# Stored data for abelian variety isogeny class 2.83.a_gj, downloaded from the LMFDB on 11 September 2025.
{"abvar_count": 7055, "abvar_counts": [7055, 49773025, 326941455440, 2251016163765625, 15516041193925825775, 106890715285225505593600, 736365263311675496304048935, 5072819911986794967346197515625, 34946659039493167596475523748963920, 240747534331603164974739452515654350625], "abvar_counts_str": "7055 49773025 326941455440 2251016163765625 15516041193925825775 106890715285225505593600 736365263311675496304048935 5072819911986794967346197515625 34946659039493167596475523748963920 240747534331603164974739452515654350625 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.482521693697985, 0.517478306302015], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 84, "curve_counts": [84, 7220, 571788, 47431428, 3939040644, 326942537510, 27136050989628, 2252292060328708, 186940255267540404, 15516041200645798100], "curve_counts_str": "84 7220 571788 47431428 3939040644 326942537510 27136050989628 2252292060328708 186940255267540404 15516041200645798100 ", "curves": ["y^2=53*x^6+24*x^5+82*x^4+43*x^3+19*x^2+32*x+13", "y^2=23*x^6+48*x^5+81*x^4+3*x^3+38*x^2+64*x+26", "y^2=8*x^6+2*x^5+48*x^4+40*x^3+7*x^2+20*x+67", "y^2=16*x^6+4*x^5+13*x^4+80*x^3+14*x^2+40*x+51", "y^2=24*x^6+35*x^5+20*x^4+62*x^3+66*x^2+45*x+71", "y^2=48*x^6+70*x^5+40*x^4+41*x^3+49*x^2+7*x+59", "y^2=3*x^6+5*x^5+65*x^4+54*x^3+77*x^2+19*x+37", "y^2=6*x^6+10*x^5+47*x^4+25*x^3+71*x^2+38*x+74", "y^2=82*x^6+27*x^5+82*x^4+8*x^3+50*x^2+21*x+2", "y^2=81*x^6+54*x^5+81*x^4+16*x^3+17*x^2+42*x+4", "y^2=24*x^6+3*x^5+69*x^4+38*x^3+69*x^2+3*x+24", "y^2=48*x^6+6*x^5+55*x^4+76*x^3+55*x^2+6*x+48", "y^2=79*x^6+54*x^5+51*x^4+65*x^3+38*x^2+34*x+76", "y^2=75*x^6+25*x^5+19*x^4+47*x^3+76*x^2+68*x+69", "y^2=32*x^6+11*x^5+9*x^4+13*x^3+75*x^2+63*x+71", "y^2=64*x^6+22*x^5+18*x^4+26*x^3+67*x^2+43*x+59", "y^2=76*x^6+2*x^5+59*x^4+56*x^3+4*x^2+60*x+35", "y^2=69*x^6+4*x^5+35*x^4+29*x^3+8*x^2+37*x+70", "y^2=21*x^6+46*x^5+47*x^4+65*x^3+18*x^2+53*x+70", "y^2=42*x^6+9*x^5+11*x^4+47*x^3+36*x^2+23*x+57", "y^2=73*x^6+29*x^5+3*x^4+50*x^3+10*x^2+64*x+60", "y^2=63*x^6+58*x^5+6*x^4+17*x^3+20*x^2+45*x+37", "y^2=43*x^6+73*x^5+29*x^4+56*x^3+70*x^2+35*x+46", "y^2=3*x^6+63*x^5+58*x^4+29*x^3+57*x^2+70*x+9"], "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": 2, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 1, "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": 2, "geometric_extension_degree": 2, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.331.1"], "geometric_splitting_field": "2.0.331.1", "geometric_splitting_polynomials": [[83, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 24, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 24, "label": "2.83.a_gj", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.331.1", "2.0.331.1"], "p": 83, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 5, 1, 9], [2, 5, 1, 9]], "poly": [1, 0, 165, 0, 6889], "poly_str": "1 0 165 0 6889 ", "primitive_models": [], "principal_polarization_count": 36, "q": 83, "real_poly": [1, 0, -1], "simple_distinct": ["1.83.ab", "1.83.b"], "simple_factors": ["1.83.abA", "1.83.bA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,5*F-V-7"], "size": 36, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.331.1", "splitting_polynomials": [[83, -1, 1]], "twist_count": 6, "twists": [["2.83.ac_gl", "2.6889.ms_cirb", 2], ["2.83.c_gl", "2.6889.ms_cirb", 2], ["2.83.a_agj", "2.47458321.abnuk_xfkjdb", 4], ["2.83.ab_ade", "2.326940373369.etdke_itezfthyc", 6], ["2.83.b_ade", "2.326940373369.etdke_itezfthyc", 6]], "weak_equivalence_count": 2, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 27, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 109561, "zfv_singular_count": 2, "zfv_singular_primes": ["2,5*F-V-7"]}