# Stored data for abelian variety isogeny class 1.73.al, downloaded from the LMFDB on 16 September 2026.
{"abvar_count": 63, "abvar_counts": [63, 5355, 390096, 28408275, 2073103263, 151333842240, 11047391982711, 806460048029475, 58871586702913488, 4297625832846775275], "abvar_counts_str": "63 5355 390096 28408275 2073103263 151333842240 11047391982711 806460048029475 58871586702913488 4297625832846775275 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.277387524566635], "center_dim": 2, "cohen_macaulay_max": 1, "curve_count": 63, "curve_counts": [63, 5355, 390096, 28408275, 2073103263, 151333842240, 11047391982711, 806460048029475, 58871586702913488, 4297625832846775275], "curve_counts_str": "63 5355 390096 28408275 2073103263 151333842240 11047391982711 806460048029475 58871586702913488 4297625832846775275 ", "curves": ["y^2=x^3+29*x+72", "y^2=x^3+50*x+50", "y^2=x^3+5*x+25", "y^2=x^3+7*x+35", "y^2=x^3+16*x+7"], "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, "endomorphism_ring_count": 2, "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]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": false, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 5, "label": "1.73.al", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "noncyclic_primes": [3], "number_fields": ["2.0.19.1"], "p": 73, "p_rank": 1, "p_rank_deficit": 0, "poly": [1, -11, 73], "poly_str": "1 -11 73 ", "primitive_models": [], "principal_polarization_count": 5, "q": 73, "real_poly": [1, -11], "simple_distinct": ["1.73.al"], "simple_factors": ["1.73.alA"], "simple_multiplicities": [1], "singular_primes": ["3,-F-2"], "size": 5, "slopes": ["0A", "1A"], "splitting_field": "2.0.19.1", "splitting_polynomials": [[5, -1, 1]], "twist_count": 2, "twists": [["1.73.l", "1.5329.z", 2]], "weak_equivalence_count": 2, "zfv_index": 3, "zfv_index_factorization": [[3, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 171, "zfv_singular_count": 2, "zfv_singular_primes": ["3,-F-2"]}