# Stored data for abelian variety isogeny class 1.337.n, downloaded from the LMFDB on 09 November 2025.
{"abvar_count": 351, "abvar_counts": [351, 114075, 38261808, 12897889875, 4346602336791, 1464803578929600, 493638819878269143, 166356282594537403875, 56062067225873294894256, 18892916655130011955192875], "abvar_counts_str": "351 114075 38261808 12897889875 4346602336791 1464803578929600 493638819878269143 166356282594537403875 56062067225873294894256 18892916655130011955192875 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.615205115989531], "center_dim": 2, "curve_count": 351, "curve_counts": [351, 114075, 38261808, 12897889875, 4346602336791, 1464803578929600, 493638819878269143, 166356282594537403875, 56062067225873294894256, 18892916655130011955192875], "curve_counts_str": "351 114075 38261808 12897889875 4346602336791 1464803578929600 493638819878269143 166356282594537403875 56062067225873294894256 18892916655130011955192875 ", "curves": ["y^2=x^3+165*x+165", "y^2=x^3+57*x+285", "y^2=x^3+110*x+213", "y^2=x^3+293*x+293", "y^2=x^3+65*x+65", "y^2=x^3+98*x+98", "y^2=x^3+162*x+162", "y^2=x^3+298*x+298", "y^2=x^3+252*x+249", "y^2=x^3+232*x+232", "y^2=x^3+90*x+90", "y^2=x^3+13*x+13", "y^2=x^3+237*x+237", "y^2=x^3+133*x+133", "y^2=x^3+218*x+218"], "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": ["2.0.131.1"], "geometric_splitting_field": "2.0.131.1", "geometric_splitting_polynomials": [[33, -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": 15, "label": "1.337.n", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "number_fields": ["2.0.131.1"], "p": 337, "p_rank": 1, "p_rank_deficit": 0, "poly": [1, 13, 337], "poly_str": "1 13 337 ", "primitive_models": [], "principal_polarization_count": 15, "q": 337, "real_poly": [1, 13], "simple_distinct": ["1.337.n"], "simple_factors": ["1.337.nA"], "simple_multiplicities": [1], "size": 15, "slopes": ["0A", "1A"], "splitting_field": "2.0.131.1", "splitting_polynomials": [[33, -1, 1]], "twist_count": 2, "twists": [["1.337.an", "1.113569.tl", 2]]}