# Stored data for abelian variety isogeny class 3.13.ad_g_aq, downloaded from the LMFDB on 12 September 2026.
{"abvar_count": 1756, "abvar_counts": [1756, 4930848, 10509408892, 23448213749376, 50968707724346176, 112578032953643710752, 247213886458109920741468, 542817708210028159901231616, 1192555218333633428179646300764, 2619984747344951025436650815397888], "abvar_counts_str": "1756 4930848 10509408892 23448213749376 50968707724346176 112578032953643710752 247213886458109920741468 542817708210028159901231616 1192555218333633428179646300764 2619984747344951025436650815397888 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.133902217838498, 0.421413033094201, 0.765733348438758], "center_dim": 6, "curve_count": 11, "curve_counts": [11, 173, 2177, 28745, 369716, 4832069, 62786441, 815756177, 10604694347, 137857918508], "curve_counts_str": "11 173 2177 28745 369716 4832069 62786441 815756177 10604694347 137857918508 ", "curves": ["y^2=2*x^8+2*x^6+9*x^5+3*x^4+6*x^3+5*x^2+7*x", "y^2=x^8+6*x^7+6*x^6+6*x^5+7*x^4+9*x^3+6*x^2+3*x", "y^2=2*x^8+7*x^7+8*x^6+9*x^5+5*x^4+4*x^3+x^2+5*x", "y^2=2*x^8+9*x^7+x^6+8*x^5+9*x^4+x^3+8*x^2+8*x+6", "y^2=x^8+3*x^7+8*x^6+3*x^5+x^4+8*x^3+11*x^2+2*x", "y^2=x^8+4*x^7+9*x^6+11*x^5+3*x^4+8*x^3+10*x^2+2*x", "y^2=x^7+9*x^6+4*x^5+7*x^4+4*x^3+4*x^2+4*x+6", "y^2=x^7+2*x^6+7*x^5+7*x^4+x^3+9*x^2+3*x", "y^2=x^7+3*x^5+5*x^4+3*x^3+4*x^2+12*x+7", "y^2=2*x^8+7*x^7+7*x^6+3*x^5+10*x^4+10*x^3+10*x^2+5*x", "y^2=2*x^8+8*x^7+4*x^6+7*x^5+10*x^4+x^3+11*x^2+10*x+12", "y^2=x^8+5*x^7+12*x^6+2*x^5+4*x^4+5*x^3+8*x^2+8*x+2", "y^2=2*x^8+3*x^7+5*x^6+6*x^5+7*x^4+5*x^3+2*x^2+6*x+11", "y^2=2*x^8+5*x^7+12*x^6+8*x^5+8*x^4+3*x^3+8*x^2+x+2", "y^2=x^8+9*x^7+6*x^6+5*x^5+10*x^4+3*x^3+7*x^2+10*x+11", "y^2=2*x^8+10*x^7+5*x^6+5*x^5+9*x^4+11*x^3+11*x^2+3*x+12", "y^2=2*x^8+8*x^7+6*x^6+12*x^5+8*x^4+x^3+5*x^2+x+11", "y^2=2*x^8+8*x^7+7*x^5+6*x^4+3*x^3+5*x^2+6*x+12", "y^2=x^8+4*x^7+9*x^6+12*x^5+8*x^4+11*x^3+4*x^2+8*x+11", "y^2=2*x^7+3*x^6+2*x^5+7*x^4+11*x^3+9*x^2+9*x+4", "y^2=2*x^8+4*x^7+x^6+2*x^5+10*x^4+2*x^3+x^2+11*x", "y^2=2*x^7+9*x^6+12*x^5+4*x^4+12*x^3+4*x^2+12*x+5", "y^2=2*x^8+8*x^7+x^5+5*x^4+9*x^3+x^2+2*x+11", "y^2=2*x^8+2*x^7+11*x^6+3*x^5+6*x^4+2*x^3+10*x^2+5*x", "y^2=x^8+6*x^7+x^6+11*x^5+7*x^4+6*x^3+4*x^2+3*x+11", "y^2=x^8+6*x^7+4*x^6+7*x^5+7*x^4+6*x^3+8*x^2+5*x+6", "y^2=x^7+12*x^6+6*x^5+7*x^4+8*x+10", "y^2=x^8+11*x^7+10*x^6+6*x^5+12*x^4+x^3+x^2+6*x+5", "y^2=2*x^8+11*x^7+12*x^6+12*x^5+4*x^4+3*x^3+x+2", "y^2=2*x^8+12*x^7+x^6+11*x^5+4*x^4+11*x^3+x+10", "y^2=2*x^8+3*x^7+7*x^6+2*x^5+9*x^4+2*x^3+11*x^2+9*x+8", "y^2=2*x^8+9*x^7+12*x^6+6*x^5+8*x^4+5*x^3+7*x^2+11*x+7", "y^2=x^8+x^7+x^6+10*x^5+11*x^4+3*x^3+x^2+x+7", "y^2=x^8+2*x^7+10*x^6+x^5+8*x^4+12*x^3+x+7", "y^2=x^8+5*x^7+11*x^6+10*x^5+5*x^4+6*x^3+4*x^2+11*x+6", "y^2=2*x^8+5*x^7+4*x^6+x^5+12*x^4+7*x^3+11*x^2+3*x+8"], "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": ["6.0.130263444.1"], "geometric_splitting_field": "6.0.130263444.1", "geometric_splitting_polynomials": [[118, -38, 35, -18, 12, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 36, "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.ad_g_aq", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["6.0.130263444.1"], "p": 13, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, -3, 6, -16, 78, -507, 2197], "poly_str": "1 -3 6 -16 78 -507 2197 ", "primitive_models": [], "q": 13, "real_poly": [1, -3, -33, 62], "simple_distinct": ["3.13.ad_g_aq"], "simple_factors": ["3.13.ad_g_aqA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.130263444.1", "splitting_polynomials": [[118, -38, 35, -18, 12, -1, 1]], "twist_count": 2, "twists": [["3.13.d_g_q", "3.169.d_ds_dae", 2]]}