# Stored data for abelian variety isogeny class 2.167.abv_bia, downloaded from the LMFDB on 18 January 2026.
{"abvar_count": 20878, "abvar_counts": [20878, 765596260, 21679273505032, 604970520413802400, 16871988296638429789978, 470541390522486580165760320, 13122923891502762273117058382362, 365985213311097063919261821983760000, 10206961595164021387947291509682754207528, 284661951904494059049240292382568145097215300], "abvar_counts_str": "20878 765596260 21679273505032 604970520413802400 16871988296638429789978 470541390522486580165760320 13122923891502762273117058382362 365985213311097063919261821983760000 10206961595164021387947291509682754207528 284661951904494059049240292382568145097215300 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.0816525061160389, 0.175872025743548], "center_dim": 4, "curve_count": 121, "curve_counts": [121, 27449, 4654738, 777800697, 129892450391, 21691970476346, 3622557703449113, 604967118129511633, 101029508540859597886, 16871927924958247498289], "curve_counts_str": "121 27449 4654738 777800697 129892450391 21691970476346 3622557703449113 604967118129511633 101029508540859597886 16871927924958247498289 ", "curves": ["y^2=86*x^6+13*x^5+68*x^4+130*x^3+18*x^2+64*x+141", "y^2=114*x^6+158*x^5+53*x^4+23*x^3+120*x^2+50*x+146", "y^2=116*x^6+76*x^5+56*x^4+151*x^3+140*x^2+107*x+139", "y^2=139*x^6+55*x^5+164*x^4+118*x^3+x^2+74*x+29", "y^2=53*x^6+97*x^5+8*x^4+115*x^3+131*x^2+109*x+91", "y^2=59*x^6+9*x^5+42*x^4+107*x^3+20*x^2+71*x+23", "y^2=149*x^6+77*x^5+108*x^4+31*x^3+13*x^2+161*x+147", "y^2=26*x^6+120*x^5+124*x^4+132*x^3+20*x^2+64*x+46"], "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, "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": ["2.0.43.1", "2.0.184.1"], "geometric_splitting_field": "4.0.62599744.2", "geometric_splitting_polynomials": [[1271, -114, 115, -2, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 8, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 8, "label": "2.167.abv_bia", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["2.0.43.1", "2.0.184.1"], "p": 167, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -47, 884, -7849, 27889], "poly_str": "1 -47 884 -7849 27889 ", "primitive_models": [], "q": 167, "real_poly": [1, -47, 550], "simple_distinct": ["1.167.az", "1.167.aw"], "simple_factors": ["1.167.azA", "1.167.awA"], "simple_multiplicities": [1, 1], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.62599744.2", "splitting_polynomials": [[1271, -114, 115, -2, 1]], "twist_count": 4, "twists": [["2.167.ad_aii", "2.27889.aqz_frce", 2], ["2.167.d_aii", "2.27889.aqz_frce", 2], ["2.167.bv_bia", "2.27889.aqz_frce", 2]]}