# Stored data for abelian variety isogeny class 3.23.ah_cz_amc, downloaded from the LMFDB on 14 January 2026.
{"abvar_count": 9992, "abvar_counts": [9992, 180255680, 1850971037600, 21846195291008000, 266434961211355131352, 3244126571975020696448000, 39471305205920296314307566056, 480250149055064826753244362752000, 5843217822047486034876813563958936800, 71094365075796963966335435632331346046400], "abvar_counts_str": "9992 180255680 1850971037600 21846195291008000 266434961211355131352 3244126571975020696448000 39471305205920296314307566056 480250149055064826753244362752000 5843217822047486034876813563958936800 71094365075796963966335435632331346046400 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.319926650126894, 0.416585689026064, 0.520795862163566], "center_dim": 6, "curve_count": 17, "curve_counts": [17, 635, 12500, 278967, 6431507, 148034780, 3404801389, 78310885007, 1801154750300, 41426520702675], "curve_counts_str": "17 635 12500 278967 6431507 148034780 3404801389 78310885007 1801154750300 41426520702675 ", "curves": ["y^2=x^8+19*x^7+x^6+16*x^5+12*x^4+18*x^3+11*x^2+5*x", "y^2=22*x^8+15*x^7+20*x^6+14*x^5+15*x^4+21*x^3+22*x^2+5*x", "y^2=x^8+13*x^7+21*x^6+20*x^5+20*x^4+11*x^3+5*x^2+10*x", "y^2=x^8+9*x^7+5*x^6+17*x^5+3*x^4+17*x^3+12*x^2+18*x", "y^2=22*x^8+5*x^6+3*x^4+15*x^3+20*x^2+7*x+16", "y^2=22*x^8+20*x^7+19*x^6+15*x^5+2*x^4+20*x^3+9*x^2+x+2", "y^2=x^8+7*x^7+14*x^6+6*x^5+3*x^4+5*x^3+10*x+20", "y^2=x^8+15*x^7+13*x^6+12*x^5+4*x^4+12*x^3+14*x^2+5*x+3", "y^2=22*x^7+13*x^6+5*x^5+4*x^4+19*x^3+17*x^2+x+20", "y^2=x^8+9*x^7+11*x^6+20*x^5+3*x^4+16*x^3+21*x^2+x+22", "y^2=22*x^8+9*x^7+2*x^6+8*x^5+5*x^4+15*x^3+19*x^2+21*x+12", "y^2=22*x^8+12*x^7+8*x^6+3*x^5+9*x^4+21*x^3+4*x^2+11*x+14", "y^2=x^8+13*x^7+21*x^6+15*x^5+14*x^4+17*x^3+2*x^2+7*x+13", "y^2=22*x^8+8*x^7+16*x^6+17*x^5+8*x^4+18*x^3+6*x^2+21*x+3", "y^2=22*x^8+2*x^7+17*x^6+5*x^5+12*x^4+2*x^3+3*x+11", "y^2=22*x^8+15*x^7+13*x^6+5*x^5+13*x^4+5*x^3+4*x^2+6*x+5", "y^2=22*x^8+7*x^7+11*x^6+15*x^5+15*x^4+6*x^3+8*x^2+x"], "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": ["6.0.41578490624.1"], "geometric_splitting_field": "6.0.41578490624.1", "geometric_splitting_polynomials": [[9992, -824, 1236, -56, 57, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 17, "is_cyclic": false, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "label": "3.23.ah_cz_amc", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["6.0.41578490624.1"], "p": 23, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, -7, 77, -314, 1771, -3703, 12167], "poly_str": "1 -7 77 -314 1771 -3703 12167 ", "primitive_models": [], "q": 23, "real_poly": [1, -7, 8, 8], "simple_distinct": ["3.23.ah_cz_amc"], "simple_factors": ["3.23.ah_cz_amcA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.41578490624.1", "splitting_polynomials": [[9992, -824, 1236, -56, 57, -1, 1]], "twist_count": 2, "twists": [["3.23.h_cz_mc", "3.529.eb_hnf_iixq", 2]]}