# Stored data for abelian variety isogeny class 1.79.a, downloaded from the LMFDB on 31 October 2025.
{"abvar_count": 80, "abvar_counts": [80, 6400, 493040, 38937600, 3077056400, 243088441600, 19203908986160, 1517108732006400, 119851595982618320, 9468276088780960000], "abvar_counts_str": "80 6400 493040 38937600 3077056400 243088441600 19203908986160 1517108732006400 119851595982618320 9468276088780960000 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 0, "angles": [0.5], "center_dim": 2, "cohen_macaulay_max": 1, "curve_count": 80, "curve_counts": [80, 6400, 493040, 38937600, 3077056400, 243088441600, 19203908986160, 1517108732006400, 119851595982618320, 9468276088780960000], "curve_counts_str": "80 6400 493040 38937600 3077056400 243088441600 19203908986160 1517108732006400 119851595982618320 9468276088780960000 ", "curves": ["y^2=x^3+39*x+39", "y^2=x^3+21*x+63", "y^2=x^3+35*x+26", "y^2=x^3+19*x+19", "y^2=x^3+13*x+39", "y^2=x^3+3*x", "y^2=x^3+7*x+21", "y^2=x^3+55*x+55", "y^2=x^3+71*x+71", "y^2=x^3+x"], "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": 1, "geometric_extension_degree": 2, "geometric_galois_groups": ["1T1"], "geometric_number_fields": ["1.1.1.1"], "geometric_splitting_field": "1.1.1.1", "geometric_splitting_polynomials": [[0, 1]], "group_structure_count": 2, "has_geom_ss_factor": true, "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": true, "jacobian_count": 10, "label": "1.79.a", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 1, "newton_coelevation": 0, "newton_elevation": 1, "number_fields": ["2.0.79.1"], "p": 79, "p_rank": 0, "p_rank_deficit": 1, "poly": [1, 0, 79], "poly_str": "1 0 79 ", "primitive_models": [], "principal_polarization_count": 10, "q": 79, "real_poly": [1], "simple_distinct": ["1.79.a"], "simple_factors": ["1.79.aA"], "simple_multiplicities": [1], "singular_primes": ["2,F-1"], "size": 10, "slopes": ["1/2A", "1/2B"], "splitting_field": "2.0.79.1", "splitting_polynomials": [[20, -1, 1]], "twist_count": 1, "twists": [], "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": 316, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F-1"]}