# Stored data for abelian variety isogeny class 2.19.ah_bq, downloaded from the LMFDB on 10 June 2024.
{"abvar_count": 264, "abvar_counts": [264, 143616, 48023712, 16986326016, 6134690889624, 2214032968249344, 799004803286677944, 288433441690801803264, 104126803078997798792352, 37589986054900583642654976], "abvar_counts_str": "264 143616 48023712 16986326016 6134690889624 2214032968249344 799004803286677944 288433441690801803264 104126803078997798792352 37589986054900583642654976 ", "angle_rank": 2, "angles": [0.239076876996758, 0.477060477575927], "center_dim": 4, "curve_count": 13, "curve_counts": [13, 397, 7000, 130345, 2477563, 47061142, 893869633, 16983093649, 322686001960, 6131068312477], "curve_counts_str": "13 397 7000 130345 2477563 47061142 893869633 16983093649 322686001960 6131068312477 ", "curves": ["y^2=8*x^6+14*x^5+4*x^4+18*x^3+6", "y^2=8*x^6+16*x^5+15*x^4+13*x^3+4*x^2+16*x+4", "y^2=2*x^6+18*x^5+16*x^3+6*x^2+15*x+14", "y^2=4*x^6+14*x^5+13*x^4+x^3+12*x^2+16*x+16", "y^2=16*x^6+12*x^5+7*x^4+12*x^3+x^2+5*x+4", "y^2=13*x^6+15*x^5+x^4+6*x^3+5*x^2+7*x+8", "y^2=14*x^6+7*x^5+6*x^4+6*x^3+14*x+10", "y^2=14*x^6+x^5+15*x^4+5*x^3+13*x^2+3*x+2", "y^2=4*x^5+8*x^4+2*x^3+4*x^2+9*x+2", "y^2=15*x^6+6*x^5+12*x^4+2*x^3+6*x^2+9*x+3", "y^2=15*x^6+x^5+7*x^4+11*x^3+11*x^2+6*x+6", "y^2=10*x^6+16*x^5+11*x^4+3*x^3+x^2+6*x+4", "y^2=13*x^6+5*x^5+4*x^4+2*x^3+11*x^2+10*x+8", "y^2=10*x^6+3*x^5+16*x^4+3*x^3+5*x^2+18*x+15", "y^2=8*x^6+16*x^5+15*x^4+10*x^3+12*x^2+17*x+16", "y^2=18*x^6+11*x^5+15*x^4+17*x^3+17*x^2+7*x+10", "y^2=8*x^6+14*x^5+10*x^4+12*x^3+14*x^2+7*x", "y^2=4*x^6+9*x^5+11*x^3+13*x^2+5*x", "y^2=12*x^6+4*x^5+2*x^4+3*x^3+12*x^2+18*x+5", "y^2=10*x^6+8*x^5+9*x^4+13*x^3+4*x^2+x+18", "y^2=14*x^5+4*x^4+17*x^3+14*x^2+12*x+6", "y^2=2*x^6+13*x^5+2*x^4+6*x^3+16*x^2+14", "y^2=8*x^6+8*x^5+3*x^4+8*x^3+14*x^2+5*x+2", "y^2=9*x^6+16*x^5+x^4+9*x^3+7*x^2+14*x"], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 2, "galois_groups": ["4T3"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 1, "geom_dim2_factors": 1, "geom_dim3_distinct": 0, "geom_dim3_factors": 0, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["4T3"], "geometric_number_fields": ["4.0.728541.1"], "geometric_splitting_field": "4.0.728541.1", "geometric_splitting_polynomials": [[223, 17, 24, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 24, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "jacobian_count": 24, "label": "2.19.ah_bq", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "number_fields": ["4.0.728541.1"], "p": 19, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 2], [1, 11, 1, 12]], "poly": [1, -7, 42, -133, 361], "poly_str": "1 -7 42 -133 361 ", "primitive_models": [], "principal_polarization_count": 24, "q": 19, "real_poly": [1, -7, 4], "simple_distinct": ["2.19.ah_bq"], "simple_factors": ["2.19.ah_bqA"], "simple_multiplicities": [1], "size": 24, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.728541.1", "splitting_polynomials": [[223, 17, 24, -1, 1]], "twist_count": 2, "twists": [["2.19.h_bq", "2.361.bj_ya", 2]], "zfv_index": 2, "zfv_index_factorization": [[2, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 2676}