# Stored data for abelian variety isogeny class 1.79.am, downloaded from the LMFDB on 01 November 2025.
{"abvar_count": 68, "abvar_counts": [68, 6256, 494156, 38962368, 3077115668, 243087196144, 19203901191452, 1517108736860928, 119851595721852644, 9468276085268264176], "abvar_counts_str": "68 6256 494156 38962368 3077115668 243087196144 19203901191452 1517108736860928 119851595721852644 9468276085268264176 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.264120855860826], "center_dim": 2, "cohen_macaulay_max": 1, "curve_count": 68, "curve_counts": [68, 6256, 494156, 38962368, 3077115668, 243087196144, 19203901191452, 1517108736860928, 119851595721852644, 9468276085268264176], "curve_counts_str": "68 6256 494156 38962368 3077115668 243087196144 19203901191452 1517108736860928 119851595721852644 9468276085268264176 ", "curves": ["y^2=x^3+53*x+53", "y^2=x^3+46*x+46", "y^2=x^3+14*x+14", "y^2=x^3+51*x+74"], "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": ["2.0.43.1"], "geometric_splitting_field": "2.0.43.1", "geometric_splitting_polynomials": [[11, -1, 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": 4, "label": "1.79.am", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "number_fields": ["2.0.43.1"], "p": 79, "p_rank": 1, "p_rank_deficit": 0, "pic_prime_gens": [[1, 11, 1, 3]], "poly": [1, -12, 79], "poly_str": "1 -12 79 ", "primitive_models": [], "principal_polarization_count": 4, "q": 79, "real_poly": [1, -12], "simple_distinct": ["1.79.am"], "simple_factors": ["1.79.amA"], "simple_multiplicities": [1], "singular_primes": ["2,F+3"], "size": 4, "slopes": ["0A", "1A"], "splitting_field": "2.0.43.1", "splitting_polynomials": [[11, -1, 1]], "twist_count": 2, "twists": [["1.79.m", "1.6241.o", 2]], "weak_equivalence_count": 2, "zfv_index": 2, "zfv_index_factorization": [[2, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 3, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 172, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F+3"]}