# Stored data for abelian variety isogeny class 2.8.b_q, downloaded from the LMFDB on 12 September 2026.
{"abvar_count": 90, "abvar_counts": [90, 6480, 251370, 15876000, 1083015450, 69118706160, 4392298214730, 281317163400000, 18017507394738810, 1152977459634752400], "abvar_counts_str": "90 6480 251370 15876000 1083015450 69118706160 4392298214730 281317163400000 18017507394738810 1152977459634752400 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.5, 0.556567041128661], "center_dim": 4, "curve_count": 10, "curve_counts": [10, 96, 490, 3872, 33050, 263664, 2094410, 16767808, 134240890, 1073793936], "curve_counts_str": "10 96 490 3872 33050 263664 2094410 16767808 134240890 1073793936 ", "curves": [], "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": 3, "geometric_extension_degree": 2, "geometric_galois_groups": ["1T1", "2T1"], "geometric_number_fields": ["1.1.1.1", "2.0.31.1"], "geometric_splitting_field": "2.0.31.1", "geometric_splitting_polynomials": [[8, -1, 1]], "has_geom_ss_factor": true, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "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": 0, "label": "2.8.b_q", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 8, "newton_coelevation": 1, "newton_elevation": 1, "noncyclic_primes": [], "number_fields": ["2.0.8.1", "2.0.31.1"], "p": 2, "p_rank": 1, "p_rank_deficit": 1, "poly": [1, 1, 16, 8, 64], "poly_str": "1 1 16 8 64 ", "primitive_models": [], "q": 8, "real_poly": [1, 1], "simple_distinct": ["1.8.a", "1.8.b"], "simple_factors": ["1.8.aA", "1.8.bA"], "simple_multiplicities": [1, 1], "slopes": ["0A", "1/2A", "1/2B", "1A"], "splitting_field": "4.0.61504.2", "splitting_polynomials": [[38, -20, 21, -2, 1]], "twist_count": 6, "twists": [["2.8.ab_q", "2.64.bf_oe", 2], ["2.8.af_u", "2.16777216.anxx_drgits", 8], ["2.8.ad_m", "2.16777216.anxx_drgits", 8], ["2.8.d_m", "2.16777216.anxx_drgits", 8], ["2.8.f_u", "2.16777216.anxx_drgits", 8]]}