# Stored data for abelian variety isogeny class 2.79.aj_gw, downloaded from the LMFDB on 27 July 2026.
{"abvar_count": 5700, "abvar_counts": [5700, 40698000, 244047848400, 1516606900200000, 9467628874854253500, 59091527343300453792000, 368790441969305935847513100, 2301619246799677559875159200000, 14364404940498582089034989562718800, 89648251883529539063140717941699450000], "abvar_counts_str": "5700 40698000 244047848400 1516606900200000 9467628874854253500 59091527343300453792000 368790441969305935847513100 2301619246799677559875159200000 14364404940498582089034989562718800 89648251883529539063140717941699450000 ", "all_polarized_product": true, "all_unpolarized_product": true, "angle_corank": 0, "angle_rank": 2, "angles": [0.409243695363339, 0.427756044762095], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 71, "curve_counts": [71, 6517, 494984, 38937193, 3076846061, 243087522622, 19203925733819, 1517108879580913, 119851594989037976, 9468276072771404077], "curve_counts_str": "71 6517 494984 38937193 3076846061 243087522622 19203925733819 1517108879580913 119851594989037976 9468276072771404077 ", "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, "endomorphism_ring_count": 4, "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": ["2.0.291.1", "2.0.3.1"], "geometric_splitting_field": "4.0.84681.1", "geometric_splitting_polynomials": [[576, 24, 25, -1, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 0, "label": "2.79.aj_gw", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.291.1", "2.0.3.1"], "p": 79, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 2], [2, 3, 1, 2], [1, 5, 1, 4], [2, 7, 1, 6]], "poly": [1, -9, 178, -711, 6241], "poly_str": "1 -9 178 -711 6241 ", "primitive_models": [], "principal_polarization_count": 40, "q": 79, "real_poly": [1, -9, 20], "simple_distinct": ["1.79.af", "1.79.ae"], "simple_factors": ["1.79.afA", "1.79.aeA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,-2*F-V+5", "5,-6*F-9*V+45"], "size": 40, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.84681.1", "splitting_polynomials": [[576, 24, 25, -1, 1]], "twist_count": 12, "twists": [["2.79.ab_fi", "2.6241.kp_bukm", 2], ["2.79.b_fi", "2.6241.kp_bukm", 2], ["2.79.j_gw", "2.6241.kp_bukm", 2], ["2.79.as_ip", "2.493039.cwu_efkwc", 3], ["2.79.m_cv", "2.493039.cwu_efkwc", 3], ["2.79.aw_jj", "2.243087455521.dvgu_cfasreazm", 6], ["2.79.am_cv", "2.243087455521.dvgu_cfasreazm", 6], ["2.79.ai_dp", "2.243087455521.dvgu_cfasreazm", 6], ["2.79.i_dp", "2.243087455521.dvgu_cfasreazm", 6], ["2.79.s_ip", "2.243087455521.dvgu_cfasreazm", 6], ["2.79.w_jj", "2.243087455521.dvgu_cfasreazm", 6]], "weak_equivalence_count": 4, "zfv_index": 10, "zfv_index_factorization": [[2, 1], [5, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 24, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 87300, "zfv_singular_count": 4, "zfv_singular_primes": ["2,-2*F-V+5", "5,-6*F-9*V+45"]}