# Stored data for abelian variety isogeny class 3.13.g_bk_fc, downloaded from the LMFDB on 07 October 2026.
{"abvar_count": 3854, "abvar_counts": [3854, 5973700, 10434535424, 23298863688000, 51021155596511774, 112505920575746867200, 247053306195155644572854, 542836800550613133105696000, 1192547879012547953912142946304, 2619954703351055543543983652138500], "abvar_counts_str": "3854 5973700 10434535424 23298863688000 51021155596511774 112505920575746867200 247053306195155644572854 542836800550613133105696000 1192547879012547953912142946304 2619954703351055543543983652138500 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.413388552646283, 0.595606887086283, 0.797803059871069], "center_dim": 6, "curve_count": 20, "curve_counts": [20, 206, 2162, 28562, 370100, 4828976, 62745668, 815784866, 10604629082, 137856337646], "curve_counts_str": "20 206 2162 28562 370100 4828976 62745668 815784866 10604629082 137856337646 ", "curves": ["y^2=2*x^8+9*x^7+9*x^6+11*x^5+5*x^4+7*x^3+4*x^2+x+9", "y^2=2*x^8+5*x^6+8*x^5+2*x^4+5*x^3+5*x^2+12*x+12", "y^2=x^8+6*x^7+4*x^6+3*x^5+12*x^4+5*x^3+4*x^2+9*x+6", "y^2=x^8+9*x^7+6*x^6+x^5+4*x^4+12*x^3+4*x+6", "y^2=x^8+7*x^7+8*x^5+3*x^3+9*x^2+10*x+6", "y^2=x^8+2*x^7+x^6+11*x^5+4*x^4+7*x^3+4*x+12", "y^2=2*x^8+4*x^7+11*x^6+6*x^5+4*x^4+4*x^3+6*x^2+11*x+9", "y^2=2*x^8+x^7+10*x^6+10*x^5+9*x^4+10*x^3+12*x^2+x+1", "y^2=x^8+4*x^7+12*x^6+4*x^5+7*x^4+x^2+10*x+4", "y^2=x^8+9*x^7+12*x^6+3*x^5+4*x^4+2*x^3+9", "y^2=x^8+11*x^7+12*x^6+6*x^5+x^2+10*x+8", "y^2=x^8+3*x^7+3*x^6+8*x^5+7*x^4+11*x^3+2*x^2+6*x+1", "y^2=x^8+9*x^7+7*x^6+5*x^4+4*x+3", "y^2=x^8+8*x^7+x^6+11*x^5+10*x^4+5*x^3+5*x^2+4*x+12", "y^2=x^8+5*x^7+2*x^6+x^5+9*x^4+7*x^3+10*x^2+8*x+8", "y^2=2*x^8+3*x^7+7*x^6+9*x^5+4*x^4+12*x^3+7*x^2+5*x", "y^2=x^8+2*x^7+5*x^6+9*x^5+x^4+3*x^3+11*x^2+6*x", "y^2=x^8+5*x^7+8*x^6+6*x^5+6*x^4+8*x^3+12*x^2+11*x+3", "y^2=2*x^8+10*x^7+6*x^6+2*x^5+8*x^4+11*x^2+12*x", "y^2=x^7+2*x^6+5*x^5+x^4+5*x^3+5*x^2+4*x+4", "y^2=x^8+11*x^7+2*x^6+7*x^5+7*x^4+8*x^3+10*x^2+2*x+3", "y^2=2*x^8+11*x^7+x^6+11*x^5+2*x^4+5*x^3+x^2+x+5", "y^2=x^8+2*x^7+10*x^6+9*x^5+4*x^4+4*x^3+3*x^2+x+10", "y^2=x^8+8*x^7+10*x^6+3*x^5+8*x^4+7*x^3+7*x^2+5*x", "y^2=2*x^8+8*x^7+x^6+6*x^5+x^4+4*x^2+x+3"], "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, "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": ["6.0.29359445652.1"], "geometric_splitting_field": "6.0.29359445652.1", "geometric_splitting_polynomials": [[1550, -354, 243, -28, 21, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 25, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "label": "3.13.g_bk_fc", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["6.0.29359445652.1"], "p": 13, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, 6, 36, 132, 468, 1014, 2197], "poly_str": "1 6 36 132 468 1014 2197 ", "primitive_models": [], "q": 13, "real_poly": [1, 6, -3, -24], "simple_distinct": ["3.13.g_bk_fc"], "simple_factors": ["3.13.g_bk_fcA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.29359445652.1", "splitting_polynomials": [[1550, -354, 243, -28, 21, 0, 1]], "twist_count": 2, "twists": [["3.13.ag_bk_afc", "3.169.bk_yy_mow", 2]]}