# Stored data for abelian variety isogeny class 1.83.m, downloaded from the LMFDB on 16 August 2026.
{"abvar_count": 96, "abvar_counts": [96, 6912, 570528, 47471616, 3938985696, 326939929344, 27136060878624, 2252292150325248, 186940255428519264, 15516041192064652032], "abvar_counts_str": "96 6912 570528 47471616 3938985696 326939929344 27136060878624 2252292150325248 186940255428519264 15516041192064652032 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.72884493646906], "center_dim": 2, "cohen_macaulay_max": 1, "curve_count": 96, "curve_counts": [96, 6912, 570528, 47471616, 3938985696, 326939929344, 27136060878624, 2252292150325248, 186940255428519264, 15516041192064652032], "curve_counts_str": "96 6912 570528 47471616 3938985696 326939929344 27136060878624 2252292150325248 186940255428519264 15516041192064652032 ", "curves": ["y^2=x^3+31*x+62", "y^2=x^3+74*x+65", "y^2=x^3+54*x+54", "y^2=x^3+30*x+30", "y^2=x^3+59*x+35", "y^2=x^3+29*x+58", "y^2=x^3+46*x+9", "y^2=x^3+62*x+41", "y^2=x^3+41*x+82", "y^2=x^3+45*x+45"], "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": ["2.0.47.1"], "geometric_splitting_field": "2.0.47.1", "geometric_splitting_polynomials": [[12, -1, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": false, "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.m", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.47.1"], "p": 83, "p_rank": 1, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 5]], "poly": [1, 12, 83], "poly_str": "1 12 83 ", "primitive_models": [], "principal_polarization_count": 10, "q": 83, "real_poly": [1, 12], "simple_distinct": ["1.83.m"], "simple_factors": ["1.83.mA"], "simple_multiplicities": [1], "singular_primes": ["2,F-1"], "size": 10, "slopes": ["0A", "1A"], "splitting_field": "2.0.47.1", "splitting_polynomials": [[12, -1, 1]], "twist_count": 2, "twists": [["1.83.am", "1.6889.w", 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": 188, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F-1"]}