# Stored data for abelian variety isogeny class 1.83.g, downloaded from the LMFDB on 11 March 2026.
{"abvar_count": 90, "abvar_counts": [90, 7020, 570510, 47455200, 3939165450, 326939883660, 27136043568990, 2252292317308800, 186940255372434810, 15516041179507397100], "abvar_counts_str": "90 7020 570510 47455200 3939165450 326939883660 27136043568990 2252292317308800 186940255372434810 15516041179507397100 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.606810309696911], "center_dim": 2, "cohen_macaulay_max": 1, "curve_count": 90, "curve_counts": [90, 7020, 570510, 47455200, 3939165450, 326939883660, 27136043568990, 2252292317308800, 186940255372434810, 15516041179507397100], "curve_counts_str": "90 7020 570510 47455200 3939165450 326939883660 27136043568990 2252292317308800 186940255372434810 15516041179507397100 ", "curves": ["y^2=x^3+39*x+39", "y^2=x^3+6*x+12", "y^2=x^3+10*x+20", "y^2=x^3+42*x+42", "y^2=x^3+8*x+8", "y^2=x^3+36*x+72", "y^2=x^3+55*x+55", "y^2=x^3+42*x+1", "y^2=x^3+65*x+47", "y^2=x^3+x+1"], "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": ["2.0.296.1"], "geometric_splitting_field": "2.0.296.1", "geometric_splitting_polynomials": [[74, 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": 10, "label": "1.83.g", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["2.0.296.1"], "p": 83, "p_rank": 1, "p_rank_deficit": 0, "poly": [1, 6, 83], "poly_str": "1 6 83 ", "primitive_models": [], "principal_polarization_count": 10, "q": 83, "real_poly": [1, 6], "simple_distinct": ["1.83.g"], "simple_factors": ["1.83.gA"], "simple_multiplicities": [1], "singular_primes": [], "size": 10, "slopes": ["0A", "1A"], "splitting_field": "2.0.296.1", "splitting_polynomials": [[74, 0, 1]], "twist_count": 2, "twists": [["1.83.ag", "1.6889.fa", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 296, "zfv_singular_count": 0, "zfv_singular_primes": []}