# Stored data for abelian variety isogeny class 3.13.i_bp_fo, downloaded from the LMFDB on 15 January 2026.
{"abvar_count": 4276, "abvar_counts": [4276, 5421968, 10412286628, 23760538551296, 50780374288207156, 112434618894883422224, 247169538585626563480804, 542776427938589324793085952, 1192559117155877041417829889076, 2619977703347255955121630616916368], "abvar_counts_str": "4276 5421968 10412286628 23760538551296 50780374288207156 112434618894883422224 247169538585626563480804 542776427938589324793085952 1192559117155877041417829889076 2619977703347255955121630616916368 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.392572804922616, 0.7305429877918, 0.783731214357846], "center_dim": 6, "curve_count": 22, "curve_counts": [22, 188, 2158, 29124, 368342, 4825916, 62775182, 815694140, 10604729014, 137857547868], "curve_counts_str": "22 188 2158 29124 368342 4825916 62775182 815694140 10604729014 137857547868 ", "curves": ["y^2=2*x^7+9*x^6+x^5+7*x^4+10*x^3+9*x^2+5*x+6", "y^2=2*x^7+9*x^6+x^5+3*x^4+12*x^3+4*x+11", "y^2=x^8+3*x^7+12*x^6+10*x^5+12*x^4+8*x^3+3*x^2+8*x+7", "y^2=x^8+7*x^7+6*x^6+4*x^5+6*x^4+3*x^3+12*x^2+9*x+12"], "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": ["6.0.8945718272.1"], "geometric_splitting_field": "6.0.8945718272.1", "geometric_splitting_polynomials": [[838, -100, 168, 0, 19, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 4, "is_cyclic": false, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "label": "3.13.i_bp_fo", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["6.0.8945718272.1"], "p": 13, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, 8, 41, 144, 533, 1352, 2197], "poly_str": "1 8 41 144 533 1352 2197 ", "primitive_models": [], "q": 13, "real_poly": [1, 8, 2, -64], "simple_distinct": ["3.13.i_bp_fo"], "simple_factors": ["3.13.i_bp_foA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.8945718272.1", "splitting_polynomials": [[838, -100, 168, 0, 19, 0, 1]], "twist_count": 2, "twists": [["3.13.ai_bp_afo", "3.169.s_rb_imm", 2]]}