# Stored data for abelian variety isogeny class 1.379.ar, downloaded from the LMFDB on 29 October 2025.
{"abvar_count": 363, "abvar_counts": [363, 144111, 54454356, 20632804203, 7819802958693, 2963706859382544, 1123244937159669687, 425709831237310964883, 161344026025660443354444, 61149385863479152279301151], "abvar_counts_str": "363 144111 54454356 20632804203 7819802958693 2963706859382544 1123244937159669687 425709831237310964883 161344026025660443354444 61149385863479152279301151 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.356176965222683], "center_dim": 2, "curve_count": 363, "curve_counts": [363, 144111, 54454356, 20632804203, 7819802958693, 2963706859382544, 1123244937159669687, 425709831237310964883, 161344026025660443354444, 61149385863479152279301151], "curve_counts_str": "363 144111 54454356 20632804203 7819802958693 2963706859382544 1123244937159669687 425709831237310964883 161344026025660443354444 61149385863479152279301151 ", "curves": ["y^2=x^3+151*x+151", "y^2=x^3+251*x+251", "y^2=x^3+290*x+290", "y^2=x^3+159*x+159"], "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": ["2.0.1227.1"], "geometric_splitting_field": "2.0.1227.1", "geometric_splitting_polynomials": [[307, -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": 4, "label": "1.379.ar", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "number_fields": ["2.0.1227.1"], "p": 379, "p_rank": 1, "p_rank_deficit": 0, "poly": [1, -17, 379], "poly_str": "1 -17 379 ", "primitive_models": [], "principal_polarization_count": 4, "q": 379, "real_poly": [1, -17], "simple_distinct": ["1.379.ar"], "simple_factors": ["1.379.arA"], "simple_multiplicities": [1], "size": 4, "slopes": ["0A", "1A"], "splitting_field": "2.0.1227.1", "splitting_polynomials": [[307, -1, 1]], "twist_count": 2, "twists": [["1.379.r", "1.143641.sb", 2]]}