# Stored data for abelian variety isogeny class 2.167.abu_bgx, downloaded from the LMFDB on 18 January 2026.
{"abvar_count": 21017, "abvar_counts": [21017, 766553041, 21680822113136, 604963446088901561, 16871926902961694800177, 470541124571786458292300032, 13122923039623483713424889553521, 365985211103566801142167148590382633, 10206961590409814408734781012246262586352, 284661951896002462514880884256016939880586241], "abvar_counts_str": "21017 766553041 21680822113136 604963446088901561 16871926902961694800177 470541124571786458292300032 13122923039623483713424889553521 365985211103566801142167148590382633 10206961590409814408734781012246262586352 284661951896002462514880884256016939880586241 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.011636618604373, 0.214984126312513], "center_dim": 4, "curve_count": 122, "curve_counts": [122, 27484, 4655072, 777791604, 129891977742, 21691958216014, 3622557468289490, 604967114480502948, 101029508493801990176, 16871927924454950153004], "curve_counts_str": "122 27484 4655072 777791604 129891977742 21691958216014 3622557468289490 604967114480502948 101029508493801990176 16871927924454950153004 ", "curves": ["y^2=117*x^6+116*x^5+73*x^4+24*x^3+82*x^2+165*x+79", "y^2=83*x^6+34*x^5+74*x^4+6*x^3+68*x^2+58*x+31", "y^2=32*x^6+165*x^5+44*x^4+120*x^3+60*x^2+24*x+11"], "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": ["4.0.14912.2"], "geometric_splitting_field": "4.0.14912.2", "geometric_splitting_polynomials": [[17, -10, 11, -2, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 3, "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": 3, "label": "2.167.abu_bgx", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.14912.2"], "p": 167, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -46, 855, -7682, 27889], "poly_str": "1 -46 855 -7682 27889 ", "primitive_models": [], "q": 167, "real_poly": [1, -46, 521], "simple_distinct": ["2.167.abu_bgx"], "simple_factors": ["2.167.abu_bgxA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.14912.2", "splitting_polynomials": [[17, -10, 11, -2, 1]], "twist_count": 2, "twists": [["2.167.bu_bgx", "2.27889.apq_eolf", 2]]}