# Stored data for abelian variety isogeny class 2.79.be_oq, downloaded from the LMFDB on 06 October 2026.
{"abvar_count": 9022, "abvar_counts": [9022, 38090884, 243043486582, 1517489167321296, 9467924844424720102, 59091705798847204113124, 368790058155107706007918222, 2301619144574035366279355520000, 14364405056633461212566660632571182, 89648252000908575912313447209007130404], "abvar_counts_str": "9022 38090884 243043486582 1517489167321296 9467924844424720102 59091705798847204113124 368790058155107706007918222 2301619144574035366279355520000 14364405056633461212566660632571182 89648252000908575912313447209007130404 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.768210038880182, 0.890348806862289], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 110, "curve_counts": [110, 6102, 492950, 38959846, 3076942250, 243088256742, 19203905747570, 1517108812199038, 119851595958026990, 9468276085168490502], "curve_counts_str": "110 6102 492950 38959846 3076942250 243088256742 19203905747570 1517108812199038 119851595958026990 9468276085168490502 ", "curves": ["y^2=72*x^6+x^5+75*x^4+53*x^3+59*x^2+11*x+50", "y^2=47*x^6+47*x^5+49*x^4+27*x^3+10*x^2+70*x+20", "y^2=38*x^6+70*x^5+47*x^4+42*x^3+34*x^2+20*x+78", "y^2=20*x^6+24*x^5+75*x^4+20*x^3+x^2+x+59", "y^2=21*x^6+51*x^5+40*x^4+60*x^3+64*x^2+15*x+18", "y^2=6*x^6+38*x^5+52*x^4+12*x^3+69*x^2+51*x+39", "y^2=27*x^6+64*x^5+70*x^4+59*x^3+2*x^2+27*x+4", "y^2=17*x^6+76*x^5+28*x^4+57*x^3+51*x^2+x"], "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": 1, "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": ["4.0.726336.3"], "geometric_splitting_field": "4.0.726336.3", "geometric_splitting_polynomials": [[337, 2, 44, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 8, "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": 8, "label": "2.79.be_oq", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.726336.3"], "p": 79, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 30, 380, 2370, 6241], "poly_str": "1 30 380 2370 6241 ", "primitive_models": [], "q": 79, "real_poly": [1, 30, 222], "simple_distinct": ["2.79.be_oq"], "simple_factors": ["2.79.be_oqA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.726336.3", "splitting_polynomials": [[337, 2, 44, -2, 1]], "twist_count": 2, "twists": [["2.79.abe_oq", "2.6241.afk_vss", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 5044, "zfv_singular_count": 0, "zfv_singular_primes": []}