# Stored data for abelian variety isogeny class 2.83.abd_ob, downloaded from the LMFDB on 28 October 2025.
{"abvar_count": 4819, "abvar_counts": [4819, 46700929, 327022693909, 2252409576442861, 15515849740694096464, 106889615912389102305601, 736364936010853492417512049, 5072820194517998500391546374389, 34946659134434441428008093278088991, 240747534291837328195923038682528481024], "abvar_counts_str": "4819 46700929 327022693909 2252409576442861 15515849740694096464 106889615912389102305601 736364936010853492417512049 5072820194517998500391546374389 34946659134434441428008093278088991 240747534291837328195923038682528481024 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.0639743454556791, 0.290481692689196], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 55, "curve_counts": [55, 6779, 571933, 47460795, 3938992040, 326939174903, 27136038928151, 2252292185770339, 186940255775410009, 15516041198082912614], "curve_counts_str": "55 6779 571933 47460795 3938992040 326939174903 27136038928151 2252292185770339 186940255775410009 15516041198082912614 ", "curves": ["y^2=80*x^6+25*x^5+68*x^4+65*x^3+9*x^2+13*x+51", "y^2=15*x^6+82*x^5+31*x^4+59*x^3+45*x^2+7*x+81", "y^2=79*x^6+43*x^5+35*x^4+29*x^3+28*x^2+60*x+46", "y^2=32*x^6+25*x^5+42*x^4+26*x^3+54*x^2+44*x+74", "y^2=64*x^6+28*x^5+16*x^4+63*x^3+62*x^2+53*x+10", "y^2=64*x^6+56*x^5+46*x^4+x^3+19*x^2+12*x+70", "y^2=x^6+78*x^5+46*x^4+36*x^2+11*x+48", "y^2=71*x^6+20*x^5+71*x^4+41*x^3+49*x^2+35*x+15", "y^2=75*x^6+55*x^5+13*x^4+57*x^3+8*x^2+7*x+79", "y^2=72*x^6+13*x^5+11*x^4+82*x^3+66*x^2+57*x+5", "y^2=66*x^6+26*x^5+80*x^4+17*x^3+49*x^2+40*x+60", "y^2=82*x^6+44*x^5+20*x^4+80*x^3+74*x^2+35*x+3", "y^2=45*x^6+4*x^5+72*x^4+55*x^3+9*x^2+73*x+68", "y^2=5*x^6+28*x^5+76*x^4+43*x^3+5*x^2+73*x+71", "y^2=22*x^6+28*x^5+38*x^4+79*x^3+50*x^2+35*x+46"], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 1, "dim2_factors": 1, "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": ["4T3"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 1, "geom_dim2_factors": 1, "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": ["4T3"], "geometric_number_fields": ["4.0.68725.1"], "geometric_splitting_field": "4.0.68725.1", "geometric_splitting_polynomials": [[179, -29, 30, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 15, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 15, "label": "2.83.abd_ob", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.68725.1"], "p": 83, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -29, 365, -2407, 6889], "poly_str": "1 -29 365 -2407 6889 ", "primitive_models": [], "q": 83, "real_poly": [1, -29, 199], "simple_distinct": ["2.83.abd_ob"], "simple_factors": ["2.83.abd_obA"], "simple_multiplicities": [1], "singular_primes": ["3,6*F^2-58*F-13*V+373"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.68725.1", "splitting_polynomials": [[179, -29, 30, -2, 1]], "twist_count": 2, "twists": [["2.83.bd_ob", "2.6889.aeh_kyn", 2]], "weak_equivalence_count": 2, "zfv_index": 9, "zfv_index_factorization": [[3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 3, "zfv_plus_index_factorization": [[3, 1]], "zfv_plus_norm": 2749, "zfv_singular_count": 2, "zfv_singular_primes": ["3,6*F^2-58*F-13*V+373"]}