# Stored data for abelian variety isogeny class 1.361.abe, downloaded from the LMFDB on 29 October 2025.
{"abvar_count": 332, "abvar_counts": [332, 130144, 47051372, 16983792000, 6131071144652, 2213314983017824, 799006685937281132, 288441413549166528000, 104127350297301865021772, 37589973457534339022948704], "abvar_counts_str": "332 130144 47051372 16983792000 6131071144652 2213314983017824 799006685937281132 288441413549166528000 104127350297301865021772 37589973457534339022948704 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.210353590898502], "center_dim": 2, "curve_count": 332, "curve_counts": [332, 130144, 47051372, 16983792000, 6131071144652, 2213314983017824, 799006685937281132, 288441413549166528000, 104127350297301865021772, 37589973457534339022948704], "curve_counts_str": "332 130144 47051372 16983792000 6131071144652 2213314983017824 799006685937281132 288441413549166528000 104127350297301865021772 37589973457534339022948704 ", "curves": ["y^2=x^3+a^114*x+a^115", "y^2=x^3+a^211*x+a^211", "y^2=x^3+a^330*x+a^331", "y^2=x^3+a^34*x+a^34", "y^2=x^3+a^176*x+a^177", "y^2=x^3+12*x+a^301", "y^2=x^3+a^49*x+a^50", "y^2=x^3+a^68*x+a^69", "y^2=x^3+a^175*x+a^176", "y^2=x^3+a^286*x+a^286", "y^2=x^3+a^264*x+a^265", "y^2=x^3+a^49*x+a^49"], "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": ["2.0.136.1"], "geometric_splitting_field": "2.0.136.1", "geometric_splitting_polynomials": [[34, 0, 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": 12, "label": "1.361.abe", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "number_fields": ["2.0.136.1"], "p": 19, "p_rank": 1, "p_rank_deficit": 0, "poly": [1, -30, 361], "poly_str": "1 -30 361 ", "primitive_models": [], "principal_polarization_count": 12, "q": 361, "real_poly": [1, -30], "simple_distinct": ["1.361.abe"], "simple_factors": ["1.361.abeA"], "simple_multiplicities": [1], "size": 12, "slopes": ["0A", "1A"], "splitting_field": "2.0.136.1", "splitting_polynomials": [[34, 0, 1]], "twist_count": 2, "twists": [["1.361.be", "1.130321.agw", 2]]}