# Stored data for abelian variety isogeny class 1.73.o, downloaded from the LMFDB on 17 November 2025. {"abvar_count": 88, "abvar_counts": [88, 5280, 388696, 28406400, 2072980888, 151334900640, 11047395699736, 806460082137600, 58871587050672088, 4297625825622122400], "abvar_counts_str": "88 5280 388696 28406400 2072980888 151334900640 11047395699736 806460082137600 58871587050672088 4297625825622122400 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.805631034677663], "center_dim": 2, "cohen_macaulay_max": 1, "curve_count": 88, "curve_counts": [88, 5280, 388696, 28406400, 2072980888, 151334900640, 11047395699736, 806460082137600, 58871587050672088, 4297625825622122400], "curve_counts_str": "88 5280 388696 28406400 2072980888 151334900640 11047395699736 806460082137600 58871587050672088 4297625825622122400 ", "curves": ["y^2=x^3+2*x+2", "y^2=x^3+53*x+53", "y^2=x^3+40*x+54", "y^2=x^3+17*x+12", "y^2=x^3+38*x+38", "y^2=x^3+39*x+49"], "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": ["2.0.24.1"], "geometric_splitting_field": "2.0.24.1", "geometric_splitting_polynomials": [[6, 0, 1]], "group_structure_count": 2, "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": 6, "label": "1.73.o", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "number_fields": ["2.0.24.1"], "p": 73, "p_rank": 1, "p_rank_deficit": 0, "poly": [1, 14, 73], "poly_str": "1 14 73 ", "primitive_models": [], "principal_polarization_count": 6, "q": 73, "real_poly": [1, 14], "simple_distinct": ["1.73.o"], "simple_factors": ["1.73.oA"], "simple_multiplicities": [1], "singular_primes": ["2,F+1"], "size": 6, "slopes": ["0A", "1A"], "splitting_field": "2.0.24.1", "splitting_polynomials": [[6, 0, 1]], "twist_count": 2, "twists": [["1.73.ao", "1.5329.aby", 2]], "weak_equivalence_count": 2, "zfv_index": 2, "zfv_index_factorization": [[2, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 96, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F+1"]}