# Stored data for abelian variety isogeny class 1.223.aq, downloaded from the LMFDB on 26 October 2025.
{"abvar_count": 208, "abvar_counts": [208, 49920, 11096176, 2473036800, 551472617488, 122978474760960, 27424204421953456, 6115597640823091200, 1363778273764480978768, 304122555035049938553600], "abvar_counts_str": "208 49920 11096176 2473036800 551472617488 122978474760960 27424204421953456 6115597640823091200 1363778273764480978768 304122555035049938553600 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.320040401555936], "center_dim": 2, "curve_count": 208, "curve_counts": [208, 49920, 11096176, 2473036800, 551472617488, 122978474760960, 27424204421953456, 6115597640823091200, 1363778273764480978768, 304122555035049938553600], "curve_counts_str": "208 49920 11096176 2473036800 551472617488 122978474760960 27424204421953456 6115597640823091200 1363778273764480978768 304122555035049938553600 ", "curves": ["y^2=x^3+112*x+113", "y^2=x^3+125*x+125", "y^2=x^3+179*x+91", "y^2=x^3+194*x+194", "y^2=x^3+51*x+51", "y^2=x^3+222*x+222", "y^2=x^3+28*x+28", "y^2=x^3+54*x+54", "y^2=x^3+79*x+79", "y^2=x^3+220*x+214", "y^2=x^3+113*x+113", "y^2=x^3+37*x+37", "y^2=x^3+140*x+140", "y^2=x^3+104*x+104", "y^2=x^3+200*x+200", "y^2=x^3+178*x+178", "y^2=x^3+87*x+38", "y^2=x^3+182*x+100", "y^2=x^3+174*x+76", "y^2=x^3+121*x+140"], "dim1_distinct": 1, "dim1_factors": 1, "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": 1, "galois_groups": ["2T1"], "geom_dim1_distinct": 1, "geom_dim1_factors": 1, "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": 2, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.159.1"], "geometric_splitting_field": "2.0.159.1", "geometric_splitting_polynomials": [[40, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 0, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 20, "label": "1.223.aq", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "number_fields": ["2.0.159.1"], "p": 223, "p_rank": 1, "p_rank_deficit": 0, "poly": [1, -16, 223], "poly_str": "1 -16 223 ", "primitive_models": [], "principal_polarization_count": 20, "q": 223, "real_poly": [1, -16], "simple_distinct": ["1.223.aq"], "simple_factors": ["1.223.aqA"], "simple_multiplicities": [1], "size": 20, "slopes": ["0A", "1A"], "splitting_field": "2.0.159.1", "splitting_polynomials": [[40, -1, 1]], "twist_count": 2, "twists": [["1.223.q", "1.49729.hi", 2]]}