# Stored data for abelian variety isogeny class 2.83.abe_os, downloaded from the LMFDB on 28 October 2025.
{"abvar_count": 4752, "abvar_counts": [4752, 46531584, 326888355024, 2252392220491776, 15515905884131066832, 106889640601270309364736, 736364864467960391709598608, 5072820046643653293152232013824, 34946658982361139394612697228092176, 240747534196967409795215523846021325824], "abvar_counts_str": "4752 46531584 326888355024 2252392220491776 15515905884131066832 106889640601270309364736 736364864467960391709598608 5072820046643653293152232013824 34946658982361139394612697228092176 240747534196967409795215523846021325824 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.0496118990883417, 0.27115506353094], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 54, "curve_counts": [54, 6754, 571698, 47460430, 3939006294, 326939250418, 27136036291698, 2252292120115294, 186940254961923894, 15516041191968600514], "curve_counts_str": "54 6754 571698 47460430 3939006294 326939250418 27136036291698 2252292120115294 186940254961923894 15516041191968600514 ", "curves": ["y^2=82*x^6+49*x^5+63*x^4+23*x^3+63*x^2+49*x+82", "y^2=82*x^6+11*x^5+20*x^4+55*x^3+25*x^2+22*x+34", "y^2=18*x^6+82*x^5+57*x^4+79*x^3+57*x^2+82*x+18", "y^2=46*x^6+29*x^5+33*x^4+79*x^3+40*x^2+75*x+5", "y^2=51*x^6+49*x^5+44*x^4+65*x^3+78*x^2+54*x+73", "y^2=27*x^6+20*x^5+9*x^4+48*x^3+79*x^2+33*x+46", "y^2=39*x^6+13*x^5+72*x^4+42*x^3+72*x^2+13*x+39", "y^2=69*x^6+21*x^5+69*x^4+36*x^3+58*x^2+24*x+74", "y^2=73*x^6+46*x^5+63*x^4+15*x^3+58*x^2+81*x+35", "y^2=70*x^6+19*x^5+5*x^4+16*x^3+39*x^2+67*x+12", "y^2=36*x^6+67*x^5+66*x^4+62*x^3+65*x^2+8*x+28", "y^2=36*x^6+24*x^5+18*x^4+12*x^3+48*x^2+36*x+11", "y^2=5*x^6+49*x^5+36*x^4+57*x^3+36*x^2+49*x+5", "y^2=73*x^6+38*x^5+51*x^4+20*x^3+53*x^2+11*x+82", "y^2=16*x^6+79*x^5+56*x^4+4*x^3+74*x^2+18*x+59", "y^2=24*x^6+54*x^5+62*x^4+57*x^3+59*x^2+55*x+57", "y^2=19*x^6+28*x^5+2*x^4+8*x^3+9*x^2+58*x+60", "y^2=13*x^6+82*x^5+61*x^4+40*x^3+65*x^2+35*x+5", "y^2=40*x^6+74*x^5+44*x^4+81*x^3+3*x^2+80*x+16", "y^2=60*x^6+x^5+5*x^4+65*x^3+38*x^2+18*x+13", "y^2=29*x^6+27*x^5+51*x^4+59*x^3+43*x^2+35*x+31", "y^2=28*x^6+39*x^5+6*x^4+20*x^3+10*x^2+8*x+67", "y^2=79*x^6+58*x^5+29*x^4+72*x^3+29*x^2+58*x+79", "y^2=55*x^6+54*x^5+39*x^4+82*x^3+75*x^2+76*x+34", "y^2=18*x^6+56*x^5+64*x^4+80*x^3+24*x^2+41*x+42", "y^2=39*x^6+59*x^5+29*x^4+46*x^3+36*x^2+18*x+74", "y^2=35*x^6+12*x^5+77*x^4+73*x^3+28*x^2+49*x+62", "y^2=79*x^6+37*x^5+4*x^4+45*x^3+76*x^2+74*x+22", "y^2=78*x^6+30*x^5+9*x^4+9*x^3+15*x^2+79*x+52", "y^2=67*x^6+10*x^5+79*x^4+44*x^3+28*x^2+51*x+24"], "dim1_distinct": 2, "dim1_factors": 2, "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": 24, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "geom_dim1_factors": 2, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.8.1", "2.0.47.1"], "geometric_splitting_field": "4.0.141376.1", "geometric_splitting_polynomials": [[102, -28, 29, -2, 1]], "group_structure_count": 8, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 30, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 30, "label": "2.83.abe_os", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.8.1", "2.0.47.1"], "p": 83, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -30, 382, -2490, 6889], "poly_str": "1 -30 382 -2490 6889 ", "primitive_models": [], "q": 83, "real_poly": [1, -30, 216], "simple_distinct": ["1.83.as", "1.83.am"], "simple_factors": ["1.83.asA", "1.83.amA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,V-19", "3,-10*F-1", "3,-2*V+10"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.141376.1", "splitting_polynomials": [[102, -28, 29, -2, 1]], "twist_count": 4, "twists": [["2.83.ag_aby", "2.6889.afg_pgg", 2], ["2.83.g_aby", "2.6889.afg_pgg", 2], ["2.83.be_os", "2.6889.afg_pgg", 2]], "weak_equivalence_count": 28, "zfv_index": 72, "zfv_index_factorization": [[2, 3], [3, 2]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 1504, "zfv_singular_count": 6, "zfv_singular_primes": ["2,V-19", "3,-10*F-1", "3,-2*V+10"]}