# Stored data for abelian variety isogeny class 2.243.acg_byx, downloaded from the LMFDB on 02 November 2025.
{"abvar_count": 46221, "abvar_counts": [46221, 3444620025, 205787963446128, 12157496427346895625, 717897995013287241115221, 42391159442775974272146566400, 2503155507940220756837344600103277, 147808829400951792577893508444275575625, 8727963567903324302916390190699106345481072, 515377520730814526442475475303464337023236587625], "abvar_counts_str": "46221 3444620025 205787963446128 12157496427346895625 717897995013287241115221 42391159442775974272146566400 2503155507940220756837344600103277 147808829400951792577893508444275575625 8727963567903324302916390190699106345481072 515377520730814526442475475303464337023236587625 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.0339262533066567, 0.166666666666667], "center_dim": 4, "curve_count": 186, "curve_counts": [186, 58332, 14341716, 3486735924, 847288618086, 205891137765414, 50031545157902130, 12157665457955226276, 2954312706488420494188, 717897987690185493145932], "curve_counts_str": "186 58332 14341716 3486735924 847288618086 205891137765414 50031545157902130 12157665457955226276 2954312706488420494188 717897987690185493145932 ", "dim1_distinct": 2, "dim1_factors": 2, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "geom_dim1_factors": 2, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "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": 3, "geometric_extension_degree": 6, "geometric_galois_groups": ["1T1", "2T1"], "geometric_number_fields": ["1.1.1.1", "2.0.11.1"], "geometric_splitting_field": "2.0.11.1", "geometric_splitting_polynomials": [[3, -1, 1]], "has_geom_ss_factor": true, "has_jacobian": 1, "has_principal_polarization": 1, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": false, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "label": "2.243.acg_byx", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 6, "newton_coelevation": 1, "newton_elevation": 1, "number_fields": ["2.0.11.1", "2.0.3.1"], "p": 3, "p_rank": 1, "p_rank_deficit": 1, "poly": [1, -58, 1323, -14094, 59049], "poly_str": "1 -58 1323 -14094 59049 ", "primitive_models": ["2.3.c_d"], "q": 243, "real_poly": [1, -58, 837], "simple_distinct": ["1.243.abf", "1.243.abb"], "simple_factors": ["1.243.abfA", "1.243.abbA"], "simple_multiplicities": [1, 1], "slopes": ["0A", "1/2A", "1/2B", "1A"], "splitting_field": "4.0.1089.1", "splitting_polynomials": [[9, -3, -2, -1, 1]], "twist_count": 6, "twists": [["2.243.ae_ann", "2.59049.abbq_nhlr", 2], ["2.243.e_ann", "2.59049.abbq_nhlr", 2], ["2.243.cg_byx", "2.59049.abbq_nhlr", 2], ["2.243.abf_ss", "2.14348907.akqq_ckuukc", 3], ["2.243.ae_ann", "2.14348907.akqq_ckuukc", 3], ["2.243.bf_ss", "2.205891132094649.mkqsi_abtwpenlxahm", 6]]}