# Stored data for abelian variety isogeny class 1.349.abj, downloaded from the LMFDB on 01 November 2025.
{"abvar_count": 315, "abvar_counts": [315, 121275, 42502320, 14835449475, 5177584756575, 1806976784289600, 630634882866992955, 220091573704046242275, 76811959213316115006960, 26807373765263833783531875], "abvar_counts_str": "315 121275 42502320 14835449475 5177584756575 1806976784289600 630634882866992955 220091573704046242275 76811959213316115006960 26807373765263833783531875 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.113814939952702], "center_dim": 2, "curve_count": 315, "curve_counts": [315, 121275, 42502320, 14835449475, 5177584756575, 1806976784289600, 630634882866992955, 220091573704046242275, 76811959213316115006960, 26807373765263833783531875], "curve_counts_str": "315 121275 42502320 14835449475 5177584756575 1806976784289600 630634882866992955 220091573704046242275 76811959213316115006960 26807373765263833783531875 ", "curves": ["y^2=x^3+319*x+319", "y^2=x^3+331*x+331", "y^2=x^3+30*x+30", "y^2=x^3+219*x+219", "y^2=x^3+280*x+211"], "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": ["2.0.19.1"], "geometric_splitting_field": "2.0.19.1", "geometric_splitting_polynomials": [[5, -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": 5, "label": "1.349.abj", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "number_fields": ["2.0.19.1"], "p": 349, "p_rank": 1, "p_rank_deficit": 0, "poly": [1, -35, 349], "poly_str": "1 -35 349 ", "primitive_models": [], "principal_polarization_count": 5, "q": 349, "real_poly": [1, -35], "simple_distinct": ["1.349.abj"], "simple_factors": ["1.349.abjA"], "simple_multiplicities": [1], "size": 5, "slopes": ["0A", "1A"], "splitting_field": "2.0.19.1", "splitting_polynomials": [[5, -1, 1]], "twist_count": 2, "twists": [["1.349.bj", "1.121801.auh", 2]]}