# Stored data for abelian variety isogeny class 2.23.am_cs, downloaded from the LMFDB on 17 July 2026.
{"abvar_count": 312, "abvar_counts": [312, 277056, 147591288, 77934744576, 41372398716792, 21912492430550592, 11593050789098338872, 6132622594404614750208, 3244147184171830704254136, 1716155387905118298314020416], "abvar_counts_str": "312 277056 147591288 77934744576 41372398716792 21912492430550592 11593050789098338872 6132622594404614750208 3244147184171830704254136 1716155387905118298314020416 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.0519709137118875, 0.414830815663042], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 12, "curve_counts": [12, 526, 12132, 278494, 6427932, 148021486, 3404888436, 78311140798, 1801150592940, 41426500509646], "curve_counts_str": "12 526 12132 278494 6427932 148021486 3404888436 78311140798 1801150592940 41426500509646 ", "curves": ["y^2=5*x^6+20*x^5+12*x^4+x^3+3*x^2+11*x", "y^2=11*x^6+22*x^5+16*x^4+x^3+4*x^2+10*x+22", "y^2=10*x^6+13*x^5+18*x^4+5*x^3+12*x^2+10*x+11", "y^2=21*x^6+11*x^5+7*x^4+16*x^2+21*x+22", "y^2=7*x^6+8*x^5+13*x^4+15*x^3+14*x^2+22*x+10", "y^2=12*x^6+22*x^5+19*x^4+12*x^3+21*x^2+2*x+5", "y^2=10*x^6+11*x^5+14*x^4+19*x^3+9*x^2+13*x+21", "y^2=3*x^6+14*x^5+22*x^4+5*x^3+21*x^2+17*x+20", "y^2=22*x^6+18*x^5+11*x^4+2*x^3+5*x^2+20*x+14", "y^2=20*x^6+19*x^5+2*x^4+4*x^3+14*x^2+16*x+22", "y^2=7*x^6+22*x^5+21*x^3+12*x^2+11*x+20", "y^2=21*x^6+18*x^5+19*x^4+12*x^3+7*x^2+13*x+10", "y^2=13*x^5+x^4+18*x^3+6*x^2+22*x+19", "y^2=17*x^6+17*x^5+19*x^4+22*x^3+7*x^2+15*x+18"], "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": 4, "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": ["4.0.7488.1"], "geometric_splitting_field": "4.0.7488.1", "geometric_splitting_polynomials": [[6, 0, 4, -2, 1]], "group_structure_count": 3, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 14, "is_cyclic": false, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 14, "label": "2.23.am_cs", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.7488.1"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 4], [1, 13, 1, 2]], "poly": [1, -12, 70, -276, 529], "poly_str": "1 -12 70 -276 529 ", "primitive_models": [], "principal_polarization_count": 14, "q": 23, "real_poly": [1, -12, 24], "simple_distinct": ["2.23.am_cs"], "simple_factors": ["2.23.am_csA"], "simple_multiplicities": [1], "singular_primes": ["2,6*F+V-7"], "size": 22, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.7488.1", "splitting_polynomials": [[6, 0, 4, -2, 1]], "twist_count": 2, "twists": [["2.23.m_cs", "2.529.ae_azq", 2]], "weak_equivalence_count": 5, "zfv_index": 8, "zfv_index_factorization": [[2, 3]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_pic_size": 8, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 208, "zfv_singular_count": 2, "zfv_singular_primes": ["2,6*F+V-7"]}