# Stored data for abelian variety isogeny class 2.19.m_cq, downloaded from the LMFDB on 15 June 2026.
{"abvar_count": 670, "abvar_counts": [670, 127300, 46793470, 16942611600, 6140314766350, 2212741065343300, 798986725750556110, 288447540686741606400, 104126906202021945091390, 37589982524610807362282500], "abvar_counts_str": "670 127300 46793470 16942611600 6140314766350 2212741065343300 798986725750556110 288447540686741606400 104126906202021945091390 37589982524610807362282500 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.633519705146006, 0.920823034645242], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 32, "curve_counts": [32, 354, 6824, 130006, 2479832, 47033682, 893849408, 16983923806, 322686321536, 6131067736674], "curve_counts_str": "32 354 6824 130006 2479832 47033682 893849408 16983923806 322686321536 6131067736674 ", "curves": ["y^2=6*x^6+12*x^5+11*x^4+4*x^3+3*x^2+16*x+13", "y^2=9*x^6+2*x^5+10*x^4+4*x^3+14*x^2+5*x+15", "y^2=8*x^6+17*x^5+8*x^4+7*x^3+8*x^2+4*x+10", "y^2=x^6+7*x^5+16*x^4+15*x^3+11*x+4"], "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": ["4.0.168192.4"], "geometric_splitting_field": "4.0.168192.4", "geometric_splitting_polynomials": [[46, -36, 14, 0, 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": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 4, "label": "2.19.m_cq", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.168192.4"], "p": 19, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2], [1, 5, 1, 2]], "poly": [1, 12, 68, 228, 361], "poly_str": "1 12 68 228 361 ", "primitive_models": [], "principal_polarization_count": 4, "q": 19, "real_poly": [1, 12, 30], "simple_distinct": ["2.19.m_cq"], "simple_factors": ["2.19.m_cqA"], "simple_multiplicities": [1], "singular_primes": [], "size": 4, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.168192.4", "splitting_polynomials": [[46, -36, 14, 0, 1]], "twist_count": 2, "twists": [["2.19.am_cq", "2.361.ai_aew", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 4, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 292, "zfv_singular_count": 0, "zfv_singular_primes": []}