# Stored data for abelian variety isogeny class 2.13.c_ag, downloaded from the LMFDB on 03 October 2025.
{"abvar_count": 192, "abvar_counts": [192, 26112, 5102784, 823885824, 137948935872, 23301720258048, 3935616359947968, 665421773306068992, 112452846651578582208, 19005118615914469750272], "abvar_counts_str": "192 26112 5102784 823885824 137948935872 23301720258048 3935616359947968 665421773306068992 112452846651578582208 19005118615914469750272 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.271422767186913, 0.884872666880222], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 16, "curve_counts": [16, 154, 2320, 28846, 371536, 4827562, 62720464, 815737054, 10604257936, 137859615034], "curve_counts_str": "16 154 2320 28846 371536 4827562 62720464 815737054 10604257936 137859615034 ", "curves": ["y^2=4*x^6+10*x^5+12*x^4+6*x^3+4*x^2+7*x+6", "y^2=12*x^6+2*x^4+8*x^3+x^2+5*x+3", "y^2=7*x^6+9*x^5+3*x^4+10*x^3+x^2+11*x+7", "y^2=11*x^6+3*x^4+8*x^3+7*x^2+8*x+3", "y^2=x^6+12*x^5+10*x^4+11*x^3+7*x^2+2*x+3", "y^2=10*x^6+3*x^5+5*x^4+12*x^3+2*x^2+8*x+2", "y^2=10*x^6+3*x^5+2*x^4+11*x^3+9*x^2+x+3", "y^2=9*x^6+2*x^5+3*x^4+3*x^3+7*x^2+8*x+2", "y^2=x^6+11*x^5+12*x^4+12*x^3+4*x^2+4*x+1", "y^2=4*x^6+6*x^5+7*x^4+3*x^3+3*x^2+12*x+4", "y^2=5*x^6+8*x^4+12*x^2+2*x+9", "y^2=2*x^5+9*x^4+7*x^2+x+9", "y^2=10*x^6+6*x^5+x^4+12*x^2+x+10", "y^2=4*x^6+11*x^5+8*x^4+6*x^3+3*x^2+5*x", "y^2=5*x^6+5*x^5+5*x^4+10*x^3+10*x+4", "y^2=2*x^5+7*x^4+3*x^3+11*x^2+12*x+5"], "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": 8, "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": ["4.0.13068.1"], "geometric_splitting_field": "4.0.4752.1", "geometric_splitting_polynomials": [[6, -6, 3, 0, 1]], "group_structure_count": 6, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 16, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 16, "label": "2.13.c_ag", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.13068.1"], "p": 13, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 2], [1, 11, 1, 4]], "poly": [1, 2, -6, 26, 169], "poly_str": "1 2 -6 26 169 ", "primitive_models": [], "principal_polarization_count": 16, "q": 13, "real_poly": [1, 2, -32], "simple_distinct": ["2.13.c_ag"], "simple_factors": ["2.13.c_agA"], "simple_multiplicities": [1], "singular_primes": ["2,F+4*V+3"], "size": 32, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.4752.1", "splitting_polynomials": [[6, -6, 3, 0, 1]], "twist_count": 2, "twists": [["2.13.ac_ag", "2.169.aq_kk", 2]], "weak_equivalence_count": 10, "zfv_index": 16, "zfv_index_factorization": [[2, 4]], "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": 192, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F+4*V+3"]}