# Stored data for abelian variety isogeny class 1.83.q, downloaded from the LMFDB on 06 December 2025.
{"abvar_count": 100, "abvar_counts": [100, 6800, 571900, 47464000, 3938940500, 326941504400, 27136041205100, 2252292294816000, 186940255076824900, 15516041185055114000], "abvar_counts_str": "100 6800 571900 47464000 3938940500 326941504400 27136041205100 2252292294816000 186940255076824900 15516041185055114000 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.841198311972968], "center_dim": 2, "cohen_macaulay_max": 1, "curve_count": 100, "curve_counts": [100, 6800, 571900, 47464000, 3938940500, 326941504400, 27136041205100, 2252292294816000, 186940255076824900, 15516041185055114000], "curve_counts_str": "100 6800 571900 47464000 3938940500 326941504400 27136041205100 2252292294816000 186940255076824900 15516041185055114000 ", "curves": ["y^2=x^3+57*x+31", "y^2=x^3+75*x+75", "y^2=x^3+8*x+16", "y^2=x^3+17*x+34"], "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": ["2.0.19.1"], "geometric_splitting_field": "2.0.19.1", "geometric_splitting_polynomials": [[5, -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": 4, "label": "1.83.q", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.19.1"], "p": 83, "p_rank": 1, "p_rank_deficit": 0, "poly": [1, 16, 83], "poly_str": "1 16 83 ", "primitive_models": [], "principal_polarization_count": 4, "q": 83, "real_poly": [1, 16], "simple_distinct": ["1.83.q"], "simple_factors": ["1.83.qA"], "simple_multiplicities": [1], "singular_primes": ["2,F-3"], "size": 4, "slopes": ["0A", "1A"], "splitting_field": "2.0.19.1", "splitting_polynomials": [[5, -1, 1]], "twist_count": 2, "twists": [["1.83.aq", "1.6889.adm", 2]], "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": 76, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F-3"]}