# Stored data for abelian variety isogeny class 2.8.a_ai, downloaded from the LMFDB on 26 September 2025.
{"abvar_count": 57, "abvar_counts": [57, 3249, 263169, 17313921, 1073709057, 69257922561, 4398044413953, 281612466003969, 18014398777917441, 1152851139083829249], "abvar_counts_str": "57 3249 263169 17313921 1073709057 69257922561 4398044413953 281612466003969 18014398777917441 1152851139083829249 ", "angle_corank": 2, "angle_rank": 0, "angles": [0.166666666666667, 0.833333333333333], "center_dim": 4, "curve_count": 9, "curve_counts": [9, 49, 513, 4225, 32769, 264193, 2097153, 16785409, 134217729, 1073676289], "curve_counts_str": "9 49 513 4225 32769 264193 2097153 16785409 134217729 1073676289 ", "curves": [], "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": ["4T2"], "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": 1, "geometric_extension_degree": 6, "geometric_galois_groups": ["1T1"], "geometric_number_fields": ["1.1.1.1"], "geometric_splitting_field": "1.1.1.1", "geometric_splitting_polynomials": [[0, 1]], "has_geom_ss_factor": true, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": true, "jacobian_count": 0, "label": "2.8.a_ai", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 24, "newton_coelevation": 0, "newton_elevation": 2, "number_fields": ["4.0.576.1"], "p": 2, "p_rank": 0, "p_rank_deficit": 2, "poly": [1, 0, -8, 0, 64], "poly_str": "1 0 -8 0 64 ", "primitive_models": [], "q": 8, "real_poly": [1, 0, -24], "simple_distinct": ["2.8.a_ai"], "simple_factors": ["2.8.a_aiA"], "simple_multiplicities": [1], "slopes": ["1/2A", "1/2B", "1/2C", "1/2D"], "splitting_field": "4.0.576.1", "splitting_polynomials": [[4, 0, -2, 0, 1]], "twist_count": 11, "twists": [["2.8.a_q", "2.512.a_bnk", 3], ["2.8.a_i", "2.4096.ey_seq", 4], ["2.8.ae_i", "2.16777216.mdc_egdrcq", 8], ["2.8.e_i", "2.16777216.mdc_egdrcq", 8], ["2.8.a_aq", "2.68719476736.achrdw_bzisumabg", 12], ["2.8.ai_bg", "2.4722366482869645213696.abifvezise_qxfubocgvvskgrpg", 24], ["2.8.ae_q", "2.4722366482869645213696.abifvezise_qxfubocgvvskgrpg", 24], ["2.8.a_a", "2.4722366482869645213696.abifvezise_qxfubocgvvskgrpg", 24], ["2.8.e_q", "2.4722366482869645213696.abifvezise_qxfubocgvvskgrpg", 24], ["2.8.i_bg", "2.4722366482869645213696.abifvezise_qxfubocgvvskgrpg", 24]]}