# Stored data for abelian variety isogeny class 2.79.a_afz, downloaded from the LMFDB on 19 June 2026.
{"abvar_count": 6087, "abvar_counts": [6087, 37051569, 243086633712, 1516209819454521, 9468276079177956927, 59091111489432054898944, 368790120348670590279195567, 2301618973180420348659714515625, 14364405059580771626564279163783792, 89648251911533504871044567133867283329], "abvar_counts_str": "6087 37051569 243086633712 1516209819454521 9468276079177956927 59091111489432054898944 368790120348670590279195567 2301618973180420348659714515625 14364405059580771626564279163783792 89648251911533504871044567133867283329 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.0310639581773351, 0.968936041822665], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 80, "curve_counts": [80, 5932, 493040, 38926996, 3077056400, 243085811902, 19203908986160, 1517108699225188, 119851595982618320, 9468276075729066652], "curve_counts_str": "80 5932 493040 38926996 3077056400 243085811902 19203908986160 1517108699225188 119851595982618320 9468276075729066652 ", "curves": ["y^2=x^6+47*x^3+17", "y^2=x^6+63*x^3+12", "y^2=x^6+54*x^3+17", "y^2=x^6+x^3+57"], "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, "endomorphism_ring_count": 2, "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": 2, "geometric_extension_degree": 2, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.939.1"], "geometric_splitting_field": "2.0.939.1", "geometric_splitting_polynomials": [[235, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 4, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 4, "label": "2.79.a_afz", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.881721.1"], "p": 79, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 2], [1, 13, 1, 4]], "poly": [1, 0, -155, 0, 6241], "poly_str": "1 0 -155 0 6241 ", "primitive_models": [], "principal_polarization_count": 8, "q": 79, "real_poly": [1, 0, -313], "simple_distinct": ["2.79.a_afz"], "simple_factors": ["2.79.a_afzA"], "simple_multiplicities": [1], "singular_primes": ["2,45*F-23*V-1"], "size": 8, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.881721.1", "splitting_polynomials": [[6084, 78, 79, -1, 1]], "twist_count": 4, "twists": [["2.79.ad_de", "2.493039.a_abutsc", 3], ["2.79.d_de", "2.493039.a_abutsc", 3], ["2.79.a_fz", "2.38950081.abidy_rubaud", 4]], "weak_equivalence_count": 2, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 4, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 9, "zfv_singular_count": 2, "zfv_singular_primes": ["2,45*F-23*V-1"]}