# Stored data for abelian variety isogeny class 3.17.i_cb_ia, downloaded from the LMFDB on 15 January 2026.
{"abvar_count": 8396, "abvar_counts": [8396, 28042640, 115320546092, 588240363929600, 2855191516265647276, 14055896384819083544720, 69110192223041060490175052, 339444747010664136515256320000, 1667704518030487998055864586096396, 8193470104297121385142141888063917200], "abvar_counts_str": "8396 28042640 115320546092 588240363929600 2855191516265647276 14055896384819083544720 69110192223041060490175052 339444747010664136515256320000 1667704518030487998055864586096396 8193470104297121385142141888063917200 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.40649173686263, 0.69672032155602, 0.73814259578807], "center_dim": 6, "curve_count": 26, "curve_counts": [26, 332, 4778, 84324, 1416266, 24125228, 410447098, 6975676796, 118587392666, 2015994977772], "curve_counts_str": "26 332 4778 84324 1416266 24125228 410447098 6975676796 118587392666 2015994977772 ", "curves": ["y^2=x^8+15*x^7+4*x^6+11*x^5+x^4+9*x^3+16*x^2+16*x+8", "y^2=x^8+2*x^7+11*x^6+5*x^5+9*x^3+13*x^2+7*x+11", "y^2=3*x^8+14*x^7+11*x^6+11*x^4+x^3+14*x^2+7*x", "y^2=x^8+8*x^7+8*x^6+2*x^5+10*x^4+16*x^3+x^2+4*x+16", "y^2=x^8+9*x^7+5*x^6+x^5+7*x^4+14*x^3+10*x^2+14*x+5", "y^2=3*x^8+10*x^7+8*x^6+14*x^5+5*x^4+13*x^3+4*x^2+2*x", "y^2=x^8+14*x^7+5*x^6+7*x^5+12*x^4+13*x^3+9*x^2+8*x", "y^2=x^8+5*x^7+15*x^6+11*x^5+2*x^4+5*x^3+11*x^2+3*x+16", "y^2=x^8+6*x^7+2*x^6+11*x^5+12*x^4+6*x^3+2*x^2+11*x+12", "y^2=x^8+x^7+2*x^6+11*x^5+14*x^4+13*x^3+12*x^2+9*x+1", "y^2=x^8+4*x^7+11*x^6+2*x^5+x^4+11*x^2+16*x+11", "y^2=x^8+x^7+15*x^6+6*x^5+15*x^4+11*x^3+2*x^2+x+2", "y^2=x^8+6*x^7+3*x^6+13*x^5+2*x^4+7*x^3+9*x^2+6*x+9", "y^2=3*x^8+12*x^7+9*x^4+3*x^3+10*x^2+14*x+15", "y^2=x^8+13*x^7+3*x^6+13*x^5+5*x^4+4*x^3+16*x+2", "y^2=3*x^8+14*x^7+15*x^6+11*x^5+3*x^4+8*x^3+10*x+9", "y^2=x^8+11*x^6+9*x^5+12*x^4+10*x^3+5*x^2+2*x+15", "y^2=x^8+12*x^7+13*x^5+12*x^3+13*x^2+16*x+2", "y^2=x^8+15*x^7+15*x^6+8*x^5+7*x^3+4*x^2+9*x+7"], "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": ["6.0.33165747200.1"], "geometric_splitting_field": "6.0.33165747200.1", "geometric_splitting_polynomials": [[2462, -132, 408, 0, 31, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 19, "is_cyclic": false, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "label": "3.17.i_cb_ia", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["6.0.33165747200.1"], "p": 17, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, 8, 53, 208, 901, 2312, 4913], "poly_str": "1 8 53 208 901 2312 4913 ", "primitive_models": [], "q": 17, "real_poly": [1, 8, 2, -64], "simple_distinct": ["3.17.i_cb_ia"], "simple_factors": ["3.17.i_cb_iaA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.33165747200.1", "splitting_polynomials": [[2462, -132, 408, 0, 31, 0, 1]], "twist_count": 2, "twists": [["3.17.ai_cb_aia", "3.289.bq_bxj_blcm", 2]]}