# Stored data for abelian variety isogeny class 1.373.ar, downloaded from the LMFDB on 27 October 2025.
{"abvar_count": 357, "abvar_counts": [357, 139587, 51909228, 19356948051, 7220111650017, 2693103073141824, 1004527481732351997, 374688750756298154883, 139758904020068417795004, 52130071199254837529024907], "abvar_counts_str": "357 139587 51909228 19356948051 7220111650017 2693103073141824 1004527481732351997 374688750756298154883 139758904020068417795004 52130071199254837529024907 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.354938269792647], "center_dim": 2, "curve_count": 357, "curve_counts": [357, 139587, 51909228, 19356948051, 7220111650017, 2693103073141824, 1004527481732351997, 374688750756298154883, 139758904020068417795004, 52130071199254837529024907], "curve_counts_str": "357 139587 51909228 19356948051 7220111650017 2693103073141824 1004527481732351997 374688750756298154883 139758904020068417795004 52130071199254837529024907 ", "curves": ["y^2=x^3+339*x+305", "y^2=x^3+3*x+3", "y^2=x^3+356*x+339", "y^2=x^3+28*x+56", "y^2=x^3+334*x+295", "y^2=x^3+37*x+74"], "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": ["2.0.1203.1"], "geometric_splitting_field": "2.0.1203.1", "geometric_splitting_polynomials": [[301, -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": 6, "label": "1.373.ar", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "number_fields": ["2.0.1203.1"], "p": 373, "p_rank": 1, "p_rank_deficit": 0, "poly": [1, -17, 373], "poly_str": "1 -17 373 ", "primitive_models": [], "principal_polarization_count": 6, "q": 373, "real_poly": [1, -17], "simple_distinct": ["1.373.ar"], "simple_factors": ["1.373.arA"], "simple_multiplicities": [1], "size": 6, "slopes": ["0A", "1A"], "splitting_field": "2.0.1203.1", "splitting_polynomials": [[301, -1, 1]], "twist_count": 2, "twists": [["1.373.r", "1.139129.rp", 2]]}