# Stored data for abelian variety isogeny class 2.23.am_cz, downloaded from the LMFDB on 17 July 2026.
{"abvar_count": 319, "abvar_counts": [319, 285505, 150690496, 78486752025, 41426425940119, 21915509540024320, 11593283034288701911, 6132671453579296178025, 3244152545071251754857664, 1716155165405637360076572625], "abvar_counts_str": "319 285505 150690496 78486752025 41426425940119 21915509540024320 11593283034288701911 6132671453579296178025 3244152545071251754857664 1716155165405637360076572625 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.171291584331371, 0.371639008132744], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 12, "curve_counts": [12, 540, 12384, 280468, 6436332, 148041870, 3404956644, 78311764708, 1801153569312, 41426495138700], "curve_counts_str": "12 540 12384 280468 6436332 148041870 3404956644 78311764708 1801153569312 41426495138700 ", "curves": ["y^2=14*x^6+18*x^5+20*x^4+10*x^3+2*x^2+5*x+7", "y^2=19*x^6+6*x^4+10*x^3+12*x^2+6*x+7", "y^2=6*x^6+13*x^5+20*x^4+10*x^3+19*x^2+22*x+19", "y^2=13*x^6+x^5+8*x^4+19*x^3+14*x^2+12*x+11", "y^2=19*x^6+2*x^5+14*x^4+2*x^3+19*x^2+21*x+20", "y^2=10*x^6+20*x^5+x^4+20*x^3+5*x^2+21*x+20", "y^2=7*x^6+10*x^5+2*x^4+19*x^2+4*x+7", "y^2=19*x^6+17*x^5+6*x^4+19*x^3+5*x^2+17*x+10", "y^2=19*x^6+22*x^5+8*x^4+19*x^3+6*x+12", "y^2=14*x^6+4*x^5+4*x^4+8*x^3+7*x^2+6*x+14", "y^2=14*x^6+3*x^5+4*x^4+21*x^3+16*x^2+19*x+7", "y^2=7*x^6+17*x^5+17*x^4+6*x^3+2*x^2+9*x+22", "y^2=4*x^6+18*x^5+8*x^4+6*x^3+5*x^2+11*x+22", "y^2=19*x^6+21*x^5+x^4+14*x^2+x+5", "y^2=15*x^6+7*x^5+3*x^4+11*x^3+17*x^2+x+18", "y^2=10*x^6+3*x^5+10*x^4+11*x^3+18*x^2+18*x+11"], "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": ["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": ["4.0.47025.1"], "geometric_splitting_field": "4.0.47025.1", "geometric_splitting_polynomials": [[124, -2, 23, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 16, "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": 16, "label": "2.23.am_cz", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.47025.1"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 5, 1, 4], [1, 3, 1, 2]], "poly": [1, -12, 77, -276, 529], "poly_str": "1 -12 77 -276 529 ", "primitive_models": [], "principal_polarization_count": 16, "q": 23, "real_poly": [1, -12, 31], "simple_distinct": ["2.23.am_cz"], "simple_factors": ["2.23.am_czA"], "simple_multiplicities": [1], "singular_primes": ["2,-F^2-V+6"], "size": 16, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.47025.1", "splitting_polynomials": [[124, -2, 23, -1, 1]], "twist_count": 2, "twists": [["2.23.m_cz", "2.529.k_nz", 2]], "weak_equivalence_count": 2, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 8, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 1881, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-F^2-V+6"]}