# Stored data for abelian variety isogeny class 2.167.abu_bgz, downloaded from the LMFDB on 18 January 2026.
{"abvar_count": 21019, "abvar_counts": [21019, 766668025, 21682109682052, 604971287016069625, 16871961020557309209379, 470541243051392779479024400, 13122923387031319739447695671523, 365985211995284148728236897709603625, 10206961592479504287709964230472693159428, 284661951900532425261718028783037596937627625], "abvar_counts_str": "21019 766668025 21682109682052 604971287016069625 16871961020557309209379 470541243051392779479024400 13122923387031319739447695671523 365985211995284148728236897709603625 10206961592479504287709964230472693159428 284661951900532425261718028783037596937627625 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.0558069158018705, 0.207406191074667], "center_dim": 4, "curve_count": 122, "curve_counts": [122, 27488, 4655348, 777801684, 129892240402, 21691963677926, 3622557564190750, 604967115954496036, 101029508514287983916, 16871927924723441268368], "curve_counts_str": "122 27488 4655348 777801684 129892240402 21691963677926 3622557564190750 604967115954496036 101029508514287983916 16871927924723441268368 ", "curves": ["y^2=86*x^6+9*x^5+9*x^4+79*x^3+46*x^2+107*x+33", "y^2=16*x^6+89*x^5+141*x^4+78*x^3+158*x^2+162*x+43", "y^2=8*x^6+131*x^5+4*x^4+131*x^3+121*x^2+118*x+163", "y^2=67*x^6+7*x^5+163*x^4+33*x^3+151*x^2+92*x+153", "y^2=51*x^6+45*x^5+61*x^4+14*x^3+139*x^2+69*x+101", "y^2=81*x^6+3*x^5+59*x^4+120*x^3+150*x^2+109*x+76", "y^2=145*x^6+163*x^5+63*x^4+89*x^3+31*x^2+83*x+3", "y^2=35*x^6+148*x^5+41*x^4+123*x^3+155*x^2+117*x+151"], "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, "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": ["4.0.2875968.2"], "geometric_splitting_field": "4.0.2875968.2", "geometric_splitting_polynomials": [[361, 74, 65, -2, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 8, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 8, "label": "2.167.abu_bgz", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.2875968.2"], "p": 167, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -46, 857, -7682, 27889], "poly_str": "1 -46 857 -7682 27889 ", "primitive_models": [], "q": 167, "real_poly": [1, -46, 523], "simple_distinct": ["2.167.abu_bgz"], "simple_factors": ["2.167.abu_bgzA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.2875968.2", "splitting_polynomials": [[361, 74, 65, -2, 1]], "twist_count": 2, "twists": [["2.167.bu_bgz", "2.27889.apm_etmx", 2]]}