# Stored data for abelian variety isogeny class 1.73.ae, downloaded from the LMFDB on 25 December 2025.
{"abvar_count": 70, "abvar_counts": [70, 5460, 389830, 28392000, 2072987350, 151334344980, 11047405143670, 806460109728000, 58871586296009830, 4297625826752649300], "abvar_counts_str": "70 5460 389830 28392000 2072987350 151334344980 11047405143670 806460109728000 58871586296009830 4297625826752649300 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.424791481368672], "center_dim": 2, "cohen_macaulay_max": 1, "curve_count": 70, "curve_counts": [70, 5460, 389830, 28392000, 2072987350, 151334344980, 11047405143670, 806460109728000, 58871586296009830, 4297625826752649300], "curve_counts_str": "70 5460 389830 28392000 2072987350 151334344980 11047405143670 806460109728000 58871586296009830 4297625826752649300 ", "curves": ["y^2=x^3+43*x+69", "y^2=x^3+35*x+35", "y^2=x^3+9*x+9", "y^2=x^3+43*x+43", "y^2=x^3+27*x+62", "y^2=x^3+60*x+8", "y^2=x^3+63*x+23", "y^2=x^3+66*x+38"], "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": 1, "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": ["2.0.276.1"], "geometric_splitting_field": "2.0.276.1", "geometric_splitting_polynomials": [[69, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 8, "label": "1.73.ae", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["2.0.276.1"], "p": 73, "p_rank": 1, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2], [1, 3, 1, 2], [1, 5, 1, 4]], "poly": [1, -4, 73], "poly_str": "1 -4 73 ", "primitive_models": [], "principal_polarization_count": 8, "q": 73, "real_poly": [1, -4], "simple_distinct": ["1.73.ae"], "simple_factors": ["1.73.aeA"], "simple_multiplicities": [1], "singular_primes": [], "size": 8, "slopes": ["0A", "1A"], "splitting_field": "2.0.276.1", "splitting_polynomials": [[69, 0, 1]], "twist_count": 2, "twists": [["1.73.e", "1.5329.fa", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 8, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 276, "zfv_singular_count": 0, "zfv_singular_primes": []}