", "y^2=8*x^6+9*x^5+2*x^4+5*x^3+11*x^2+3*x+12", "y^2=11*x^5+4*x^4+8*x^3+9*x^2+4*x+12", "y^2=9*x^6+9*x^4+11*x^3+7*x^2+3*x+3", "y^2=5*x^5+9*x^3+11*x+8", "y^2=3*x^6+3*x^5+x^4+2*x^3+2*x^2+3", "y^2=9*x^6+4*x^5+6*x^4+6*x^3+9*x^2+x+4", "y^2=9*x^6+4*x^5+2*x^4+8*x^3+3*x^2+12*x+9", "y^2=4*x^6+12*x^5+6*x^4+4*x^3+8*x^2+11*x+6", "y^2=x^6+5*x^5+12*x^4+5*x^3+2*x^2+2*x+2", "y^2=5*x^6+x^5+10*x^4+2*x^3+12*x^2+6*x+4", "y^2=4*x^6+4*x^5+6*x^4+11*x^3+x^2+9*x+1", "y^2=4*x^6+x^5+9*x^4+x^3+2*x^2+6*x+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": 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": ["4.0.39168.3"], "geometric_splitting_field": "4.0.39168.3", "geometric_splitting_polynomials": [[46, -12, 14, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 16, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 16, "label": "2.13.e_m", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.39168.3"], "p": 13, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 4, 12, 52, 169], "poly_str": "1 4 12 52 169 ", "primitive_models": [], "q": 13, "real_poly": [1, 4, -14], "simple_distinct": ["2.13.e_m"], "simple_factors": ["2.13.e_mA"], "simple_multiplicities": [1], "singular_primes": ["3,2*F-6*V-22"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.39168.3", "splitting_polynomials": [[46, -12, 14, 0, 1]], "twist_count": 2, "twists": [["2.13.ae_m", "2.169.i_co", 2]], "weak_equivalence_count": 3, "zfv_index": 9, "zfv_index_factorization": [[3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 3, "zfv_plus_index_factorization": [[3, 1]], "zfv_plus_norm": 612, "zfv_singular_count": 2, "zfv_singular_primes": ["3,2*F-6*V-22"]}