# Stored data for abelian variety isogeny class 2.83.be_pb, downloaded from the LMFDB on 24 October 2025.
{"abvar_count": 9801, "abvar_counts": [9801, 46662561, 326529959184, 2253269789767161, 15515059798626412761, 106890670758419443374336, 736364999012819126694386049, 5072820248900876298544704875625, 34946659252931815706584285761524496, 240747533885956964146479803383446900321], "abvar_counts_str": "9801 46662561 326529959184 2253269789767161 15515059798626412761 106890670758419443374336 736364999012819126694386049 5072820248900876298544704875625 34946659252931815706584285761524496 240747533885956964146479803383446900321 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.807831363317628, 0.807831363317628], "center_dim": 2, "curve_count": 114, "curve_counts": [114, 6772, 571068, 47478916, 3938791494, 326942401318, 27136041249858, 2252292209915908, 186940256409288324, 15516041171924154772], "curve_counts_str": "114 6772 571068 47478916 3938791494 326942401318 27136041249858 2252292209915908 186940256409288324 15516041171924154772 ", "curves": ["y^2=73*x^6+60*x^5+62*x^4+8*x^3+62*x^2+60*x+73", "y^2=x^6+76*x^5+19*x^4+19*x^2+76*x+1", "y^2=9*x^6+26*x^5+48*x^4+60*x^3+42*x+48", "y^2=30*x^6+32*x^5+34*x^4+23*x^3+47*x^2+60*x+21", "y^2=2*x^6+4*x^5+13*x^4+49*x^3+78*x^2+26*x+11", "y^2=30*x^6+26*x^5+4*x^4+15*x^3+4*x^2+26*x+30", "y^2=63*x^6+52*x^5+59*x^4+25*x^3+59*x^2+52*x+63", "y^2=15*x^6+81*x^5+72*x^4+45*x^3+72*x^2+81*x+15", "y^2=31*x^6+34*x^5+16*x^4+39*x^3+16*x^2+34*x+31", "y^2=73*x^6+29*x^5+67*x^4+35*x^3+21*x^2+16*x+44", "y^2=25*x^6+48*x^5+57*x^4+63*x^3+46*x^2+81*x+75", "y^2=26*x^6+43*x^5+14*x^4+46*x^3+14*x^2+43*x+26", "y^2=69*x^6+72*x^5+39*x^4+40*x^3+45*x^2+5*x+59", "y^2=72*x^6+75*x^5+64*x^4+52*x^3+58*x^2+58*x+75", "y^2=70*x^6+24*x^5+43*x^4+61*x^3+26*x^2+6*x+75", "y^2=48*x^6+79*x^5+58*x^4+60*x^3+81*x^2+27*x+60", "y^2=32*x^6+57*x^5+61*x^4+78*x^3+61*x^2+57*x+32", "y^2=38*x^6+82*x^5+63*x^4+8*x^3+63*x^2+82*x+38"], "dim1_distinct": 1, "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, "g": 2, "galois_groups": ["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": 1, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.107.1"], "geometric_splitting_field": "2.0.107.1", "geometric_splitting_polynomials": [[27, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 18, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 18, "label": "2.83.be_pb", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.107.1"], "p": 83, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 30, 391, 2490, 6889], "poly_str": "1 30 391 2490 6889 ", "primitive_models": [], "q": 83, "real_poly": [1, 30, 225], "simple_distinct": ["1.83.p"], "simple_factors": ["1.83.pA", "1.83.pB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.107.1", "splitting_polynomials": [[27, -1, 1]], "twist_count": 6, "twists": [["2.83.abe_pb", "2.6889.aeo_znv", 2], ["2.83.a_ach", "2.6889.aeo_znv", 2], ["2.83.ap_fm", "2.571787.abbs_culkg", 3], ["2.83.a_ch", "2.47458321.bemc_qxsxsd", 4], ["2.83.p_fm", "2.326940373369.eljya_ibkydaqdy", 6]]}