# Stored data for abelian variety isogeny class 1.343.ay, downloaded from the LMFDB on 15 May 2024.
{"label": "1.343.ay", "g": 1, "p": 7, "q": 343, "poly": [1, -24, 343], "poly_str": "1 -24 343 ", "slopes": ["0A", "1A"], "p_rank": 1, "p_rank_deficit": 0, "angles": [0.275631121077097], "angle_rank": 1, "number_fields": ["2.0.199.1"], "galois_groups": ["2T1"], "center_dim": 2, "abvar_counts": [320, 117760, 40364480, 13841510400, 4747563137600, 1628413560417280, 558545862625161920, 191581231358431641600, 65712362363503181468480, 22539340290699103946828800], "abvar_counts_str": "320 117760 40364480 13841510400 4747563137600 1628413560417280 558545862625161920 191581231358431641600 65712362363503181468480 22539340290699103946828800 ", "abvar_count": 320, "curve_counts": [320, 117760, 40364480, 13841510400, 4747563137600, 1628413560417280, 558545862625161920, 191581231358431641600, 65712362363503181468480, 22539340290699103946828800], "curve_counts_str": "320 117760 40364480 13841510400 4747563137600 1628413560417280 558545862625161920 191581231358431641600 65712362363503181468480 22539340290699103946828800 ", "curve_count": 320, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.199.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["1.343.y", "1.117649.eg", 2]], "twist_count": 2, "max_twist_degree": 2, "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "is_simple": true, "is_geometrically_simple": true, "simple_distinct": ["1.343.ay"], "simple_multiplicities": [1], "simple_factors": ["1.343.ayA"], "dim1_factors": 1, "dim2_factors": 0, "dim3_factors": 0, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 1, "dim2_distinct": 0, "dim3_distinct": 0, "dim4_distinct": 0, "dim5_distinct": 0, "geom_dim1_factors": 1, "geom_dim2_factors": 0, "geom_dim3_factors": 0, "geom_dim4_factors": 0, "geom_dim5_factors": 0, "geom_dim1_distinct": 1, "geom_dim2_distinct": 0, "geom_dim3_distinct": 0, "geom_dim4_distinct": 0, "geom_dim5_distinct": 0, "has_geom_ss_factor": false, "real_poly": [1, -24], "jacobian_count": 18, "hyp_count": 18, "geometric_splitting_field": "2.0.199.1", "splitting_field": "2.0.199.1", "geometric_splitting_polynomials": [[50, -1, 1]], "splitting_polynomials": [[50, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": true}