# Stored data for abelian variety isogeny class 1.83.ae, downloaded from the LMFDB on 04 November 2025.
{"abvar_count": 80, "abvar_counts": [80, 7040, 572720, 47449600, 3938928400, 326940648320, 27136061405680, 2252292250982400, 186940254478381520, 15516041182485219200], "abvar_counts_str": "80 7040 572720 47449600 3938928400 326940648320 27136061405680 2252292250982400 186940254478381520 15516041182485219200 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.429548098762821], "center_dim": 2, "cohen_macaulay_max": 1, "curve_count": 80, "curve_counts": [80, 7040, 572720, 47449600, 3938928400, 326940648320, 27136061405680, 2252292250982400, 186940254478381520, 15516041182485219200], "curve_counts_str": "80 7040 572720 47449600 3938928400 326940648320 27136061405680 2252292250982400 186940254478381520 15516041182485219200 ", "curves": ["y^2=x^3+7*x+14", "y^2=x^3+51*x+51", "y^2=x^3+59*x+59", "y^2=x^3+38*x+38", "y^2=x^3+34*x+68", "y^2=x^3+53*x+23", "y^2=x^3+62*x+62", "y^2=x^3+72*x+61", "y^2=x^3+55*x+27", "y^2=x^3+24*x+24"], "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": ["2.0.79.1"], "geometric_splitting_field": "2.0.79.1", "geometric_splitting_polynomials": [[20, -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": 10, "label": "1.83.ae", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "number_fields": ["2.0.79.1"], "p": 83, "p_rank": 1, "p_rank_deficit": 0, "pic_prime_gens": [[1, 5, 1, 5]], "poly": [1, -4, 83], "poly_str": "1 -4 83 ", "primitive_models": [], "principal_polarization_count": 10, "q": 83, "real_poly": [1, -4], "simple_distinct": ["1.83.ae"], "simple_factors": ["1.83.aeA"], "simple_multiplicities": [1], "singular_primes": ["2,F-1"], "size": 10, "slopes": ["0A", "1A"], "splitting_field": "2.0.79.1", "splitting_polynomials": [[20, -1, 1]], "twist_count": 2, "twists": [["1.83.e", "1.6889.fu", 2]], "weak_equivalence_count": 2, "zfv_index": 2, "zfv_index_factorization": [[2, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 5, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 316, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F-1"]}