# Stored data for abelian variety isogeny class 2.23.am_cy, downloaded from the LMFDB on 17 July 2026.
{"abvar_count": 318, "abvar_counts": [318, 284292, 150246414, 78411145104, 41421021299598, 21915833508260676, 11593400871101108286, 6132684451572789350400, 3244153519445374311141726, 1716155291802775268676630852], "abvar_counts_str": "318 284292 150246414 78411145104 41421021299598 21915833508260676 11593400871101108286 6132684451572789350400 3244153519445374311141726 1716155291802775268676630852 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.156924629148951, 0.379300706966761], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 12, "curve_counts": [12, 538, 12348, 280198, 6435492, 148044058, 3404991252, 78311930686, 1801154110284, 41426498189818], "curve_counts_str": "12 538 12348 280198 6435492 148044058 3404991252 78311930686 1801154110284 41426498189818 ", "curves": ["y^2=19*x^6+18*x^5+9*x^4+17*x^3+13*x^2+7", "y^2=22*x^5+9*x^4+7*x^2+22*x+5", "y^2=21*x^6+7*x^4+12*x^3+4*x^2+3*x+20", "y^2=5*x^5+6*x^4+8*x^3+22*x^2+22*x+2", "y^2=17*x^6+21*x^5+21*x^2+15*x+10", "y^2=14*x^6+9*x^5+14*x^4+17*x^3+18*x^2+18*x+17", "y^2=11*x^6+17*x^5+7*x^4+19*x^3+21*x^2+3*x+5", "y^2=4*x^6+5*x^5+22*x^4+15*x^3+x^2+22*x+22", "y^2=10*x^6+12*x^5+12*x^4+3*x^3+8*x^2+14*x+20", "y^2=13*x^6+7*x^5+3*x^4+22*x^3+17*x^2+20*x+22", "y^2=5*x^6+17*x^4+14*x^3+19*x^2+x+17", "y^2=8*x^6+16*x^5+5*x^4+16*x^3+17*x^2+22"], "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": ["4.0.942336.2"], "geometric_splitting_field": "4.0.942336.2", "geometric_splitting_polynomials": [[142, -36, 22, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 12, "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": 12, "label": "2.23.am_cy", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.942336.2"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2], [1, 3, 1, 6]], "poly": [1, -12, 76, -276, 529], "poly_str": "1 -12 76 -276 529 ", "primitive_models": [], "principal_polarization_count": 12, "q": 23, "real_poly": [1, -12, 30], "simple_distinct": ["2.23.am_cy"], "simple_factors": ["2.23.am_cyA"], "simple_multiplicities": [1], "singular_primes": [], "size": 12, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.942336.2", "splitting_polynomials": [[142, -36, 22, 0, 1]], "twist_count": 2, "twists": [["2.23.m_cy", "2.529.i_ic", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 12, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 1636, "zfv_singular_count": 0, "zfv_singular_primes": []}